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Popular >

integral of 3e^y

Solution

\int 3 e^{y} d y

Solution

3 e^{y} + C

Solution steps

\int 3 e^{y} d y

Take the constant out:

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

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

Use the common integral:

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

= 3 e^{y}

Add a constant to the solution

= 3 e^{y} + C

Popular Examples

integral of 2xln(x-2)

\int 2 x ln (x - 2) d x

integral from 1 to 6 of 3/(x^2+2x+1)

\int_{1}^{6} \frac{3}{x ^{2} + 2 x + 1} d x

(\partial)/(\partial x)(e^{x+9y})

\frac{\partial}{\partial x} (e^{x + 9 y})

area y=cos(x),y=x+1,0, pi/2 area

y = cos (x), y = x + 1, 0, \frac{π}{2}

limit as x approaches 0 of+(xln(x))

x \to 0 lim (+ (x ln (x)))

Frequently Asked Questions (FAQ)

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