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
xy3y = xe−x​

Evaluate I = ∫₀3 x·e−x dx.

∫₀3 x·e−x dx
I =
2.Easy
xy−21

Evaluate I = ∫−21 (4x2 − 4x + 7) dx.

f(x) = 4x2 − 4x + 7[−2, 1]
I =
3.Medium
xy02

Evaluate I = ∫02 e0.5x dx.

f(x) = e0.5x[0, 2]
I =
4.Medium
xy02

Evaluate I = ∫02 e2x dx.

f(x) = e2x[0, 2]
I =
5.Hard
xy3y = x²eˣ

Evaluate I = ∫₀3 x²·eˣ dx.

∫₀3 x²eˣ dx
I =
6.Hard
xy1.5y = x²eˣ

Evaluate I = ∫₀1.5 x²·eˣ dx.

∫₀1.5 x²eˣ dx
I =

Answer key

  1. 1. I = 0.8009
  2. 2. I = 39
  3. 3. I = 3.437
  4. 4. I = 26.8
  5. 5. I = 98.43
  6. 6. I = 3.602

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