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Popular >

integral of-3x+6

Solution

\int - 3 x + 6 d x

Solution

- \frac{3 x ^{2}}{2} + 6 x + C

Solution steps

\int - 3 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 3 x d x + \int 6 d x

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

\int 6 d x = 6 x

= - \frac{3 x ^{2}}{2} + 6 x

Add a constant to the solution

= - \frac{3 x ^{2}}{2} + 6 x + C

Popular Examples

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

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

integral of x^9(5+x^5)^{99}

\int x^{9} (5 + x^{5})^{99} d x

integral of sin(4x)cos(2x)cos(3x)

\int sin (4 x) cos (2 x) cos (3 x) d x

integral of xsqrt(6x^2+1)

\int x 6 x^{2} + 1 d x

integral of e^{-x/9}

\int e^{- \frac{x}{9}} d x

Frequently Asked Questions (FAQ)

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