1.

The value ofint _(0)^(pi//2) sin ^(8) x dxis

Answer»

`(105pi)/(32(4!))`
` (105pi)/(14(4!))`
` (105)/(16pi(4!))`
None of these

Solution :Let `l=int_(0)^(PI//2) SIN^(8) x dx = (7.5.3.1)/(8.6.4.2.2).(pi)/(2)`[By Walli's FORMULA]
`=(105 pi)/(32(4.3.2.1))=(105 pi)/(32.4!)`


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