defence exam Agniveer Vayu Group X & XY Mock Test 01/2026 Mathematics Integral Calculus Indefinite Integrals
If \(\int \frac{1}{a^{2} \sin ^{2} x+b^{2} \cos ^{2} x} d x=\frac{1}{18} \tan ^{-1}(2 \tan x)+C\), then the maximum value of a sinx + b cosx is
1
3√5
2
2√10
3
- 2√10
4
- 2√5