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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Name: ____________________ Date: ____________

1.Easy

Evaluate I = ∫₀^0.5 x·e^−x dx.

∫₀^0.5 x·e^−x dx

I =

2.Easy

Evaluate I = ∫₀² x·e^x dx.

∫₀² x·e^x dx

I =

3.Medium

Evaluate I = ∫₀¹ 2x·(x² + 1)² dx.

f(x) = 2x·(x² + 1)²[0, 1]

I =

4.Medium

Evaluate I = ∫₁³ x·ln x dx.

∫₁³ x ln x dx

I =

5.Hard

Evaluate I = ∫₀^2.5 x²·eˣ dx.

∫₀^2.5 x²eˣ dx

I =

6.Hard

Evaluate I = ∫₀^1.5 x²·eˣ dx.

∫₀^1.5 x²eˣ dx

I =

Answer key

1. I = 0.0902
2. I = 8.389
3. I = 2.333
4. I = 2.944
5. I = 37.59
6. I = 3.602

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