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 = ∫₁⁴ (−3x² − 4x) dx.

f(x) = −3x² − 4x[1, 4]

I =

2.Easy

Evaluate I = ∫₋₁¹ (2x³ − 2x + 8) dx.

f(x) = 2x³ − 2x + 8[−1, 1]

I =

3.Medium

Evaluate I = ∫₂⁶ 2/x dx.

f(x) = 2/x[2, 6]

I =

4.Medium

Evaluate I = ∫₀² e^x dx.

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

I =

5.Hard

Evaluate I = ∫₀^1.5 x²·eˣ dx.

∫₀^1.5 x²eˣ dx

I =

6.Hard

Evaluate I = ∫₀¹ x²·eˣ dx.

∫₀¹ x²eˣ dx

I =

Answer key

1. I = −93
2. I = 16
3. I = 2.197
4. I = 6.389
5. I = 3.602
6. I = 0.7183

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