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Popular >

integral of (2y+x)

Solution

\int (2 y + x) d x

Solution

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

Solution steps

\int 2 y + 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 x d x + \int 2 y d x

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

\int 2 y d x = 2 y x

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

Add a constant to the solution

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

Graph

Popular Examples

integral of (x^4)/(6-x^5)

\int \frac{x ^{4}}{6 - x ^{5}} d x

integral of-2/5 xe^{-x}

\int - \frac{2}{5} x e^{- x} d x

integral of 1/(x(49+ln^2(x)))

\int \frac{1}{x ( 49 + ln ^{2} ( x ) )} d x

integral of (3+3tan^2(θ))

\int (3 + 3 tan^{2} (θ)) d θ

integral of e^{-x}+e^x

\int e^{- x} + e^{x} d x

Frequently Asked Questions (FAQ)

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