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
xy1y = xe2x​

Evaluate I = ∫₀1 x·e2x dx.

∫₀1 x·e2x dx
I =
2.Easy
xy03

Evaluate I = ∫03 (2x2 − 4x − 4) dx.

f(x) = 2x2 − 4x − 4[0, 3]
I =
3.Medium
xyπ/2y = x·cos x

Evaluate I = ∫₀π/2 x·cos x dx (x in radians).

∫₀π/2 x·cos x dx
I =
4.Medium
xy14y = x ln x

Evaluate I = ∫₁4 x·ln x dx.

∫₁4 x ln x dx
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
xy3y = x²eˣ

Evaluate I = ∫₀3 x²·eˣ dx.

∫₀3 x²eˣ dx
I =

Answer key

  1. 1. I = 2.097
  2. 2. I = −12
  3. 3. I = 0.5708
  4. 4. I = 7.34
  5. 5. A = 36
  6. 6. I = 98.43

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