If ∫ dθ/(cos²θ(tan2θ+sec2θ))... | Indefinite Integrals

JEE MAIN 2020

09-01-2020 S2

Question

If $\int \frac{d \theta}{\cos ^2 \theta(\tan 2 \theta+\sec 2 \theta)}=\lambda \tan \theta+2 \log _e|f(\theta)|+C$ where C is a constant of integration, then the ordered pair $(\lambda, f(\theta))$ is equal to

Select the correct option:

$(1,1-\tan \theta)$

$(-1,1+\tan \theta)$

$(-1,1-\tan \theta)$

$(1,1+\tan \theta)$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Easy

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