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 = ∫₀² x·e^2x dx.

∫₀² x·e^2x dx

I =

2.Easy

Evaluate I = ∫₁⁴ (2x² + 4x + 7) dx.

f(x) = 2x² + 4x + 7[1, 4]

I =

3.Medium

Evaluate I = ∫₀² e^0.5x dx.

f(x) = e^0.5x[0, 2]

I =

4.Medium

Evaluate I = ∫₀² e^x dx.

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

I =

5.Hard

The region between the line y = 2x and the parabola y = 2x² is rotated about the x-axis. Find the volume V of the solid.

y = 2xy = 2x²

V =

6.Hard

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

y = 2x²y = x

A =

Answer key

1. I = 41.2
2. I = 93
3. I = 3.437
4. I = 6.389
5. V = 1.676
6. A = 0.04167

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