Calculus · Practice

Integrals — Exercises

Graded practice problems from foundations to advanced. Enter your answer and press Check.

Foundations

Problem 1

Evaluate $\displaystyle\int_0^3 x^2 \, dx$ .

Problem 2

Evaluate $\displaystyle\int_0^2 2x \, dx$ .

Problem 3

Evaluate $\displaystyle\int_{-\pi}^{\pi} \sin x \, dx$ .

Problem 4

Evaluate $\displaystyle\int_0^1 x \, dx$ .

Problem 5

Evaluate $\displaystyle\int_0^{\pi} \sin x \, dx$ .

Problem 6

Evaluate $\displaystyle\int_1^4 x \, dx$ .

Problem 7

Evaluate $\displaystyle\int_0^{\ln 2} e^x \, dx$ .

Problem 8

Evaluate $\displaystyle\int_0^3 (x^2 + 2x) \, dx$ .

Problem 9

Evaluate $\displaystyle\int_0^1 2x \cdot e^{x^2} \, dx$ .

Problem 10

Evaluate $\displaystyle\int_0^4 (x + 1)^2 \, dx$ .

Problem 11

Evaluate $\displaystyle\int_0^1 \frac{x}{x^2 + 1} \, dx$ .