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
xy0.5y = xe2x​

Evaluate I = ∫₀0.5 x·e2x dx.

∫₀0.5 x·e2x dx
I =
2.Easy
xy1y = xe−x​

Evaluate I = ∫₀1 x·e−x dx.

∫₀1 x·e−x dx
I =
3.Medium
xy01

Evaluate I = ∫01 2x·(x² + 1)2 dx.

f(x) = 2x·(x² + 1)2[0, 1]
I =
4.Medium
xy13y = x ln x

Evaluate I = ∫₁3 x·ln x dx.

∫₁3 x ln x dx
I =
5.Hard
xy−22

Find the area A of the region between the parabola y = 4 − x² and the x-axis.

y = 4 − x²
A =
6.Hard
xy0.5y = x²eˣ

Evaluate I = ∫₀0.5 x²·eˣ dx.

∫₀0.5 x²eˣ dx
I =

Answer key

  1. 1. I = 0.25
  2. 2. I = 0.2642
  3. 3. I = 2.333
  4. 4. I = 2.944
  5. 5. A = 10.67
  6. 6. I = 0.0609

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