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−21

Evaluate I = ∫−21 (2x2 − 4x + 8) dx.

f(x) = 2x2 − 4x + 8[−2, 1]
I =
2.Easy
xy−21

Evaluate I = ∫−21 (−2x2 + x − 2) dx.

f(x) = −2x2 + x − 2[−2, 1]
I =
3.Medium
xy01

Evaluate I = ∫01 ex dx.

f(x) = ex[0, 1]
I =
4.Medium
xy03

Evaluate I = ∫03 e−0.5x dx.

f(x) = e−0.5x[0, 3]
I =
5.Hard
xy1.5y = x²eˣ

Evaluate I = ∫₀1.5 x²·eˣ dx.

∫₀1.5 x²eˣ dx
I =
6.Hard
xyy = 0.5x2​y = 4x

Find the area A of the region enclosed by y = 0.5x2 and y = 4x.

y = 0.5x2y = 4x
A =

Answer key

  1. 1. I = 36
  2. 2. I = −13.5
  3. 3. I = 1.718
  4. 4. I = 1.554
  5. 5. I = 3.602
  6. 6. A = 42.67

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