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
xy14

Evaluate I = ∫14 (2x2 + 3x + 4) dx.

f(x) = 2x2 + 3x + 4[1, 4]
I =
2.Easy
xy2y = xe−x​

Evaluate I = ∫₀2 x·e−x dx.

∫₀2 x·e−x dx
I =
3.Medium
xy28

Evaluate I = ∫28 2/x dx.

f(x) = 2/x[2, 8]
I =
4.Medium
xy12y = x ln x

Evaluate I = ∫₁2 x·ln x dx.

∫₁2 x ln x dx
I =
5.Hard
xy2y = x²eˣ

Evaluate I = ∫₀2 x²·eˣ dx.

∫₀2 x²eˣ dx
I =
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 = 76.5
  2. 2. I = 0.594
  3. 3. I = 2.773
  4. 4. I = 0.6363
  5. 5. I = 12.78
  6. 6. A = 0.6667

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