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Popular >

integral of 2x+3y

Solution

\int 2 x + 3 y d x

Solution

x^{2} + 3 y x + C

Solution steps

\int 2 x + 3 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 2 x d x + \int 3 y d x

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

\int 3 y d x = 3 y x

= x^{2} + 3 y x

Add a constant to the solution

= x^{2} + 3 y x + C

Popular Examples

(2y+2t-3)dt+(8y+2t-1)dy=0,y(-1)=2

(2 y + 2 t - 3) d t + (8 y + 2 t - 1) d y = 0, y (- 1) = 2

derivative of log_{8}((x^38^x/(3x+1)))

\frac{d}{d x} (lo g_{8} (\frac{x ^{3} 8 ^{x}}{3 x + 1}))

((2x+1)^{-1})^'

((2 x + 1)^{- 1})^{^{'}}

derivative of f(x)=2sqrt(x)-1/(2sqrt(x))derivative of

f (x) = 2 x - \frac{1}{2 x}

derivative of 12x^2-7x-4 derivative of

12 x^{2} - 7 x - 4

Frequently Asked Questions (FAQ)

What is the integral of 2x+3y ?
The integral of 2x+3y is x^2+3yx+C