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
xy02

Evaluate I = ∫02 (−2x2 − 2x + 5) dx.

f(x) = −2x2 − 2x + 5[0, 2]
I =
2.Easy
xy03

Evaluate I = ∫03 (−4x2 + 8) dx.

f(x) = −4x2 + 8[0, 3]
I =
3.Medium
xyπy = x·cos x

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

∫₀π x·cos x dx
I =
4.Medium
xyπy = x·sin x

Evaluate I = ∫₀π x·sin x dx (x in radians).

∫₀π x·sin x dx
I =
5.Hard
xy−22

Find the area A of the region between the parabola y = 4 − x² and the x-axis.

y = 4 − x²
A =
6.Hard
xy2.5y = x²eˣ

Evaluate I = ∫₀2.5 x²·eˣ dx.

∫₀2.5 x²eˣ dx
I =

Answer key

  1. 1. I = 0.6667
  2. 2. I = −12
  3. 3. I = −2
  4. 4. I = 3.142
  5. 5. A = 10.67
  6. 6. I = 37.59

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