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 (−4x³ + 3x − 3) dx.

f(x) = −4x³ + 3x − 3[1, 3]

I =

2.Easy

Evaluate I = ∫₀^1.5 x·e^−x dx.

∫₀^1.5 x·e^−x dx

I =

3.Medium

Evaluate I = ∫₀^π x·sin x dx (x in radians).

∫₀^π x·sin x dx

I =

4.Medium

Evaluate I = ∫₂⁴ 4/x dx.

f(x) = 4/x[2, 4]

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 enclosed by y = 0.5x² and y = 3x.

y = 0.5x²y = 3x

A =

Answer key

1. I = −74
2. I = 0.4422
3. I = 3.142
4. I = 2.773
5. I = 0.0609
6. A = 18

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