Let `I = int_0^1 (x^3cos3x)/(2+x^2) dx,` then

Let I= underset(0)overset(1)int (x^(3)cos 3x)/(2+x^(2))dx . Then

If I_1=int_0^1(e^x)/(1+x) dx aand I_2=int_0^1 x^2/(e^(x^3)(2-x^3)) dx then I_1/I_2 is

Let I = int_0^1 (sin x)/(sqrtx) dx and J = int_0^1 (cos x)/(sqrtx) dx . Then which of the following is true?

If I_(1) int sin^(-1) ((2x)/(1 +x^(2)) ) dx , I_(2) = int cos^(-1) ((1-x^(2))/(1 +x^(2)) ) dx , I_(3) = int tan^(-1) ((2x)/(1 - x^(2)) ) dx , then I_(1) + I_(2) - I_(3) =

Let I=int_1^2 (dx)/sqrt(2x^3-9x^2+12x+4) then