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Popular >

integral of (5x-2)

Solution

\int (5 x - 2) d x

Solution

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

Solution steps

\int 5 x - 2 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 2 d x

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

\int 2 d x = 2 x

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

Add a constant to the solution

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

Popular Examples

integral of 4x-7

\int 4 x - 7 d x

volumeabout y=0,y=x^2,y^2=x volume about

y = 0, y = x^{2}, y^{2} = x

derivative of x^2arctan(9x)derivative of

x^{2} arctan (9 x)

y^{^{''}} - y = 2

limit as x approaches 15 of sqrt(10)

x \to 15 lim (10)

Frequently Asked Questions (FAQ)

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