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Popular >

integral of-3x+2

Solution

\int - 3 x + 2 d x

Solution

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

Solution steps

\int - 3 x + 2 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 2 d x

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

\int 2 d x = 2 x

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

Add a constant to the solution

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

Graph

Popular Examples

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integral from 1 to 4 of 24t

\int_{1}^{4} 24 t d t

derivative of (3sqrt(x)+2x^2)

\frac{d}{d x} ((3 x + 2) x^{2})

integral of (sin(x)-3cos(x))

\int (sin (x) - 3 cos (x)) d x

Frequently Asked Questions (FAQ)

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