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Popular >

integral of 4x+6

Solution

\int 4 x + 6 d x

Solution

2 x^{2} + 6 x + C

Solution steps

\int 4 x + 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 d x + \int 6 d x

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

\int 6 d x = 6 x

= 2 x^{2} + 6 x

Add a constant to the solution

= 2 x^{2} + 6 x + C

Popular Examples

integral of 5/(xsqrt(1-25ln^2(x)))

\int \frac{5}{x 1 - 25 ln ^{2} ( x )} d x

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

\int \frac{1}{2 x + x ^{2}} d x

integral of 2/(x^3+1)

\int \frac{2}{x ^{3} + 1} d x

integral of e^{3x}x+e^x

\int e^{3 x} x + e^{x} d x

integral of x/(27x^2-1)

\int \frac{x}{27 x ^{2} - 1} d x

Frequently Asked Questions (FAQ)

What is the integral of 4x+6 ?
The integral of 4x+6 is 2x^2+6x+C