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^x/2 dx.

∫₀² x·e^x/2 dx

I =

2.Easy

Evaluate I = ∫₁² (−3x³ − 3x − 2) dx.

f(x) = −3x³ − 3x − 2[1, 2]

I =

3.Medium

Evaluate I = ∫₀² e^0.5x dx.

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

I =

4.Medium

Evaluate I = ∫₀^π/3 x·cos x dx (x in radians).

∫₀^π/3 x·cos x dx

I =

5.Hard

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

y = 0.5x²y = x

A =

6.Hard

Find the area A of the region between the parabola y = 9 − x² and the x-axis.

y = 9 − x²

A =

Answer key

1. I = 4
2. I = −17.75
3. I = 3.437
4. I = 0.4069
5. A = 0.6667
6. A = 36

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