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Evaluate : $ \int (ax+b)^3 dx $

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  • $\int $$x^n$ $=$ $\frac{1}{n+1}$ $x^{n+1}$.
$\int (ax+b)^3dx$
On integrating we get,
$\large\frac{1}{a}\bigg[\large\frac{(ax+b)^{3+1}}{3+1}\bigg]$$+c$
$\Rightarrow \large\frac{1}{a}\bigg[\large\frac{(ax+b)^{4}}{4}\bigg]$$+c$
answered Nov 12, 2013 by sreemathi.v
 
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