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
xy3y = xe−x​

Evaluate I = ∫₀3 x·e−x dx.

∫₀3 x·e−x dx
I =
2.Easy
xy2.5y = xex​

Evaluate I = ∫₀2.5 x·ex dx.

∫₀2.5 x·ex dx
I =
3.Medium
xy02

Evaluate I = ∫02 2x·(x² + 1)3 dx.

f(x) = 2x·(x² + 1)3[0, 2]
I =
4.Medium
xy12

Evaluate I = ∫12 2/x dx.

f(x) = 2/x[1, 2]
I =
5.Hard
xy2y = x²eˣ

Evaluate I = ∫₀2 x²·eˣ dx.

∫₀2 x²eˣ dx
I =
6.Hard
xyy = 0.5x2​y = 4x

Find the area A of the region enclosed by y = 0.5x2 and y = 4x.

y = 0.5x2y = 4x
A =

Answer key

  1. 1. I = 0.8009
  2. 2. I = 19.27
  3. 3. I = 156
  4. 4. I = 1.386
  5. 5. I = 12.78
  6. 6. A = 42.67

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