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Popular >

integral of-(2x)/3+2

Solution

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

Solution

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

Solution steps

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

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

\int 2 d x = 2 x

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

Add a constant to the solution

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

Graph

Popular Examples

limit as x approaches-2+of 2/(x^2-4)

x \to - 2 + lim (\frac{2}{x ^{2} - 4})

x(dy)/(dx)+y=x^4y^3

x \frac{d y}{d x} + y = x^{4} y^{3}

y^{^{'}} + 2 x^{2} = 0

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

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

derivative of (150000/((4x+75)^2))

\frac{d}{d x} (\frac{150000}{( 4 x + 75 ) ^{2}})

Frequently Asked Questions (FAQ)

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