Bootcamp for Question Type 2: Trigonometric substitution in integrals - IB | RevisionDojo

IB
Question Type 2: Trigonometric substitution in integrals

Question Type 2: Trigonometric substitution in integrals Bootcamps

Question 1

Skill question

Evaluate

\int \frac{x}{\sqrt{4 - x^2}}\,dx

Question 2

Skill question

Evaluate

\int \sqrt{4 - x^2}\,dx

Question 3

Skill question

Find

\int \frac{x^2}{\sqrt{4 - x^2}}\,dx

Question 4

Skill question

Compute

\int \frac{x^3}{\sqrt{4 - x^2}}\,dx

Question 5

Skill question

Find

\int \sqrt{x^2 + 9}\,dx

Question 6

Skill question

Compute

\int \sqrt{x^2 - 9}\,dx

Question 7

Skill question

Evaluate

\int \frac{x^2}{\sqrt{x^2 - 9}}\,dx

Question 8

Skill question

Find

\int \frac{dx}{x\sqrt{x^2 + 4}}

Question 9

Skill question

Compute

\int \frac{x^3}{(x^2 + 4)^{\frac32}}\,dx