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Calculus

Formula for the volume of revolution around the y axis

Volume of Revolution About the y-Axis with Examples

The volume of revolution formed when we rotate an area by 2π around the y-axis can be found by using ... Read more

Categories Calculus
Formula for the volume of revolution around the x axis

Volume of Revolution About the x-Axis with Examples

The volume of revolution about the x-axis can be found by evaluating a definite integral with respect to the square ... Read more

Categories Calculus
Diagram of the area between two curves

Area Between Two Curves - Examples with Answers

We can find the area between two curves by finding the area under each curve separately. Then, we can subtract ... Read more

Categories Calculus
Formula for the area between a curve and y axis

Area Between a Curve and y Axis with Examples

The area between a curve and the y-axis can be found using two main methods. The first method consists of ... Read more

Categories Calculus
Diagram of the area under a curve

Area Under a Curve - Examples with Answers

The area under a curve can be found using definite integrals. In turn, the definite integrals are calculated by integrating ... Read more

Categories Calculus
Definite Integral Formula

Definite Integrals - Examples with Answers

Definite integrals are characterized by resulting in a specific or defined value. To find the definite integral of a function, ... Read more

Categories Calculus
Integrals of functions

Indefinite Integrals - Examples with Answers

The indefinite integrals of functions with numerical exponents can be solved by adding 1 to the exponent of each term, ... Read more

Categories Calculus
Formula for the integral of a polynomial

Integrals of Polynomials - Examples with answers

The integral of a polynomial can be found by adding 1 to the exponents of the variable of each term ... Read more

Categories Calculus
Second Derivative Criterion

Second Derivative Test for Stationary Points

The second derivative test is a test that allows us to find the nature of the stationary points of a ... Read more

Categories Calculus
Maxima and minima of a curve

Maxima and minima with second derivative - Examples with answers

The maximum and minimum points of a function are stationary points. These points can be found by forming an equation ... Read more

Categories Calculus
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