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Popular >

integral of 5e^z

Solution

\int 5 e^{z} d z

Solution

5 e^{z} + C

Solution steps

\int 5 e^{z} d z

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 5 \cdot \int e^{z} d z

Use the common integral:

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

= 5 e^{z}

Add a constant to the solution

= 5 e^{z} + C

Popular Examples

integral of 5/(e^x)

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

integral of sin(2x)cos(x/3)

\int sin (2 x) cos (\frac{x}{3}) d x

integral of (x^{4/3}-4x^{1/3})

\int (x^{\frac{4}{3}} - 4 x^{\frac{1}{3}}) d x

integral of (3+12z)/(sqrt(2z^2+z+1))

\int \frac{3 + 12 z}{2 z ^{2} + z + 1} d z

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

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

Frequently Asked Questions (FAQ)

What is the integral of 5e^z ?
The integral of 5e^z is 5e^z+C