(ii) Find the value of
Answer:
Correct Answer: 87. (ii)
Solution:
On adding Eqs. (i) and (ii), we get
(ii) Let
Since,
$=2-\frac{x \cos \pi x}{\pi}{ }{0}^{1}-2 \int{0}^{1} 1 \cdot \frac{-\cos \pi x}{\pi} d x$
$-\frac{-x \cos \pi x}{\pi}{ }{1}^{3 / 2}-\int{1}^{3 / 2} \frac{-\cos \pi x}{\pi} d x$
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