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Popular >

integral of 5x-8

Solution

\int 5 x - 8 d x

Solution

\frac{5 x ^{2}}{2} - 8 x + C

Solution steps

\int 5 x - 8 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 x d x - \int 8 d x

\int 5 x d x = \frac{5 x ^{2}}{2}

\int 8 d x = 8 x

= \frac{5 x ^{2}}{2} - 8 x

Add a constant to the solution

= \frac{5 x ^{2}}{2} - 8 x + C

Graph

Popular Examples

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\int \frac{1}{( 4 + 25 x ^{2} )} d x

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\int sin (\frac{2 t}{7}) d t

integral of x/(sqrt(16x^2-1))

\int \frac{x}{16 x ^{2} - 1} d x

integral of (sqrt(x^5))/(x^3)-e^x-cos(3)

\int \frac{x ^{5}}{x ^{3}} - e^{x} - cos (3) d x

integral of (3/2 x^7+12x^5-4x^3-55)

\int (\frac{3}{2} x^{7} + 12 x^{5} - 4 x^{3} - 55) d x

Frequently Asked Questions (FAQ)

What is the integral of 5x-8 ?
The integral of 5x-8 is (5x^2)/2-8x+C