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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

tangent of 3x^2+8 tangent of

3 x^{2} + 8

integral of 1/(v^2-v)

\int \frac{1}{v ^{2} - v} d v

f (θ) = 3 sin (θ)

(\partial)/(\partial y)(5xy^2+x^2)

\frac{\partial}{\partial y} (5 x y^{2} + x^{2})

t^2y^{''}+ty^'+64y=0

t^{2} y^{^{''}} + t y^{^{'}} + 64 y = 0

Frequently Asked Questions (FAQ)

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