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 = ∫₋₁¹ (−4x² − 4x + 4) dx.

f(x) = −4x² − 4x + 4[−1, 1]

I =

2.Easy

Evaluate I = ∫₋₁¹ (−2x² − 6x) dx.

f(x) = −2x² − 6x[−1, 1]

I =

3.Medium

Evaluate I = ∫₁^2.5 x·ln x dx.

∫₁^2.5 x ln x dx

I =

4.Medium

Evaluate I = ∫₀³ e^x dx.

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

I =

5.Hard

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

y = x²y = 4x

A =

6.Hard

Evaluate I = ∫₀^2.5 x²·eˣ dx.

∫₀^2.5 x²eˣ dx

I =

Answer key

1. I = 5.333
2. I = −1.333
3. I = 1.551
4. I = 19.09
5. A = 10.67
6. I = 37.59

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