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Popular >

integral of e^x+c

Solution

\int e^{x} + c d x

Solution

e^{x} + c x + C

Solution steps

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

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

\int c d x = c x

= e^{x} + c x

Add a constant to the solution

= e^{x} + c x + C

Popular Examples

integral of (x^3-pi)

\int (x^{3} - π) d x

integral of 4/(x^9)

\int \frac{4}{x ^{9}} d x

integral of 0.6e^{-0.7x}

\int 0.6 e^{- 0.7 x} d x

integral of 3x^4(2x-5)

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

integral of (x+9)/(x^2+5x)

\int \frac{x + 9}{x ^{2} + 5 x} d x

Frequently Asked Questions (FAQ)

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