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Popular >

integral of ze^y+x^6

Solution

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

Solution

x^{6} y + z e^{y} + C

Solution steps

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

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

\int x^{6} d y = x^{6} y

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

= x^{6} y + z e^{y}

Add a constant to the solution

= x^{6} y + z e^{y} + C

Popular Examples

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\frac{d}{d x} (sin (x) sin (y))

3((dy)/(dx))+12y=4

3 (\frac{d y}{d x}) + 12 y = 4

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\int \frac{sin ^{3} ( x )}{x} d x

(\partial)/(\partial x)(xln(z^4+x^6))

\frac{\partial}{\partial x} (x ln (z^{4} + x^{6}))

derivative of f(x)=3sqrt(x-1)derivative of

f (x) = 3 x - 1

Frequently Asked Questions (FAQ)

What is the integral of ze^y+x^6 ?
The integral of ze^y+x^6 is x^6y+ze^y+C