Home
Class 12
MATHS
int sqrt(a^((1)/(3))+x^((1)/(3)))dx...

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

Text Solution

Verified by Experts

The correct Answer is:
`6a^((7)/(6))[(1)/(7)sec^(7)theta-(2)/(5)sec^(5)+(1)/(3)sec^(3)theta]+c`, where `tan theta=((x)/(a))^((1)/(6))`
Promotional Banner

Similar Questions

Explore conceptually related problems

int sqrt((2x+1)/(3x+2))dx

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

int sqrt(x(x^(3)+a^(3)))dx

int sqrt(x^(2)+x+1)dx

int x sqrt(x^(2)+1)dx

int (sqrt(x)dx)/(x-1)

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

The value of int_(1)^(3)(sqrt(1+(x-1)^(3))+(x^(2)-1)^(1/3)+1)dx is __________.

int sqrt(x)(1+x^(1//3))^(4)dx " is equal to "

int_(0)^((1)/(2))(dx)/(sqrt(3-2x))