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Popular >

integral of 4e^x+3

Solution

\int 4 e^{x} + 3 d x

Solution

4 e^{x} + 3 x + C

Solution steps

\int 4 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 4 e^{x} d x + \int 3 d x

\int 4 e^{x} d x = 4 e^{x}

\int 3 d x = 3 x

= 4 e^{x} + 3 x

Add a constant to the solution

= 4 e^{x} + 3 x + C

Popular Examples

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\int \frac{cos ( x )}{sec ^{5} ( x )} d x

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

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\int \frac{x}{2 x ^{2} - 1} d x

integral of 8/((x-9)^3)

\int \frac{8}{( x - 9 ) ^{3}} d x

integral of ytan(x)

\int y tan (x) d x

Frequently Asked Questions (FAQ)

What is the integral of 4e^x+3 ?
The integral of 4e^x+3 is 4e^x+3x+C