" 7."int(0)^((pi)/(4))(sec x)/(1+2sin^(2...

" 7."int_(0)^((pi)/(4))(sec x)/(1+2sin^(2)x)dx=

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int _(0)^((pi)/(4))(sec x dx)/(1+2 sin^(2)x)

int_(0)^((pi)/(2))(sin x cos x)/(1+sin^(4)x)dx

int_(0)^(pi//2)(sin x.cos x)/(1+sin^(4)x)dx=

int_(0)^(pi//2)(sinxcosx)/((1+sin^(4)x))dx

" 0."int_(0)^( pi/4)(dx)/(2+sin^(2)x)=

int_(0)^((pi)/(4))sqrt(1+sin2x)dx

int_(0)^(pi/4) (sec x)/(1+2 sin^(2)x) is equal to

int_(0)^((pi)/(4)) sqrt(1+sin 2x) dx =

int_(0)^(pi//4)[sqrt([1-sin2x)/(1+sin2x)]dx=

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