Evaluate:`int_(pi//4)^(pi//4)(x+pi//4)/(2-cos2x)dx`A. `pi^(2)/(3sqrt(3))`B. `pi^(2)/(6sqrt(3))`C. `pi/(3sqrt(3))`D. `pi/(6sqrt(3))`

Evaluate:`int_(pi//4)^(pi//4)(x+pi//4)/(2-cos2x)dx`A. `pi^(2)/(3sqrt(3

1.	Evaluate:`int_(pi//4)^(pi//4)(x+pi//4)/(2-cos2x)dx`A. `pi^(2)/(3sqrt(3))`B. `pi^(2)/(6sqrt(3))`C. `pi/(3sqrt(3))`D. `pi/(6sqrt(3))`
Answer» Correct Answer - B

`int_(0)^((pi)/(4))(dx)/(acos^(2)x+bsin^(2)x)=`A. `(1)/(ab)tan^(-1)((b)/(a))" if "agt0,bgt0`B. `(1)/(ab)tan^(-1)((b)/(a))" if "alt0,blt0`C. `(pi)/(4)" if "a=1, b=1`D. none of these
The value of `int_(0)^((pi)/(4))tan^(2)thetad theta` is-A. `(pi)/(4)-1`B. `1-(pi)/(4)`C. `(pi)/(2)-1`D. `pi-2`
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If `int_0^a3x^2dx=8,`find the value of `adot`
The integral `int_0^pisqrt(1+4sin^2x/2-4sinx/2dx)`equal(1) `pi-4`(2) `(2pi)/3-4-4sqrt(3)`(3) `4""sqrt(3)-4`(4) `4""sqrt(3)-4-pi/3`A. `pi-4`B. `4sqrt(3)-4`C. `(2pi)/3 -4-4sqrt(3)`D. `4sqrt(3) - 4 - pi/3`
Evaluate :`int_0^(pi/2)(dx)/(1+sqrt(tanx))`A. `(3pi)/2`B. `(3pi)/4`C. `pi/2`D. `pi/4`
`int_0^(pi//2)(theta/sintheta)^2d theta=`A. `pi/(log2)`B. `log 2`C. `pi log 2`D. `pi`