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Popular >

integral of 2-3x

Solution

\int 2 - 3 x d x

Solution

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

Solution steps

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

\int 2 d x = 2 x

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

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

Add a constant to the solution

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

Popular Examples

integral of 1/(sqrt(1-t))

\int \frac{1}{1 - t} d t

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

integral of e^{x-2}-e

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

integral of x/((3-x)^7)

\int \frac{x}{( 3 - x ) ^{7}} d x

integral of t^2\sqrt[3]{t^3-1}

Frequently Asked Questions (FAQ)

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