Mathematics, 23.08.2019 11:20 lolgirl9757
(a) use the reduction formula to show that integral from 0 to pi/2 of sin(x)^ndx is (n-1)/n * integral from 0 to pi/2 of sin(x)^(n-2)dx where n> =2 is an integer.
(b)use part (a) to evaluate integral from 0 to pi/2 of sin(x)^3dx and integral from 0 to pi/2 of sin(x)^5dx.
(c) use part (a) to show that, for odd powers of sine, integral from 0 to pi/2 sin(x)^(2n 1)dx is (2*4*6**2n)/[3*5**(2n 1)].
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(a) use the reduction formula to show that integral from 0 to pi/2 of sin(x)^ndx is (n-1)/n * integr...
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