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Popular >

integral of 2x+y

Solution

\int 2 x + y d x

Solution

y x + x^{2} + C

Solution steps

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

\int y d x = y x

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

= y x + x^{2}

Add a constant to the solution

= y x + x^{2} + C

Popular Examples

y^{^{'}} = t y e^{- t}

integral of 1/(2x+9)

\int \frac{1}{2 x + 9} d x

derivative of 2ln(x+2)

\frac{d}{d x} (2 ln (x) + 2)

y^'=(1+x)/(xy^{12)}

y^{^{'}} = \frac{1 + x}{x y ^{12}}

sum from n=1 to infinity of 3/(nsqrt(n))

n = 1 \sum \infty \frac{3}{n n}

Frequently Asked Questions (FAQ)

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