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Popular >

integral of 3-2x

Solution

\int 3 - 2 x d x

Solution

3 x - x^{2} + C

Solution steps

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

\int 3 d x = 3 x

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

= 3 x - x^{2}

Add a constant to the solution

= 3 x - x^{2} + C

Popular Examples

d/(dθ)(10sin(θ))

\frac{d}{d θ} (10 sin (θ))

derivative of ln((3e^x/(2x^2)))

\frac{d}{d x} (ln (\frac{3 e ^{x}}{2 x ^{2}}))

limit as x approaches infinity of e^{xln(3/5)}

x \to \infty lim (e^{x l n (\frac{3}{5})})

integral of (3+x^2)/(1+x^2)

\int \frac{3 + x ^{2}}{1 + x ^{2}} d x

(\partial)/(\partial y)(sqrt(x+y))

\frac{\partial}{\partial y} (x + y)

Frequently Asked Questions (FAQ)

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