. int(0)^( pi/2)sin^(p)xdx=(1)/(2)B((1)/...

. `int_(0)^( pi/2)sin^(p)xdx=(1)/(2)B((1)/(2),(p+1)/(2))`

. int(0)^( pi/2)sin^(p)xdx=(1)/(2)B((1)/(2),(p+1)/(2))
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Prove thatint0^1sin^(-1)xdx=pi/2-1
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STATEMENT 1: int0^pisqrt(1-sin^2x dx)0 STATEMENT 2: int0^picosx dx=0
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The value of int(0)^((pi)/(2))sin^(2)xdx will be: a 1 b)0c )(pi)/(4) d...
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int(-(pi)/(2))^((pi)/(2))(cos xdx)/(1+2[sin^(-1)(sin x)]) is (where [1...
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int (0) ^ ((pi) / (2)) (cos xdx) / (1 + sin ^ (2) x)
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int0 ^(pi/2) log sinx dx = int0 ^(pi/2) log cosx dx = 1/2 (pi) log(1/2...
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int (1) ^ ((pi) / (2)) cos ^ (2) x sin ^ (2) xdx
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Prove the following : 0 lt int(0)^(pi//2)sin^(n+1)xdx lt int(0)^(pi//2...
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