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Popular Calculus >

integral of 1+9/4 x

Solution

\int 1 + \frac{9}{4} x d x

Solution

x + \frac{9 x ^{2}}{8} + C

Solution steps

\int 1 + \frac{9}{4} x 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 1 d x + \int \frac{9}{4} x d x

\int 1 d x = x

\int \frac{9}{4} x d x = \frac{9 x ^{2}}{8}

= x + \frac{9 x ^{2}}{8}

Add a constant to the solution

= x + \frac{9 x ^{2}}{8} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 1+9/4 x ?
The integral of 1+9/4 x is x+(9x^2)/8+C