Integral Evaluation of Trigonometric Function (…

Integration by Parts and Fractions

Medium

Integral Evaluation of Trigonometric Function

If $\int {\left( {\frac{{1 - 5{{\cos }^2}x}}{{{{\sin }^5}x{{\cos }^2}x}}} \right)} dx = f\left( x \right) + C$ where C is the constant of integration, then f $\left( {\frac{\pi }{6}} \right)$ – f $\left( {\frac{\pi }{4}} \right)$ is equal to

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