Adaptive Practice

Integral Calculus

10 questions • Earn up to 98 XP • First attempt — go for 100%!

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Question 1 of 10 ⏱ 0:30
Easy
Evaluate \( \int x^2 \, dx \).
Easy
Find \( \int_0^1 (3x^2 + 2x + 1) \, dx \).
Easy
If \( F(x) = \int_1^x \frac{1}{t} dt \), then \( F(x) \) is equal to:
Medium
Evaluate \( \int x e^{x^2} dx \).
Easy
Evaluate \( \int \frac{dx}{\sqrt{1 - x^2}} \).
Medium
Find \( \int \ln x \, dx \).
Medium
Evaluate \( \int_0^{\pi/2} \sin^2 x \, dx \).
Hard
Evaluate \( \int \frac{dx}{x \ln x} \) for \( x > 1 \).
Medium
Evaluate \( \int x \cos(x^2) \, dx \).
Easy
Evaluate \( \int \frac{dx}{1 + x^2} \).

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