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 = ∫₋₁² (−3x³ − 5x − 5) dx.

f(x) = −3x³ − 5x − 5[−1, 2]

I =

2.Easy

Evaluate I = ∫₀¹ x·e^x/2 dx.

∫₀¹ x·e^x/2 dx

I =

3.Medium

Evaluate I = ∫₀³ e^2x dx.

f(x) = e^2x[0, 3]

I =

4.Medium

Evaluate I = ∫₀² 2x·(x² + 1)¹ dx.

f(x) = 2x·(x² + 1)¹[0, 2]

I =

5.Hard

Evaluate I = ∫₀¹ x²·eˣ dx.

∫₀¹ x²eˣ dx

I =

6.Hard

Evaluate I = ∫₀³ x²·eˣ dx.

∫₀³ x²eˣ dx

I =

Answer key

1. I = −33.75
2. I = 0.7026
3. I = 201.2
4. I = 12
5. I = 0.7183
6. I = 98.43

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