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Popular >

integral of (3x^2+5)

Solution

\int (3 x^{2} + 5) d x

Solution

x^{3} + 5 x + C

Solution steps

\int 3 x^{2} + 5 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 5 d x

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

\int 5 d x = 5 x

= x^{3} + 5 x

Add a constant to the solution

= x^{3} + 5 x + C

Popular Examples

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\int 3 ln (x) + 3 d x

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integral of 4/((4x+2)ln(4x+2))

\int \frac{4}{( 4 x + 2 ) ln ( 4 x + 2 )} d x

Frequently Asked Questions (FAQ)

What is the integral of (3x^2+5) ?
The integral of (3x^2+5) is x^3+5x+C