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Popular >

integral of ze^z+e^z

Solution

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

Solution

e^{z} z + C

Solution steps

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

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

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

= e^{z} z - e^{z} + e^{z}

Simplify

= e^{z} z

Add a constant to the solution

= e^{z} z + C

Popular Examples

integral of (t^2-3)/(5t)

\int \frac{t ^{2} - 3}{5 t} d t

integral of ((e^u))/((7-e^u)^2)

\int \frac{( e ^{u} )}{( 7 - e ^{u} ) ^{2}} d u

integral of 3/(100-2x)

\int \frac{3}{100 - 2 x} d x

integral of (x^{1/3})/((x^{4/3)+9)^2}

\int \frac{x ^{\frac{1}{3}}}{( x ^{\frac{4}{3}} + 9 ) ^{2}} d x

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

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

Frequently Asked Questions (FAQ)

What is the integral of ze^z+e^z ?
The integral of ze^z+e^z is e^zz+C