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
xy−10

Evaluate I = ∫−10 (3x3 + 5x + 4) dx.

f(x) = 3x3 + 5x + 4[−1, 0]
I =
2.Easy
xy01

Evaluate I = ∫01 (−x2 − 4x + 5) dx.

f(x) = −x2 − 4x + 5[0, 1]
I =
3.Medium
xy02

Evaluate I = ∫02 e−0.5x dx.

f(x) = e−0.5x[0, 2]
I =
4.Medium
xy01

Evaluate I = ∫01 ex dx.

f(x) = ex[0, 1]
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
xyy = 2x2​y = 4x

Find the area A of the region enclosed by y = 2x2 and y = 4x.

y = 2x2y = 4x
A =

Answer key

  1. 1. I = 0.75
  2. 2. I = 2.667
  3. 3. I = 1.264
  4. 4. I = 1.718
  5. 5. A = 10.67
  6. 6. A = 2.667

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