If \(f(x)=sin 5 x + sin 3 x\) and \(g(x)=cos 6 x + sin 3 x\) , then the value of \( ∈t 0 π/2 [f(x) + f(-x)] [g(x) + g(-x)]dx\) is

If <span class=

\(f(x)=sin 5 x + sin 3 x\) and \(f(x)=sin... - Solved | MCA Prep" /> \(f(x)=sin 5 x + sin 3 x\) and \(f(x)=sin... - Solved | MCA Prep" /> \(f(x)=sin 5 x + sin 3 x\) and

MCAPREP

Question 38

Mathematics Definite Integrals Hard

If \(f(x)=\sin^5 x + \sin^3 x\) and \(g(x)=\cos^6 x + \sin^3 x\), then the value of \(\displaystyle\int_0^{\pi/2} [f(x) + f(-x)] [g(x) + g(-x)]dx\) is

(A) 0

(B) > 1

(C) 0 and 1

(D) less than 0

View Dynamic Solution & Explanation ▼

Correct Solution: Option A

Step-by-step Solution:

No explanation entered yet.

← Previous Question Our Rankers Next Question →