Home
Class 12
MATHS
Evaluate: int(1/((x+1)^(1/3)+sqrt(x+1)))...

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

Text Solution

Verified by Experts

`I=\int(\frac{1}{((x+1)^{\frac{1}{3}} \sqrt{x+1}.}) d x `
`l c t(x+1)=l^{b} \Rightarrow d x=6 l^{5} d l `
`I=\int \frac{1}{(l^{b})^{\times \frac{1}{3}}+(l)^{b+\frac{1}{2}}} 6 l^{5} d l `
`I=\int \frac{6 l^{5} d l}{l^{2}+l^{3}}=6 \int \frac{l^{3}}{1+l} d l=6 \int \frac{l^{3}+1-1}{l+1} d l `
...
Promotional Banner

Topper's Solved these Questions

  • INCREASING AND DECREASING FUNCTION

    RD SHARMA|Exercise Solved Examples And Exercises|232 Videos

  • INVERSE TRIGONOMETRIC FUNCTION

    RD SHARMA|Exercise Solved Examples And Exercises|523 Videos

Similar Questions

Explore conceptually related problems

Evaluate: int1/(x^(3)sqrt(x^2-1))\ dx

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

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

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

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

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

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

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

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

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