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Popular >

integral of-e^t

Solution

\int - e^{t} d t

Solution

- e^{t} + C

Solution steps

\int - e^{t} d t

Take the constant out:

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

= - \int e^{t} d t

Use the common integral:

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

= - e^{t}

Add a constant to the solution

= - e^{t} + C

Popular Examples

tangent of f(x)=3-6x^2,-57,\at x=3 tangent of

f (x) = 3 - 6 x^{2}, - 57, at x = 3

limit as x approaches 3-of ln(x-3)

x \to 3 - lim (ln (x - 3))

(\partial)/(\partial x)(x+sqrt(x)sqrt(y))

\frac{\partial}{\partial x} (x + x y)

derivative of (2x^{3/2}-x^2+4/x)

\frac{d}{d x} (\frac{2 x ^{\frac{3}{2}} - x ^{2} + 4}{x})

derivative of 1/(x^7+2/(x^3))

\frac{d}{d x} (\frac{1}{x ^{7}} + \frac{2}{x ^{3}})

Frequently Asked Questions (FAQ)

What is the integral of-e^t ?
The integral of-e^t is -e^t+C