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Popular >

integral of (z+1)e^z

Solution

\int (z + 1) e^{z} d z

Solution

e^{z} z + C

Solution steps

\int (z + 1) e^{z} d z

Apply Integration By Parts

: e^{z} (z + 1) - \int e^{z} d z

= e^{z} (z + 1) - \int e^{z} d z

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

= e^{z} (z + 1) - e^{z}

Simplify

e^{z} (z + 1) - e^{z} : e^{z} z

= e^{z} z

Add a constant to the solution

= e^{z} z + C

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(\partial)/(\partial x)(x^3+2y^2+8x+5y+5xy)

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Frequently Asked Questions (FAQ)

What is the integral of (z+1)e^z ?
The integral of (z+1)e^z is e^zz+C