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[" 1et f be integrable over "[0,a]" for any real a.If wis define "I_(1)=int^(pi/2)cos theta f(sin theta+cos^(2)theta)d theta" and "],[i_(2)=int_(0)^( pi/2)sin2 theta f(sin theta+cos^(2)theta)d theta," then "(a)I_(1)=l_(2)],[B_(1)=int^(pi/2)(sin x-cos x)/(1+sin x)dx,I_(2)=int^(2 pi)cos^(6)xdx,I_(3)=int^(pi/2)sin^(3)xdx,I_(4)=int ln((1)/(x)-1)dx," then "]

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