Solveeit Logo

Question

Mathematics Question on Integration by Parts

If dxa2sinx+b2cos2x=112tan1(3tanx)+c,\int\frac{dx}{a^2\sin x+b^2\cos^2x}=\frac{1}{12}\tan^{-1}(3\tan x)+c,then the maximum value of a sinx + bcosx is____

A

√10

B

√20

C

2√10

D

2√5

Answer

2√10

Explanation

Solution

The Correct answer is option is (C) : 2√10