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Integrate $$\frac{2x^3 + 2x}{x}$$ with respect to x

Question

Integrate $$\frac{2x^3 + 2x}{x}$$ with respect to x

Options

A) $$\frac{2x^3}{3}$$ - 2x + k

B) x3 + 2x + k

C) $$\frac{2x^3}{3}$$ + 2x + k

D) x3 - 2x + k

Explanation:

$$\int$$ $$\frac{2x^3 + 2x}{x}$$ = $$\int$$ $$\frac{2x^3}{x}$$ + $$\frac{2x}{x}$$ = $$\int$$ (2x2 + 2) dx
$$\frac{2x^2+1}{2 + 1}$$ + 2x + k
= $$\frac{2x^3}{3}$$+ 2x + k

Discussion (2)

• Chiedu Williams

How did u get that one

• $$\int$$ $$\frac{2x^3 + 2x}{x}$$ = $$\int$$ $$\frac{2x^3}{x}$$ + $$\frac{2x}{x}$$ = $$\int$$ (2x2 + 2) dx
$$\frac{2x^2+1}{2 + 1}$$ + 2x + k
= $$\frac{2x^3}{3}$$+ 2x + k