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.

New worksheetPractise online with hints

For teachers: free to print, copy and use in class. Every new worksheet has new values and its own answer key. A link to ExamProblems on your course page is appreciated.

Name: ____________________   Date: ____________

1.Easy
xy2.5y = xex/2​

Evaluate I = ∫₀2.5 x·ex/2 dx.

∫₀2.5 x·ex/2 dx
I =
2.Easy
xy−21

Evaluate I = ∫−21 (4x3 + 4x) dx.

f(x) = 4x3 + 4x[−2, 1]
I =
3.Medium
xy14

Evaluate I = ∫14 4/x dx.

f(x) = 4/x[1, 4]
I =
4.Medium
xy03

Evaluate I = ∫03 e−0.5x dx.

f(x) = e−0.5x[0, 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 = 2x2​y = 3x

Find the area A of the region enclosed by y = 2x2 and y = 3x.

y = 2x2y = 3x
A =

Answer key

  1. 1. I = 7.49
  2. 2. I = −21
  3. 3. I = 5.545
  4. 4. I = 1.554
  5. 5. A = 36
  6. 6. A = 1.125

Full step-by-step solutions: practise this topic on examproblems.com.