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
xy0.5y = xex​

Evaluate I = ∫₀0.5 x·ex dx.

∫₀0.5 x·ex dx
I =
2.Easy
xy01

Evaluate I = ∫01 (3x3 − 2x − 3) dx.

f(x) = 3x3 − 2x − 3[0, 1]
I =
3.Medium
xy11.5y = x ln x

Evaluate I = ∫₁1.5 x·ln x dx.

∫₁1.5 x ln x dx
I =
4.Medium
xy12.5y = x ln x

Evaluate I = ∫₁2.5 x·ln x dx.

∫₁2.5 x ln x dx
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
xy2y = x²eˣ

Evaluate I = ∫₀2 x²·eˣ dx.

∫₀2 x²eˣ dx
I =

Answer key

  1. 1. I = 0.1756
  2. 2. I = −3.25
  3. 3. I = 0.1436
  4. 4. I = 1.551
  5. 5. A = 10.67
  6. 6. I = 12.78

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