Practice Integral in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
The reverse operation of differentiation; it also computes the exact area under a curve between two points.
If derivative gives rate, integral gives total. Derivative of position = velocity; integral of velocity = position.
Example 1
easyFind \int (4x^3 + 6x) \, dx
Example 2
mediumEvaluate \int_0^2 (3x^2 + 1) \, dx
Example 3
easyFind \int (5x^2 - 3x + 7) \, dx
Example 4
hardFind \int \frac{1}{x} \, dx and explain why the standard power rule does not apply.