If ∫((1-5 cos ²x)/(sin ⁵x cos ²x))dx=f(x)+C, where C is the constant of integration, then f(π6)-f(π4) is equal to

Integral Calculus: JEE Main 2026 Mathematics question

JEE Main 2026 · 28 Jan, Morning shift · Q20

JEE Main 202628 Jan, Morning shiftMathematicsEasyIntegral Calculus369× since 2002

\int\left(\frac{1-5\cos^2x}{\sin^5x\cos^2x}\right)dx=f(x)+C

, where C is the constant of integration, then

f\left(\frac\pi6\right)-f\left(\frac\pi4\right)

is equal to

JEE Main 2026 · 28 Jan, Morning shift · Q20

JEE Main 202628 Jan, Morning shiftMathematicsEasyIntegral Calculus369× since 2002

\int\left(\frac{1-5\cos^2x}{\sin^5x\cos^2x}\right)dx=f(x)+C

, where C is the constant of integration, then

f\left(\frac\pi6\right)-f\left(\frac\pi4\right)

is equal to