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Popular Calculus >

integral of-1/7 x+1

Solution

\int - \frac{1}{7} x + 1 d x

Solution

- \frac{x ^{2}}{14} + x + C

Solution steps

\int - \frac{1}{7} x + 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{1}{7} x d x + \int 1 d x

\int \frac{1}{7} x d x = \frac{x ^{2}}{14}

\int 1 d x = x

= - \frac{x ^{2}}{14} + x

Add a constant to the solution

= - \frac{x ^{2}}{14} + x + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of-1/7 x+1 ?
The integral of-1/7 x+1 is -(x^2)/(14)+x+C