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−20

Evaluate I = ∫−20 (3x3 + 4x − 2) dx.

f(x) = 3x3 + 4x − 2[−2, 0]
I =
2.Easy
xy01

Evaluate I = ∫01 (2x2 − 4x − 3) dx.

f(x) = 2x2 − 4x − 3[0, 1]
I =
3.Medium
xy14

Evaluate I = ∫14 4/x dx.

f(x) = 4/x[1, 4]
I =
4.Medium
xyπ/3y = x·cos x

Evaluate I = ∫₀π/3 x·cos x dx (x in radians).

∫₀π/3 x·cos x dx
I =
5.Hard
xy3y = x²eˣ

Evaluate I = ∫₀3 x²·eˣ dx.

∫₀3 x²eˣ dx
I =
6.Hard
xy−33

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

y = 9 − x²
A =

Answer key

  1. 1. I = −24
  2. 2. I = −4.333
  3. 3. I = 5.545
  4. 4. I = 0.4069
  5. 5. I = 98.43
  6. 6. A = 36

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