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Popular >

integral of 1/(e^z)

Solution

\int \frac{1}{e ^{z}} d z

Solution

- \frac{1}{e ^{z}} + C

Solution steps

\int \frac{1}{e ^{z}} d z

Apply u-substitution

: \int \frac{1}{u ^{2}} d u

= \int \frac{1}{u ^{2}} d u

Apply the Power Rule

: - \frac{1}{u}

= - \frac{1}{u}

Substitute back

u = e^{z}

= - \frac{1}{e ^{z}}

Add a constant to the solution

= - \frac{1}{e ^{z}} + C

Popular Examples

limit as T approaches 90 of f(T)

T \to 9 0^{\circ} lim (f (T))

(\partial)/(\partial x)(4/3 pix^3)

\frac{\partial}{\partial x} (\frac{4}{3} π x^{3})

(\partial)/(\partial x)((x^4+3x^2)(1-5x))

\frac{\partial}{\partial x} ((x^{4} + 3 x^{2}) (1 - 5 x))

y^{''}-6y^'+8y=0,y(0)=2,y^'(0)=1

y^{^{''}} - 6 y^{^{'}} + 8 y = 0, y (0) = 2, y^{^{'}} (0) = 1

limit as x approaches-1-of x/(x+1)

x \to - 1 - lim (\frac{x}{x + 1})

Frequently Asked Questions (FAQ)

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