What is integral of square root of (1+x^3) dx?

1 Answer | Add Yours

sciencesolve's profile pic

sciencesolve | Teacher | (Level 3) Educator Emeritus

Posted on

You should use the nex formula:

`int sqrt(x^2 + a^2) dx = (1/2)*(x*sqrt (x^2 + a^2) + a^2ln(x+sqrt (x^2 + a^2))).`

Consider `x^3 = (x^(3/2))^2`  and`a = 1`

`int sqrt(x^3 + 1) dx = (1/2)*(x^(3/2)*sqrt (x^3 + 1) + ln(x^(3/2)+sqrt (x^3 + 1))) + c`

The result of integration is `int sqrt(x^3 + 1) dx = (1/2)*(sqrt(x^3)*sqrt (x^3 + 1) + ln(sqrt(x^3)+sqrt (x^3 + 1))) + c`

We’ve answered 318,912 questions. We can answer yours, too.

Ask a question