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

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### 1 Answer

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` **