Exercises for Question Type 1: Evaluating definite integrals analytically - IB | RevisionDojo

IB
Question Type 1: Evaluating definite integrals analytically

Question Type 1: Evaluating definite integrals analytically Exercises

Question 1

Skill question

Evaluate the definite integral

\int_0^1 3x^2 \, dx

Question 2

Skill question

Evaluate the integral

\int_1^e \frac{1}{x} \, dx

Question 3

Skill question

Compute

\int_1^e \frac{1}{x} \, dx

Question 4

Skill question

Find the value of

\int_0^{\frac{\pi}{2}} \sin(x) \, dx

Question 5

Skill question

Evaluate

\int_1^2 \frac{1}{x^2} \, dx

Question 6

Skill question

Compute

\int_0^1 2x(1+x^2)^3 \, dx

Question 7

Skill question

Evaluate

\int_0^1 x e^{x^2} \, dx

Question 8

Skill question

Compute

\int_0^{\frac{\pi}{2}} \cos^2(x) \, dx

Question 9

Skill question

Compute

\int_0^1 \ln(1+x) \, dx

Question 10

Skill question

Find

\int_0^1 \ln(1+x) \, dx

Question 11

Skill question

Compute

\int_0^3 x\sqrt{9 - x^2} \, dx

Question 12

Skill question

Evaluate

\int_0^{(\tfrac{\pi}{2})^{1/3}} 9x^2 \cos(x^3) \, dx