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Popular >

integral of (6x^2+2x)

Solution

\int (6 x^{2} + 2 x) d x

Solution

2 x^{3} + x^{2} + C

Solution steps

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

\int 6 x^{2} d x = 2 x^{3}

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

= 2 x^{3} + x^{2}

Add a constant to the solution

= 2 x^{3} + x^{2} + C

Popular Examples

integral of 2sqrt(x)(1+x^2)

\int 2 x (1 + x^{2}) d x

integral of 2sin((pix)/2)

\int 2 sin (\frac{π x}{2}) d x

integral of (x^4)/8

\int \frac{x ^{4}}{8} d x

integral of sqrt(x^2+2x+4)

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

integral of (3x^2-2xy+2)

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

Frequently Asked Questions (FAQ)

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