We have changed our privacy policy. In addition, we use cookies on our website for various purposes. By continuing on our website, you consent to our use of cookies. You can learn about our practices by reading our privacy policy.

The Fundamental Theorem of Calculus Exercises

Example 1

Find the simplest antiderivative of the function. Pay attention to which variable is being used.

f(x) = 10x⁹

Example 2

Find the simplest antiderivative of the function. Pay attention to which variable is being used.

f(x) = x³

Example 3

Find the simplest antiderivative of the function. Pay attention to which variable is being used.

Example 4

Find the simplest antiderivative of the function. Pay attention to which variable is being used.

f(t) = -sin t

Example 5

Find the simplest antiderivative of the function. Pay attention to which variable is being used.

f(x) = -cos x

Example 6

Find the simplest antiderivative of the function. Pay attention to which variable is being used.

f(t) = sec² t

Example 7

Find the simplest antiderivative of the function. Pay attention to which variable is being used.

f(x) = e^2x

Example 8

Find the simplest antiderivative of the function. Pay attention to which variable is being used.

f(x) = 5^x ln 5

Example 9

Find the simplest antiderivative of the function. Pay attention to which variable is being used.

Example 10

Find the simplest antiderivative of the function. Pay attention to which variable is being used.

f(x) = x² + 3x – 5

Example 11

Evaluate the integral.

Example 12

Evaluate the integral.

Example 13

Evaluate the integral.

Example 14

Evaluate the integral.

Example 15

Evaluate the integral.

Example 16

Evaluate the integral.

Example 17

Evaluate the integral.

Example 18

Evaluate the integral.

Example 19

Evaluate the integral.

Example 20

Evaluate the integral.