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Popular Calculus >

integral of 3/4-x/4

Solution

integral

\frac{3}{4} - \frac{x}{4}

Solution

\frac{3}{4} x - \frac{x ^{2}}{8} + C

Solution steps

\int \frac{3}{4} - \frac{x}{4} 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{3}{4} d x - \int \frac{x}{4} d x

\int \frac{3}{4} d x = \frac{3}{4} x

\int \frac{x}{4} d x = \frac{x ^{2}}{8}

= \frac{3}{4} x - \frac{x ^{2}}{8}

Add a constant to the solution

= \frac{3}{4} x - \frac{x ^{2}}{8} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 3/4-x/4 ?
The integral of 3/4-x/4 is 3/4 x-(x^2)/8+C