Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Indefinite Integration

Question:

$\int\frac{d(\cos θ)}{\sqrt{1-\cos^2θ}}$

Options:

$\cos^{-1}θ+c$

$θ+c$

$\sin^{-1}θ+c$

None of these

Correct Answer:

None of these

Explanation:

$\int\frac{d(\cos θ)}{\sqrt{1-\cos^2θ}}=\sin^{-1}(\cos θ)$, [Put cos θ = x and integrate]