If , then is equal…

MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals

Problem

If ∫f(x)sin⁡xcos⁡x dx=12(b2−a2)ln⁡f(x)+c\int f(x)\sin x\cos x\,dx=\frac{1}{2(b^2-a^2)}\ln f(x)+c, then f(x)f(x) is equal to (a) 1a2sin⁡2x+b2cos⁡2x\frac{1}{a^2\sin^2 x+b^2\cos^2 x} (b) 1a2sin⁡2x−b2cos⁡2x\frac{1}{a^2\sin^2 x-b^2\cos^2 x} (c) 1a2cos⁡2x+b2sin⁡2x\frac{1}{a^2\cos^2 x+b^2\sin^2 x} (d) 1a2cos⁡2x−b2sin⁡2x\frac{1}{a^2\cos^2 x-b^2\sin^2 x}

Related theory

Browse the problem library