Question

cos(x)*(sin(x))^2*d(sin(x)),在0到90的定积分如何计算,

Answer 1

cos(x)*(sin(x))^2*d(sin(x))

=cos(x)^2*(sin(x))^2*d(x)

=1/4*(sin(2x))^2*d(x)

=1/8*(sin(2x))^2*d(2x)

化简到这,自己可以算了吧