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Popular >

integral of 4x^2+6

Solution

\int 4 x^{2} + 6 d x

Solution

\frac{4 x ^{3}}{3} + 6 x + C

Solution steps

\int 4 x^{2} + 6 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 4 x^{2} d x + \int 6 d x

\int 4 x^{2} d x = \frac{4 x ^{3}}{3}

\int 6 d x = 6 x

= \frac{4 x ^{3}}{3} + 6 x

Add a constant to the solution

= \frac{4 x ^{3}}{3} + 6 x + C

Popular Examples

integral of 9x-x^3

\int 9 x - x^{3} d x

integral of (20y^3)/(5y^4+1)

\int \frac{20 y ^{3}}{5 y ^{4} + 1} d y

integral of ((4+sqrt(x)+x)/x)

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

integral of (x+25)^{-2}

\int (x + 25)^{- 2} d x

integral of (4x^3-12x)(x^4-6x^2)^{-3}

\int (4 x^{3} - 12 x) (x^{4} - 6 x^{2})^{- 3} d x

Frequently Asked Questions (FAQ)

What is the integral of 4x^2+6 ?
The integral of 4x^2+6 is (4x^3)/3+6x+C