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Popular >

integral of 5-2x

Solution

\int 5 - 2 x d x

Solution

5 x - x^{2} + C

Solution steps

\int 5 - 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 5 d x - \int 2 x d x

\int 5 d x = 5 x

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

= 5 x - x^{2}

Add a constant to the solution

= 5 x - x^{2} + C

Popular Examples

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\int (2 x + 3)^{11} d x

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\int tan^{3} (\frac{x}{2}) d x

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\int \frac{9 x ^{3} - 4 x + 2}{x ^{3} - x ^{2}} d x

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\int x^{2} (6 x^{3} - 7)^{2} d x

integral of (t^2-3t)/(sqrt(t))

\int \frac{t ^{2} - 3 t}{t} d t

Frequently Asked Questions (FAQ)

What is the integral of 5-2x ?
The integral of 5-2x is 5x-x^2+C