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Popular Calculus >

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

Graph

Popular Examples

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

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

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

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

integral of sh(x)

\int s h (x) d x

Frequently Asked Questions (FAQ)

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