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Popular >

integral of (e^x+5)

Solution

\int (e^{x} + 5) d x

Solution

e^{x} + 5 x + C

Solution steps

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

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

\int 5 d x = 5 x

= e^{x} + 5 x

Add a constant to the solution

= e^{x} + 5 x + C

Popular Examples

limit as x approaches 3 of 9-x^2

x \to 3 lim (9 - x^{2})

limit as x approaches 0 of (ln(x))^2

x \to 0 lim ((ln (x))^{2})

limit as x approaches-1+of 1/(x^2+1)

x \to - 1 + lim (\frac{1}{x ^{2} + 1})

integral of (6x^2-5x-1)

\int (6 x^{2} - 5 x - 1) d x

limit as x approaches infinity of i/n

x \to \infty lim (\frac{i}{n})

Frequently Asked Questions (FAQ)

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