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Popular >

integral of 3x^2+2/x

Solution

\int 3 x^{2} + \frac{2}{x} d x

Solution

x^{3} + 2 ln ∣ x ∣ + C

Solution steps

\int 3 x^{2} + \frac{2}{x} d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 3 x^{2} d x + \int \frac{2}{x} d x

\int 3 x^{2} d x = x^{3}

\int \frac{2}{x} d x = 2 ln ∣ x ∣

= x^{3} + 2 ln ∣ x ∣

Add a constant to the solution

= x^{3} + 2 ln ∣ x ∣ + C

Graph

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\int (2 x^{2} + 9)^{2} d x

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\int 8 x - 5 3 x d x

Frequently Asked Questions (FAQ)

What is the integral of 3x^2+2/x ?
The integral of 3x^2+2/x is x^3+2ln|x|+C