Question

If \[ \int \frac{\sin^3x+\cos^3x}{\sin^2x\cos^2x}\,dx = A\sec x+B\cosec x+c, \] then \((A,B)\) are

• A. \((1,1)\)
• B. \((-1,-1)\)
• C. \((1,-1)\)
• D. \((-1,1)\)

Hint:

Try to convert integrands into known derivative forms like \(\sec x\tan x\) and \(\cosec x\cot x\).

Answer 1

The Correct Option is C