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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Name: ____________________   Date: ____________

1.Easy
xy1.5y = xex​

Evaluate I = ∫₀1.5 x·ex dx.

∫₀1.5 x·ex dx
I =
2.Easy
xy14

Evaluate I = ∫14 (2x2 − 3x − 2) dx.

f(x) = 2x2 − 3x − 2[1, 4]
I =
3.Medium
xy14

Evaluate I = ∫14 5/x dx.

f(x) = 5/x[1, 4]
I =
4.Medium
xy13

Evaluate I = ∫13 1/x dx.

f(x) = 1/x[1, 3]
I =
5.Hard
xy−33

Find the area A of the region between the parabola y = 9 − x² and the x-axis.

y = 9 − x²
A =
6.Hard
xyy = x2​y = 2x

Find the area A of the region enclosed by y = x2 and y = 2x.

y = x2y = 2x
A =

Answer key

  1. 1. I = 3.241
  2. 2. I = 13.5
  3. 3. I = 6.931
  4. 4. I = 1.099
  5. 5. A = 36
  6. 6. A = 1.333

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