Home
Class 12
MATHS
The value of int e^((x sin x+ cos x))...

The value of
`int e^((x sin x+ cos x)).((x^(4)cos^(3)x-x sin x + cos x)/(x^(2)cos^(2) x)) dx`, is equal to

Text Solution

Verified by Experts

The correct Answer is:
`e^((x sin x + cos x))*[(x-(1)/(x cos x))]+C`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • INDEFINITE INTEGRAL

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

  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|9 Videos

  • HYPERBOLA

    ARIHANT MATHS|Exercise Hyperbola Exercise 11 : Questions Asked in Previous 13 Years Exams|3 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

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

Similar Questions

Explore conceptually related problems

int e ^(xsin x +cos x )((x ^(4) cos ^(3) x-x sin x +cos x)/(x ^(2) cos ^(2) x )) dx =

int (sin^2 x - cos^2 x)/(sin^2 x cos^2 x) dx is equal to :

Knowledge Check

  • int (cos 2x)/((sin x + cos x)^(2))dx is equal to

    A
    `(-1)/(sin x + cos x) + C`
    B
    `log|sin x + cos x| + C`
    C
    `log |sin x - cos x| + C`
    D
    `(1)/((sin x + cos x)^(2))`

  • int(sin^(2)x-cos^(2)x)/(sin^(2)xcos^(2)x)dx is equal to

    A
    `tanx+cotx+C`
    B
    `tanx+cosecx+C`
    C
    `-tanx+cotx+C`
    D
    `tanx+secx+C`

  • int(sin^(2)x-cos^(2)x)/(sin^(2)xcos^(2)x)dx is equal to

    A
    `tanx+cotx+C`
    B
    `tanx+"cosec"x+C`
    C
    `-tanx+cotx+C`
    D
    `tanx+secx+C`

    • Similar Questions

    Explore conceptually related problems

    int(dx)/( sin^(2)x cos^(2)x) is equal to

    int (cos 2x)/(sin^(2) x cos^(2)x) dx = ?

    int (sin^2x-cos^2x)/(sin^2xcos^2x)dx is equal to

    int (sin^(2)x-cos^(2)x)/(sin^(2)x cos^(2)x)dx is equal to

    int (sin^(2)x-cos^(2)x)/(sin^(2)x cos^(2)x)dx is equal to

    Home
    Profile