Home
Class 12
MATHS
I=int(e^(x))/(e^(4x)+e^(2x)+1)dx,J=int(e...

I=int(e^(x))/(e^(4x)+e^(2x)+1)dx,J=int(e^(-x))/(10^(-4x)+e^(-2x)+1)dx=pi

Promotional Banner

Similar Questions

Explore conceptually related problems

Let I =int(e^(x))/(e^(4x)+e^(2x)+1)dx , J = int(e^(-x))/(e^(-4x)+e^(-2x)+1)dx . Then for an arbitary constant C, the value of I - J equals

Let I = int (e^x)/(e^(4x)+e^(2x)+1)dx, J=int (e^(-x))/(e^(-4x)+e^(-2x)+1)dx . Then , for an arbitrary constant c, the value of J-1 euqals :

If I=int(e^(x))/(e^(4x)+e^(2e)+1)dx.J=int(e^(-x))/(e^(-4x)+e^(-2x)+1)dx Then for an arbitrary constant c, the value of J-I equal to

If I=int(e^x)/(e^(4x)+e^(2x)+1) dx. J=int(e^(-x))/(e^(-4x)+e^(-2x)+1) dx. Then for an arbitrary constant c, the value of J-I equal to

If I=int(e^x)/(e^(4x)+e^(2x)+1) dx. J=int(e^(-x))/(e^(-4x)+e^(-2x)+1) dx. Then for an arbitrary constant c, the value of J-I equal to

If I=int(e^x)/(e^(4x)+e^(2x)+1) dx. J=int(e^(-x))/(e^(-4x)+e^(-2x)+1) dx. Then for an arbitrary constant c, the value of J-I equal to

If I=int(e^x)/(e^(4x)+e^(2e)+1) dx. J=int(e^(-x))/(e^(-4x)+e^(-2x)+1) dx. Then for an arbitrary constant c, the value of J-I equal to

Statement -1 : If I_(1)=int(e^(x))/(e^(4x)+e^(2x)+1)dx and I_(2)=int(e^(-x))/(e^(-4x)+e^(-2x)+1)dx , then I_(2)-I_(1)=(1)/(2)log((e^(2x)-e^(x)+1)/(e^(2x)+e^(x)+1))+C where C is an arbitrary constant. Statement -2 : A primitive of f(x) =(x^(2)-1)/(x^(4)+x^(2)+1) is (1)/(2)log((x^(2)-x+1)/(x^(2)+x+1)) .

Statement -1 : If I_(1)=int(e^(x))/(e^(4x)+e^(2x)+1)dx and I_(2)=int(e^(-x))/(e^(-4x)+e^(-2x)+1)dx , then I_(2)-I_(1)=(1)/(2)log((e^(2x)-e^(x)+1)/(e^(2x)+e^(x)+1))+C where C is an arbitrary constant. Statement -2 : A primitive of f(x) =(x^(2)-1)/(x^(4)+x^(2)+1) is (1)/(2)log((x^(2)-x+1)/(x^(2)+x+1)) .