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Popular >

integral of 2e^x+5

Solution

\int 2 e^{x} + 5 d x

Solution

2 e^{x} + 5 x + C

Solution steps

\int 2 e^{x} + 5 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 5 d x

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

\int 5 d x = 5 x

= 2 e^{x} + 5 x

Add a constant to the solution

= 2 e^{x} + 5 x + C

Popular Examples

integral of (e^{2/x})/(3x^2)

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

integral of 1/((2x+5)^{11)}

\int \frac{1}{( 2 x + 5 ) ^{11}} d x

integral of (x+2)^7

\int (x + 2)^{7} d x

integral of (35)/(9+t^2)

\int \frac{35}{9 + t ^{2}} d t

integral of (7/(x^2+1)-8/x)

\int (\frac{7}{x ^{2} + 1} - \frac{8}{x}) d x

Frequently Asked Questions (FAQ)

What is the integral of 2e^x+5 ?
The integral of 2e^x+5 is 2e^x+5x+C