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Popular >

integral of (e^y+6x)

Solution

\int (e^{y} + 6 x) d x

Solution

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

Solution steps

\int e^{y} + 6 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 e^{y} d x + \int 6 x d x

\int e^{y} d x = e^{y} x

\int 6 x d x = 3 x^{2}

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

Add a constant to the solution

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

Popular Examples

integral of 3/(xsqrt(x))

\int \frac{3}{x x} d x

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

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

integral of (3x-1)/(4x^2-4x+12)

\int \frac{3 x - 1}{4 x ^{2} - 4 x + 12} d x

integral of 5/(x^8)

\int \frac{5}{x ^{8}} d x

integral of xe^{-x}-x^2e^{-x}

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

Frequently Asked Questions (FAQ)

What is the integral of (e^y+6x) ?
The integral of (e^y+6x) is e^yx+3x^2+C