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
xy01

Evaluate I = ∫01 (−2x2 − 5x + 1) dx.

f(x) = −2x2 − 5x + 1[0, 1]
I =
2.Easy
xy2y = xex​

Evaluate I = ∫₀2 x·ex dx.

∫₀2 x·ex dx
I =
3.Medium
xy1y = x·cos x

Evaluate I = ∫₀1 x·cos x dx (x in radians).

∫₀1 x·cos x dx
I =
4.Medium
xy210

Evaluate I = ∫210 2/x dx.

f(x) = 2/x[2, 10]
I =
5.Hard
xy0.5y = x²eˣ

Evaluate I = ∫₀0.5 x²·eˣ dx.

∫₀0.5 x²eˣ dx
I =
6.Hard
xy−22

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

y = 4 − x²
A =

Answer key

  1. 1. I = −2.167
  2. 2. I = 8.389
  3. 3. I = 0.3818
  4. 4. I = 3.219
  5. 5. I = 0.0609
  6. 6. A = 10.67

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