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Popular >

integral of (2-3e^y)

Solution

\int (2 - 3 e^{y}) d y

Solution

2 y - 3 e^{y} + C

Solution steps

\int 2 - 3 e^{y} d y

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 2 d y - \int 3 e^{y} d y

\int 2 d y = 2 y

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

= 2 y - 3 e^{y}

Add a constant to the solution

= 2 y - 3 e^{y} + C

Graph

Popular Examples

integral of x^3arccos(x)

\int x^{3} arccos (x) d x

integral of 2x^3 integral

2 x^{3}

integral of x/((3-x^2)^2)

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

integral of (e^x)/(\sqrt[3]{1+e^x)}

\int \frac{e ^{x}}{3 1 + e ^{x}} d x

integral of (x+5)^{10}

\int (x + 5)^{10} d x

Frequently Asked Questions (FAQ)

What is the integral of (2-3e^y) ?
The integral of (2-3e^y) is 2y-3e^y+C