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Popular Calculus >

integral of (5x+4y)

Solution

\int (5 x + 4 y) d x

Solution

4 y x + \frac{5 x ^{2}}{2} + C

Solution steps

\int 5 x + 4 y 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 4 y d x + \int 5 x d x

\int 4 y d x = 4 y x

\int 5 x d x = \frac{5 x ^{2}}{2}

= 4 y x + \frac{5 x ^{2}}{2}

Add a constant to the solution

= 4 y x + \frac{5 x ^{2}}{2} + C

Graph

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(3x+2sqrt(3x))^'

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d/(dθ)(cos(4θ))

Frequently Asked Questions (FAQ)

What is the integral of (5x+4y) ?
The integral of (5x+4y) is 4yx+(5x^2)/2+C