Jambmaths question:
Integrate $\frac{2{{x}^{3}}+2x}{x}$ with respect to x
Option A:
$\frac{2{{x}^{3}}}{3}-2x+k$
Option B:
${{x}^{2}}+2x+k$
Option C:
$\frac{2{{x}^{3}}}{3}+2x+k$
Option D:
${{x}^{3}}-2x+k$
Jamb Maths Solution:
$\begin{align} & \int{\frac{2{{x}^{2}}+2x}{x}dx}=\int{\left( \frac{2{{x}^{3}}}{x}+\frac{2x}{x} \right)}dx \\ & \int{\frac{2{{x}^{2}}+2x}{x}dx}=\int{(2{{x}^{2}}+2)dx} \\ & \int{\frac{2{{x}^{2}}+2x}{x}dx}=\frac{2{{x}^{3}}}{3}+2x+k \\\end{align}$
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