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Popular Calculus >

integral of 2e^x-3

Solution

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

Solution

2 e^{x} - 3 x + C

Solution steps

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

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 e^{x} d x - \int 3 d x

\int 2 e^{x} d x = 2 e^{x}

\int 3 d x = 3 x

= 2 e^{x} - 3 x

Add a constant to the solution

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

Graph

Popular Examples

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

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\int \frac{1}{3 x - 10} d x

integral of 50-(20)/(x+5)

\int 50 - \frac{20}{x + 5} d x

integral of sec^2(x)sqrt(2+tan(x))

\int sec^{2} (x) 2 + tan (x) d x

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

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

Frequently Asked Questions (FAQ)

What is the integral of 2e^x-3 ?
The integral of 2e^x-3 is 2e^x-3x+C