Adaptive Practice
Integrals
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Question 1 of 10
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Easy
What is the integral of a constant 'a' with respect to x?
Easy
Find \( \int x^2 \, dx \).
Medium
Evaluate \( \int (3x^2 + 2x + 1) \, dx \).
Easy
If \( \frac{dy}{dx} = 5x^4 \), find y.
Medium
Find \( \int \frac{1}{x} \, dx \).
Medium
Evaluate \( \int (2x^3 - 3x + 4) \, dx \).
Easy
If \( \int f(x) dx = x^3 + 2x + C \), find \( f(x) \).
Hard
Evaluate \( \int (4x^3 - 6x^2 + x - 5) \, dx \).
Hard
Evaluate \( \int \frac{3x^2 + 2x + 1}{x} \, dx \).
Medium
If \( \frac{dy}{dx} = \frac{1}{\sqrt{x}} \), find y.