Definite Integration JEE Main | Trigonometric Integral

JEE MAIN 2025

29-01-2025 SHIFT-1

Question

The integral $80\int_0^{\frac{\pi }{4}} {\left( {\frac{{\sin \theta + \cos \theta }}{{9 + 16\sin 2\theta }}} \right)} d\theta $ is equal to :

Select the correct option:

$2{\log _e}3$

$3{\log _{\rm{e}}}4$

$6{\log _{\rm{e}}}4$

$4{\log _{\rm{e}}}3$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Easy

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