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−12

Evaluate I = ∫−12 (−2x2 + 5x) dx.

f(x) = −2x2 + 5x[−1, 2]
I =
2.Easy
xy2.5y = xex​

Evaluate I = ∫₀2.5 x·ex dx.

∫₀2.5 x·ex dx
I =
3.Medium
xy14y = x ln x

Evaluate I = ∫₁4 x·ln x dx.

∫₁4 x ln x dx
I =
4.Medium
xy02

Evaluate I = ∫02 e2x dx.

f(x) = e2x[0, 2]
I =
5.Hard
xy−33

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

y = 9 − x²
A =
6.Hard
xy2y = x²eˣ

Evaluate I = ∫₀2 x²·eˣ dx.

∫₀2 x²eˣ dx
I =

Answer key

  1. 1. I = 1.5
  2. 2. I = 19.27
  3. 3. I = 7.34
  4. 4. I = 26.8
  5. 5. A = 36
  6. 6. I = 12.78

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