Fundamental Theorem of Calculus #1 problems
First Fundamental Theorem of Calculus example question
Use the First Fundamental Theorem of Calculus to find the Definite Integral of f(x) = x2 – 2x, from x = 0 to x = 2
Solution to this Calculus Definite Integral practice problem is given in the video below!
HARD First Fundamental Theorem of Calculus example problem
Find the value of the following Definite Integral
when
Solution to this Calculus Definite Integral practice problem is given in the video below!
Mean Value Theorem Integration problems
Integration with Mean Value Theorem example question
Estimate the Definite Integral value of a function f(x) = 3cos(x2) from
to
by using the Integral Mean Value Theorem.
Solution to this Calculus Definite Integral practice problem is given in the video below!
Integration with Mean Value Theorem example problem
Find the value of c that concludes the Integral Mean Value Theorem for the function f(x) = 3x2 from x = 0 to x = 2.
Solution to this Calculus Definite Integral practice problem is given in the video below!
Riemann Sum Definite Integral problems
Riemann Sum Integration example question
Find the Definite Integral of a function f(x) = x2 – 3 from x = 1 to x = 3, by using the Riemann Sum.
Solution to this Calculus Riemann Sum Definite Integral practice problem is given in the video below!
SAT Math problems (complete Playlist)
Find practice problems from all
8 official SAT Math practice tests
in the video series below.
Powerful SAT Math eBook (see video below) will dramatically raise your SAT Math score. This eBook contains 570 practice questions and 12 real SAT Math practice tests – 1,266 Math problems in total! The package you get includes complete solutions for all 1,266 problems – in other words, this solution manual contains detailed explanations for all 1,266 problems!
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GRE Math problems (complete Playlist)
Explore a variety of GRE Math examples and practice problems that will help you raise your actual exam score.
GED Math problems (complete Playlist)
Explore lots of examples and practice problems that will help you improve your GED Math score!
The video playlist below covers whole numbers and operations, number sense, decimal numbers and operations, word problems, fractions and operations, number relationships, statistics and data analysis, percents, algebra, measurement, geometry, and more.
ACT Math Tips, Tricks & Strategies (complete Playlist)
Find lots of ACT Math tips, tricks and strategies
explored in practice problems that will help you boost your actual score.
Powerful SAT Math eBook (see video below) will dramatically raise your SAT Math score. This eBook contains 570 practice questions and 12 real SAT Math practice tests – 1,266 Math problems in total! The package you get includes complete solutions for all 1,266 problems – in other words, this solution manual contains detailed explanations for all 1,266 problems!
Please visit our Youtube channel video to see some user comments (success stories) with this eBook.
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Math Tricks (complete Playlist)
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Math Puzzles (complete Playlist)
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Theoretical & Math Proof problems (complete Playlist)
Explore a variety of Theoretical and Proof examples and practice problems applicable to Algebra, Geometry, Trigonometry, Precalculus, Calculus, and Discrete Math courses.
Sequences & Series problems (complete Playlist)
Lots of different Sequences & Series examples and practice problems applicable to your Calculus or Precalculus courses.
Infinite Series problems (complete Playlist)
Explore a wide range of Infinite Series examples and practice problems for your Calculus or Precalculus courses.
Infinite Sequences problems (complete Playlist)
Find a variety of Sequences examples and practice problems for your Calculus or Precalculus courses.
Improper Integrals problems (complete Playlist)
Explore detailed Improper Integral examples and practice problems that will help you improve in this Calculus topic.
Hard & Complex Integration problems (complete Playlist)
Find challenging Integral and Antiderivatives examples and practice problems that will help you sharpen your Calculus skills.
Integration by Partial Fractions problems (complete Playlist)
Explore a variety of Integral and Antiderivatives partial fraction decomposition examples and practice problems applicable to your Calculus classes.
Integration by Parts problems (complete Playlist)
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Integration by Substitution problems (complete Playlist)
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Integration & Antiderivatives problems (complete Playlist)
Find many different Integration examples and practice problems that will help you improve your knowledge of Calculus.
Specific topics (all clickable links) in this section are provided below:
- Integration of Functions with Roots & Fractions
- Integration of Exponential Functions by Substitution
- Integration of Logarithmic Functions by Substitution
- Integration of Trigonometric Functions by Substitution
- Integration of Inverse Trigonometric Functions by Substitution
- Integration of Hyperbolic & Inverse Hyperbolic Functions by Substitution
- Integration by Parts
- Integration by Trigonometric Substitution
- Integration by Partial Fraction Decomposition
- Improper Integrals
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Definite Integrals and Antiderivatives will be used to solve application problems found in Physics and Engineering.
Work examples include Pumping Liquids, Pulling a Spring, Pulling Objects with Cable or Rope, and more.
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Differential Equations problems (complete Playlist)
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Find detailed examples and practice problems for your Pre-Algebra, Algebra 1, Algebra 2, and College Algebra courses.
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Find many different practice problems and examples to succeed on your upcoming Actuarial Science classes and exams.
Topics include Probability, Statistics, and more.
Euler Formula Complex Roots of the Characteristic Equation problems
Complex Roots of the Characteristic Equation example question
In each of the given examples, use Euler’s formula to write the given expression in the form a + ib.
Solution to this Differential Equations practice problem is given in the video below!
Wronskian of Functions problems
Wronskian of Functions example question
Find the Wronskian of the given pair of functions:
Solution to this Differential Equations practice problem is given in the video below!
Second Order Differential Equations with Constant Coefficients problems
Differential Equation with Constant Coefficients example question
Find the general solution of the given differential equation
Solution to this Differential Equations practice problem is given in the video below!
Exact Differential Equations problems
EXACT Differential Equation example question
Solve the differential equation
by first showing that it is exact and then find the solution.
Solution to this Differential Equations practice problem is given in the video below!
First Order Differential Equation Modeling Tank problems
First Order Differential Equation Modeling Tank example question
Consider a tank used in certain hydrodynamic experiments. After one experiment the tank contains 200 liters of a dye solution with a concentration of 1 gram per liter. To prepare for the next experiment, the tank is to be rinsed with fresh water flowing in at a rate of 2 liter per minute, the well-stirred solution flowing out at the same rate. Find the time that will elapse before the concentration of dye in the tank reaches 1% of its original value.
Solution to this Differential Equations practice problem is given in the video below!
Homogeneous Differential Equations problems
Homogeneous Differential Equation Equation example question
Solve the differential equation
by showing it is homogeneous and separable and then find the solution.
Solution to this Differential Equations practice problem is given in the video below!
Separable Differential Equations problems
Separable Differential Equations example question
Solve the differential equation
by showing it is separable and then use Integration to find the solution.
Solution to this Differential Equations practice problem is given in the video below!
Piecewise Functions Continuity Differentiability Calculus problems
Calculus Piecewise Function Continuity example problem
Find the value of a that will make f(x) continuous everywhere:
Solution to this Calculus Function Continuity practice problem is given in the video below!
Calculus Piecewise Function Continuity DIFFERENTIABILITY example question
Find the value of constants a and b that will make f(x) continuous everywhere:
Solution to this Calculus Function Continuity Differentiability practice problem is given in the video below!
Removal of Discontinuity problems
Removal of Discontinuity example question
Determine whether the Function Discontinuity is removable in the following functions:
Solution to these Calculus Continuity practice problems is given in the video below!
Continuity Graphs problems Calculus problems
GRAPH of Function Continuity example question
A function f is continuous at x = a if
• f(a) is defined
• exists
• = f(a)
Various Calculus Continuity Graphs practice problems are discussed in the video below!
GED Math problems – Order of Operations
GED Math Order of Operations example question
Find the value of the following expressions using Order of Operations and P.E.M.D.A.S. rules.
(4 + 9) • 5 =
12 7 + 4 =
=
+ 9 =
8 • 3 + 6 • 4 =
4(5 + 3)2 =
6 + 21 ÷ 3 52 =
Solution to these GED Math practice problems is given in the video below!
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