Home
Class 12
MATHS
If int (cos x-sin x + 1-x)/(e^(x)+sin x+...

If `int (cos x-sin x + 1-x)/(e^(x)+sin x+x)dx=ln{f(x)}+g(x)+C`, where C is the constant of integrating and `f(x)` is positive, then `(f(x)+g(x))/(e^(x)+sin x)` is equal to .......... .

Text Solution

Verified by Experts

The correct Answer is:
1
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|15 Videos
  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos
  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|11 Videos
  • HYPERBOLA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|17 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos

Similar Questions

Explore conceptually related problems

If int(x(sin x-cos x)-sin x)/(e^(x)+(sin x)x)dx=-ln(f(x))+g(x)+C where C is the constant of integration and f(x) is positive then f(x)+g(x) has the value equal to

int(cosx-sinx+1-x)/(e^(x)+sinx+x)dx=log_(e)(f(x))+g(x)+C where C is the constant of integration and f(x) is positive. Then f(x)+g(x) has the value equal to

If intxe^(2x)dx is equal to e^(2x)f(x)+c , where c is constant of integration, then f(x) is

What is int ((1)/(cos^(2)x) - (1)/(sin^(x)x))dx equal to ? where c is the constant of integration

int5^(x)((1+sin x*cos x*ln5)/(cos^(2)x))dx= ( where c is the constant of integration)

If int e^(2x)(cos x+7sin x)dx=e^(2x)g(x)+c where c is constant of integration then g(0)+g((pi)/(2))=

If int e^(x)((3-x^(2))/(1-2x+x^(2)))dx=e^(x)f(x)+c , (where c is constant of integration) then f(x) is equal to

If int x^(5)e^(-x^(2))dx = g(x)e^(-x^(2))+C , where C is a constant of integration, then g(-1) is equal to

If the integral I=inte^(x^(2))x^(3)dx=e^(x^(2))f(x)+c , where c is the constant of integration and f(1)=0 , then the value of f(2) is equal to

if int x^(5)e^(-x^(2))dx=g(x)e^(-x^(2))+c where c is a constant of integration then g(-1) is equal to