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Popular >

integral of 3e^x+3

Solution

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

Solution

3 e^{x} + 3 x + C

Solution steps

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

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

\int 3 d x = 3 x

= 3 e^{x} + 3 x

Add a constant to the solution

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

Graph

Popular Examples

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\int \frac{4 x}{5 ( 6 x ^{2} - 7 ) ^{\frac{2}{3}}} d x

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\int 6 - 2 x d x

integral of 3sin(θ)

\int 3 sin (θ) d θ

integral of 3/(sqrt(36-16x^2))

\int \frac{3}{36 - 16 x ^{2}} d x

integral of ((x^3+2x^2+5x+4)/(x+2))

\int (\frac{x ^{3} + 2 x ^{2} + 5 x + 4}{x + 2}) d x

Frequently Asked Questions (FAQ)

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