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Popular >

integral of-x/3+1

Solution

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

Solution

- \frac{x ^{2}}{6} + x + C

Solution steps

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

\int \frac{x}{3} d x = \frac{x ^{2}}{6}

\int 1 d x = x

= - \frac{x ^{2}}{6} + x

Add a constant to the solution

= - \frac{x ^{2}}{6} + x + C

Popular Examples

integral of (4x^2+9x)

\int (4 x^{2} + 9 x) d x

integral of xe^{8-x^2}

\int x e^{8 - x^{2}} d x

integral of 8/x-5/(x^2)+6/(x^3)

\int \frac{8}{x} - \frac{5}{x ^{2}} + \frac{6}{x ^{3}} d x

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

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

integral of (ln^8(z))/z

\int \frac{ln ^{8} ( z )}{z} d z

Frequently Asked Questions (FAQ)

What is the integral of-x/3+1 ?
The integral of-x/3+1 is -(x^2)/6+x+C