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/2​

Evaluate I = ∫₀0.5 x·ex/2 dx.

∫₀0.5 x·ex/2 dx
I =
2.Easy
xy13

Evaluate I = ∫13 (−x2 − 5x + 4) dx.

f(x) = −x2 − 5x + 4[1, 3]
I =
3.Medium
xy01

Evaluate I = ∫01 e0.5x dx.

f(x) = e0.5x[0, 1]
I =
4.Medium
xy12y = x ln x

Evaluate I = ∫₁2 x·ln x dx.

∫₁2 x ln x dx
I =
5.Hard
xy1y = x²eˣ

Evaluate I = ∫₀1 x²·eˣ dx.

∫₀1 x²eˣ dx
I =
6.Hard
xy1.5y = x²eˣ

Evaluate I = ∫₀1.5 x²·eˣ dx.

∫₀1.5 x²eˣ dx
I =

Answer key

  1. 1. I = 0.1479
  2. 2. I = −20.67
  3. 3. I = 1.297
  4. 4. I = 0.6363
  5. 5. I = 0.7183
  6. 6. I = 3.602

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