Evaluate : `(i) int_(0)^(4)(dx)/(sqrt(x^(2)+2x+3))` `(ii) (dx)/((1+x+x^(2)))`A. `log ((1+sqrt(3))/(5+ 3sqrt(3)))`B. `log ((5+ 3sqrt(3))/(1+sqrt(3)))`C. `log ((1+sqrt(3))/(5+ sqrt(3)))`D. `log ((5+ sqrt(3))/(1+sqrt(3)))`

Evaluate : `(i) int_(0)^(4)(dx)/(sqrt(x^(2)+2x+3))` `(ii) (dx)/((1+x+x

1.	Evaluate : `(i) int_(0)^(4)(dx)/(sqrt(x^(2)+2x+3))` `(ii) (dx)/((1+x+x^(2)))`A. `log ((1+sqrt(3))/(5+ 3sqrt(3)))`B. `log ((5+ 3sqrt(3))/(1+sqrt(3)))`C. `log ((1+sqrt(3))/(5+ sqrt(3)))`D. `log ((5+ sqrt(3))/(1+sqrt(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`