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−11

Evaluate I = ∫−11 (4x2 + 3x + 2) dx.

f(x) = 4x2 + 3x + 2[−1, 1]
I =
2.Easy
xy−2−1

Evaluate I = ∫−2−1 (x2 + 3x + 7) dx.

f(x) = x2 + 3x + 7[−2, −1]
I =
3.Medium
xy01

Evaluate I = ∫01 2x·(x² + 1)1 dx.

f(x) = 2x·(x² + 1)1[0, 1]
I =
4.Medium
xy01

Evaluate I = ∫01 e2x dx.

f(x) = e2x[0, 1]
I =
5.Hard
xy−11

Find the area A of the region between the parabola y = 1 − x² and the x-axis.

y = 1 − x²
A =
6.Hard
xyy = 0.5x2​y = x

Find the area A of the region enclosed by y = 0.5x2 and y = x.

y = 0.5x2y = x
A =

Answer key

  1. 1. I = 6.667
  2. 2. I = 4.833
  3. 3. I = 1.5
  4. 4. I = 3.195
  5. 5. A = 1.333
  6. 6. A = 0.6667

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