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 = ∫₀¹ (x² + 4x + 4) dx.

f(x) = x² + 4x + 4[0, 1]

I =

2.Easy

Evaluate I = ∫₁⁴ (−3x² − 6x − 1) dx.

f(x) = −3x² − 6x − 1[1, 4]

I =

3.Medium

Evaluate I = ∫₁⁵ 3/x dx.

f(x) = 3/x[1, 5]

I =

4.Medium

Evaluate I = ∫₀² e^2x dx.

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

I =

5.Hard

Evaluate I = ∫₀^0.5 x²·eˣ dx.

∫₀^0.5 x²eˣ dx

I =

6.Hard

Find the area A of the region between the parabola y = 1 − x² and the x-axis.

y = 1 − x²

A =

Answer key

1. I = 6.333
2. I = −111
3. I = 4.828
4. I = 26.8
5. I = 0.0609
6. A = 1.333

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