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 (−2x³ + 5x − 5) dx.

f(x) = −2x³ + 5x − 5[1, 3]

I =

2.Easy

Evaluate I = ∫₋₁¹ (x² − 2) dx.

f(x) = x² − 2[−1, 1]

I =

3.Medium

Evaluate I = ∫₂⁸ 2/x dx.

f(x) = 2/x[2, 8]

I =

4.Medium

Evaluate I = ∫₀¹ e^2x dx.

f(x) = e^2x[0, 1]

I =

5.Hard

Find the area A of the region enclosed by y = 0.5x² and y = 2x.

y = 0.5x²y = 2x

A =

6.Hard

Evaluate I = ∫₀¹ x²·eˣ dx.

∫₀¹ x²eˣ dx

I =

Answer key

1. I = −30
2. I = −3.333
3. I = 2.773
4. I = 3.195
5. A = 5.333
6. I = 0.7183

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