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Popular >

integral of 4e^x+9

Solution

\int 4 e^{x} + 9 d x

Solution

4 e^{x} + 9 x + C

Solution steps

\int 4 e^{x} + 9 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 9 d x

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

\int 9 d x = 9 x

= 4 e^{x} + 9 x

Add a constant to the solution

= 4 e^{x} + 9 x + C

Graph

Popular Examples

integral of (1+e^x)/(e^{2x)+4}

\int \frac{1 + e ^{x}}{e ^{2 x} + 4} d x

integral of (3t^2+1)/(t(t^2+1))

\int \frac{3 t ^{2} + 1}{t ( t ^{2} + 1 )} d t

integral of (x+1)/(x^2(x^2+1))

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

integral of 1/x sin(ln(x))

\int \frac{1}{x} sin (ln (x)) d x

integral of sqrt(4y^2+1)

\int 4 y^{2} + 1 d y

Frequently Asked Questions (FAQ)

What is the integral of 4e^x+9 ?
The integral of 4e^x+9 is 4e^x+9x+C