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Popular >

integral of 2e^t

Solution

\int 2 e^{t} d t

Solution

2 e^{t} + C

Solution steps

\int 2 e^{t} d t

Take the constant out:

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

= 2 \cdot \int e^{t} d t

Use the common integral:

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

= 2 e^{t}

Add a constant to the solution

= 2 e^{t} + C

Popular Examples

area 7cos(9x),7-7cos(9x),0, pi/9 area

7 cos (9 x), 7 - 7 cos (9 x), 0, \frac{π}{9}

x y^{^{'}} + 2 y = x^{2}

integral from 0 to 1 of 9/(sqrt(x)(1+x))

\int_{0}^{1} \frac{9}{x ( 1 + x )} d x

(dy)/(dx)= x/y ,y(0)=-5

\frac{d y}{d x} = \frac{x}{y}, y (0) = - 5

derivative of ln(1/(2x))

\frac{d}{d x} (ln (\frac{1}{2 x}))

Frequently Asked Questions (FAQ)

What is the integral of 2e^t ?
The integral of 2e^t is 2e^t+C