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 (3x3 + 6x − 4) dx.

f(x) = 3x3 + 6x − 4[−1, 1]
I =
2.Easy
xy2.5y = xe2x​

Evaluate I = ∫₀2.5 x·e2x dx.

∫₀2.5 x·e2x dx
I =
3.Medium
xy12

Evaluate I = ∫12 3/x dx.

f(x) = 3/x[1, 2]
I =
4.Medium
xy03

Evaluate I = ∫03 e0.5x dx.

f(x) = e0.5x[0, 3]
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 = 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 = −8
  2. 2. I = 148.7
  3. 3. I = 2.079
  4. 4. I = 6.963
  5. 5. A = 10.67
  6. 6. A = 0.6667

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