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−10

Evaluate I = ∫−10 (−3x2 + 8) dx.

f(x) = −3x2 + 8[−1, 0]
I =
2.Easy
xy0.5y = xe−x​

Evaluate I = ∫₀0.5 x·e−x dx.

∫₀0.5 x·e−x dx
I =
3.Medium
xy01

Evaluate I = ∫01 e−0.5x dx.

f(x) = e−0.5x[0, 1]
I =
4.Medium
xy2y = x·cos x

Evaluate I = ∫₀2 x·cos x dx (x in radians).

∫₀2 x·cos x dx
I =
5.Hard
xy0.5y = x²eˣ

Evaluate I = ∫₀0.5 x²·eˣ dx.

∫₀0.5 x²eˣ dx
I =
6.Hard
xy2.5y = x²eˣ

Evaluate I = ∫₀2.5 x²·eˣ dx.

∫₀2.5 x²eˣ dx
I =

Answer key

  1. 1. I = 7
  2. 2. I = 0.0902
  3. 3. I = 0.7869
  4. 4. I = 0.4024
  5. 5. I = 0.0609
  6. 6. I = 37.59

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