<p>Differentiate \(\tan^3 x\) with respect to \(x\) and express the derivative in terms of \(\sec x\) only. Hence, evaluate \(\displaystyle\int\nolimits_{0}^{\frac{\pi}{4}} \sec^4 x \, \mathrm{d}x\).</p>

Differentiate \(\tan^3 x\) with respect to \(x\) and express the derivative in terms of \(\sec x\) only. Hence, evaluate \(\displaystyle\displaystyle \displaystyle\int\nolimits_{0}^{\frac{\pi}{4}} \sec^4 x \, \mathrm{d}x\).

Definite Integrals and Area under graph - Definite Integration as the Reverse of Differentiation

Question 4de13fa4

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