Question

Find the most general antiderivative or indefinite integral. ∫ 9x √13 dx = ____________.

Answer 1

`(9√(13) )/(2)` [x²] + C

Explanation:

Required:

indefinite integral of ∫ 9x √13 dx

To solve this, follow these steps:

(i) Place the constant values 9 and √13, at the front of the integral

9√13 ∫x dx

(ii) Now find the integral of x with respect to x by applying the power rule

9√13 [
`(x^2)/(2)`] + C

`(9√(13) )/(2)` [x²] + C [Where C is any constant]

Therefore the indefinite integral of the given expression is
`(9√(13) )/(2)` [x²] + C