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
xy01

Evaluate I = ∫01 (x3 + 6x − 5) dx.

f(x) = x3 + 6x − 5[0, 1]
I =
2.Easy
xy−2−1

Evaluate I = ∫−2−1 (−4x2 + 4x + 1) dx.

f(x) = −4x2 + 4x + 1[−2, −1]
I =
3.Medium
xy03

Evaluate I = ∫03 e−0.5x dx.

f(x) = e−0.5x[0, 3]
I =
4.Medium
xy14y = x ln x

Evaluate I = ∫₁4 x·ln x dx.

∫₁4 x ln x dx
I =
5.Hard
xy3y = x²eˣ

Evaluate I = ∫₀3 x²·eˣ dx.

∫₀3 x²eˣ dx
I =
6.Hard
xy−33

Find the area A of the region between the parabola y = 9 − x² and the x-axis.

y = 9 − x²
A =

Answer key

  1. 1. I = −1.75
  2. 2. I = −14.33
  3. 3. I = 1.554
  4. 4. I = 7.34
  5. 5. I = 98.43
  6. 6. A = 36

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