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Popular >

integral of-2x+3

Solution

\int - 2 x + 3 d x

Solution

- x^{2} + 3 x + C

Solution steps

\int - 2 x + 3 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 2 x d x + \int 3 d x

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

\int 3 d x = 3 x

= - x^{2} + 3 x

Add a constant to the solution

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

Popular Examples

derivative of sqrt(2x+2)

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

integral of x/(e^{-2x)}

\int \frac{x}{e ^{- 2 x}} d x

integral of 1/(u^2+2)

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

integral from 0 to 1 of e^ssin(t-s)

\int_{0}^{1} e^{s} sin (t - s) d s

tangent of f(x)=x^3-9x,\at x=(-3)tangent of

f (x) = x^{3} - 9 x, at x = (- 3)

Frequently Asked Questions (FAQ)

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