Home
Class 12
MATHS
Evaluate int(dx)/(x+sqrt(x))...

Evaluate ` int(dx)/(x+sqrt(x))`

Text Solution

Verified by Experts

The correct Answer is:
`2log(sqrt(x)+1)+C`
` I=int(dx)/(x+sqrt(x))=int(dx)/(sqrt(x)(sqrt(x)+1)). `
` " Put " sqrtx=z `
` :. (1)/(2sqrt(x))dx=dz `
` :. I=int(2dz)/(z+1)`
`=2log|z+1|+C`
` =2log(sqrt(x)+1)+C`
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRATION

    CENGAGE PUBLICATION|Exercise CONCEPT APPLICATION EXERCISE 7.5|9 Videos

  • INDEFINITE INTEGRATION

    CENGAGE PUBLICATION|Exercise CONCEPT APPLICATION EXERCISE 7.6|6 Videos

  • INDEFINITE INTEGRATION

    CENGAGE PUBLICATION|Exercise CONCEPT APPLICATION EXERCISE 7.3|16 Videos

  • HYPERBOLA

    CENGAGE PUBLICATION|Exercise COMPREHENSION TYPE|2 Videos

  • INEQUALITIES AND MODULUS

    CENGAGE PUBLICATION|Exercise Single correct Answer|21 Videos

Similar Questions

Explore conceptually related problems

Evaluate : int(x)/(sqrt(x)+1)dx

Evaluate : int (dx)/(sqrt(2x^(2)+3x+4)

Evaluate: int(dx)/(sqrt(x)-sqrt(x-3))

Evaluate: int(dx)/(sqrt(x)+sqrt(x-2))

Evaluate int(x dx)/(x^(3)sqrt(x^(2)-1)).

Evaluate: int(dx)/((x-p)sqrt((x-p)(x-q)))

Evaluate: int(dx)/(x^3sqrt(x^2-1))

Evaluate : int (x dx)/(sqrt(3x^(2)+1))

Evaluate int(dx)/(x^(2)sqrt(1+x^(2))) .

Evaluate: int(dx)/((x^2+4)sqrt(x^2-4))