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Popular Calculus >

integral of (6+2x)

Solution

\int (6 + 2 x) d x

Solution

6 x + x^{2} + C

Solution steps

\int 6 + 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 d x + \int 2 x d x

\int 6 d x = 6 x

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

= 6 x + x^{2}

Add a constant to the solution

= 6 x + x^{2} + C

Graph

Popular Examples

integral of 6xcos(3)x^2

\int 6 x cos (3) x^{2} d x

integral of-1/a cos(ax)

\int - \frac{1}{a} cos (a x) d x

integral of x^3(3x^4+2)^9

\int x^{3} (3 x^{4} + 2)^{9} d x

integral of x^2-3x^3-10x-1

\int x^{2} - 3 x^{3} - 10 x - 1 d x

integral of 5sin(x^2)

\int 5 sin (x^{2}) d x

Frequently Asked Questions (FAQ)

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