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" 9."int(0)^((pi)/(2))(a cos^(2)x+b sin^...

" 9."int_(0)^((pi)/(2))(a cos^(2)x+b sin^(2)x)dx

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int_(0)^((pi)/(2))(1)/(4cos^(2)x+9sin^(2)x)dx=

int_(0)^(pi//2)(1)/(4 cos^(2)x+9sin^(2)x)dx=

If A = int_(0)^((pi)/(2))(sin^(3)x)/(1+cos^(2)s)dx and B=int_(0)^((pi)/(2))(cos^(2)x)/(1+sin^(2)x)dx , then (2A)/(B) is equal to

If A = int_(0)^((pi)/(2))(sin^(3)x)/(1+cos^(2)s)dx and B=int_(0)^((pi)/(2))(cos^(2)x)/(1+sin^(2)x)dx , then (2A)/(B) is equal to

int_(0)^(pi//2)(1)/(4cos^(2)x+9sin^(2)x)dx=

int_(0)^(pi)(x dx)/(4 cos^(2)x+9sin^(2)x)=

int_(0)^(pi)(x dx)/(4 cos^(2)x+9sin^(2)x)=

Evaluate :int_(0)^( pi/2)(a^(2)cos^(2)x+b^(2)sin^(2)x)dx

Evaluate: int_(0)^( pi)(pi-x)/(cos^(2)x+b^(2)sin^(2)x)dx

int_(0)^( pi)(x)/(a^(2)cos^(2)x+b^(2)sin^(2)x)dx