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 = ∫₀³ x·e^x/2 dx.

∫₀³ x·e^x/2 dx

I =

2.Easy

Evaluate I = ∫₁² (−4x² + 3x) dx.

f(x) = −4x² + 3x[1, 2]

I =

3.Medium

Evaluate I = ∫₀¹ 2x·(x² + 1)³ dx.

f(x) = 2x·(x² + 1)³[0, 1]

I =

4.Medium

Evaluate I = ∫₀¹ 2x·(x² + 1)¹ dx.

f(x) = 2x·(x² + 1)¹[0, 1]

I =

5.Hard

Find the area A of the region enclosed by y = 2x² and y = 4x.

y = 2x²y = 4x

A =

6.Hard

Evaluate I = ∫₀^1.5 x²·eˣ dx.

∫₀^1.5 x²eˣ dx

I =

Answer key

1. I = 12.96
2. I = −4.833
3. I = 3.75
4. I = 1.5
5. A = 2.667
6. I = 3.602

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