Determine a substitution

MATHEMATICS · Subjective · CBSE · Mathematics · Integrals · Integrals

Problem

Determine a substitution u=  u=\,\,? that will most efficiently evaluate the definite integral ∫0π/2sec⁡2θ tan⁡3θ dθ\displaystyle \int_{0}^{\pi/2} \sec^{2}\theta\,\tan^{3}\theta\,d\theta.

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