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Popular >

integral of 12x^2+2x

Solution

\int 12 x^{2} + 2 x d x

Solution

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

Solution steps

\int 12 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 12 x^{2} d x + \int 2 x d x

\int 12 x^{2} d x = 4 x^{3}

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

= 4 x^{3} + x^{2}

Add a constant to the solution

= 4 x^{3} + x^{2} + C

Popular Examples

integral of 3/2 sqrt(x)-1/x+sin(x)-4x^3

\int \frac{3}{2} x - \frac{1}{x} + sin (x) - 4 x^{3} d x

integral of arctan(sqrt(3x-1))

\int arctan (3 x - 1) d x

integral of 1/((sqrt(9-x^2)))

\int \frac{1}{( 9 - x ^{2} )} d x

integral of (-sec^2(x))/(tan^7(x))

\int \frac{- sec ^{2} ( x )}{tan ^{7} ( x )} d x

integral of sin(x+pi/2)

\int sin (x + \frac{π}{2}) d x

Frequently Asked Questions (FAQ)

What is the integral of 12x^2+2x ?
The integral of 12x^2+2x is 4x^3+x^2+C