Question

6. integration of Vax + b
$\sqrt{ax + b \: \: }$
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Answer 1

Step-by-step explanation:

We have,

$\int \sqrt{ax + b} \: dx$

$= \int \sqrt{a} \: \sqrt{x + \frac{b}{a} } \: dx$

$= \sqrt{a} . \int \sqrt{x + \frac{b}{a} } \: dx$

Let x + b/a = t² => dx = 2t dt

So,

required integral will be,

(2/3)√(a) • (x + b/a)³ + c