Integrals worksheet with answers

Free printable Integrals worksheet: 6 problems from easy to exam level, with an answer key. Print it or save it as a PDF.

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1.Easy

Evaluate I = ∫₁³ (4x³ − 2) dx.

f(x) = 4x³ − 2[1, 3]

I =

2.Easy

Evaluate I = ∫₀^2.5 x·e^2x dx.

∫₀^2.5 x·e^2x dx

I =

3.Medium

Evaluate I = ∫₁^1.5 x·ln x dx.

∫₁^1.5 x ln x dx

I =

4.Medium

Evaluate I = ∫₀³ e^2x dx.

f(x) = e^2x[0, 3]

I =

5.Hard

Find the area A of the region between the parabola y = 4 − x² and the x-axis.

y = 4 − x²

A =

6.Hard

Find the area A of the region enclosed by y = 2x² and y = x.

y = 2x²y = x

A =

Answer key

1. I = 76
2. I = 148.7
3. I = 0.1436
4. I = 201.2
5. A = 10.67
6. A = 0.04167

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