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Popular >

integral of 3e^t

Solution

\int 3 e^{t} d t

Solution

3 e^{t} + C

Solution steps

\int 3 e^{t} d t

Take the constant out:

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

= 3 \cdot \int e^{t} d t

Use the common integral:

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

= 3 e^{t}

Add a constant to the solution

= 3 e^{t} + C

Popular Examples

limit as x approaches-2-of 3/(x+2)

x \to - 2 - lim (\frac{3}{x + 2})

derivative of (1-x/(e^{2x)})

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

integral from 0 to 2pi of 9x^2sin(1/4 x)

\int_{0}^{2 π} 9 x^{2} sin (\frac{1}{4} x) d x

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

\int sin (3) (x) cos (x) d x

limit as x approaches pi of x/(sin(x))

x \to π lim (\frac{x}{sin ( x )})

Frequently Asked Questions (FAQ)

What is the integral of 3e^t ?
The integral of 3e^t is 3e^t+C