# How do I evaluate the indefinite integral #intsin(x)/(cos^3(x))dx# ?

Justification

Trigonometric Substitution is used in

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To evaluate the indefinite integral ∫sin(x)/(cos^3(x)) dx, you can use the substitution method. Let u = cos(x), then du = -sin(x) dx. Substituting these into the integral, it becomes ∫-du/u^3. Integrating this gives 1/(2u^2) + C. Finally, substituting back u = cos(x) yields the result of 1/(2cos^2(x)) + C.

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