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
xy2y = xe2x​

Evaluate I = ∫₀2 x·e2x dx.

∫₀2 x·e2x dx
I =
2.Easy
xy−20

Evaluate I = ∫−20 (3x3 + 3x + 7) dx.

f(x) = 3x3 + 3x + 7[−2, 0]
I =
3.Medium
xy01

Evaluate I = ∫01 e−x dx.

f(x) = e−x[0, 1]
I =
4.Medium
xy02

Evaluate I = ∫02 ex dx.

f(x) = ex[0, 2]
I =
5.Hard
xy1.5y = x²eˣ

Evaluate I = ∫₀1.5 x²·eˣ dx.

∫₀1.5 x²eˣ dx
I =
6.Hard
xyy = x2​y = x

Find the area A of the region enclosed by y = x2 and y = x.

y = x2y = x
A =

Answer key

  1. 1. I = 41.2
  2. 2. I = −4
  3. 3. I = 0.6321
  4. 4. I = 6.389
  5. 5. I = 3.602
  6. 6. A = 0.1667

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