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in Integrals calculus by (190 points)
edited by

\(\)Q. Evaluate the value of \(\phi'(\frac{3\pi}{4})\). If \(\phi = \int_{2\pi-\theta}^\pi(\sin\frac{t}{2})^{({\frac{1}{60}}\sum_{\gamma=1}^{15} \gamma)}dt\) .

(Hint : \(\scriptsize{\cos^2\tiny\theta =\frac{1+cos(2\theta)}{2}}, \scriptsize{\sin^2\tiny\theta =\frac{1-cos(2\theta)}{2}} \) )

Also, calculate \([\phi]\), where [m] is less than or equal to an integral values.

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+1 vote
by (1.2k points)
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by (190 points)
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Each step seems fine but had an error in finding the derivative of function ϕ ((sinθ )' = cos θ) thus do correct... Fantastic!!

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