What is the integral of-x^2+ye^{yz} ?

The integral of-x^2+ye^{yz} is -x^2z+e^{yz}+C

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integral of-x^2+ye^{yz}

\int - x^{2} + y e^{yz} d z

- x^{2} z + e^{yz} + C

Solution steps

\int - x^{2} + y e^{yz} d z

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^{2} d z + \int y e^{yz} d z

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

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

= - x^{2} z + e^{yz}

Add a constant to the solution

= - x^{2} z + e^{yz} + C

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What is the integral of-x^2+ye^{yz} ?
The integral of-x^2+ye^{yz} is -x^2z+e^{yz}+C