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
xy−10

Evaluate I = ∫−10 (−2x2 − x + 7) dx.

f(x) = −2x2 − x + 7[−1, 0]
I =
2.Easy
xy−11

Evaluate I = ∫−11 (−3x3 − x + 2) dx.

f(x) = −3x3 − x + 2[−1, 1]
I =
3.Medium
xy12.5y = x ln x

Evaluate I = ∫₁2.5 x·ln x dx.

∫₁2.5 x ln x dx
I =
4.Medium
xy01

Evaluate I = ∫01 e−0.5x dx.

f(x) = e−0.5x[0, 1]
I =
5.Hard
xy1y = x²eˣ

Evaluate I = ∫₀1 x²·eˣ dx.

∫₀1 x²eˣ dx
I =
6.Hard
xyy = x2​y = x

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

y = x2y = x
A =

Answer key

  1. 1. I = 6.833
  2. 2. I = 4
  3. 3. I = 1.551
  4. 4. I = 0.7869
  5. 5. I = 0.7183
  6. 6. A = 0.1667

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