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Popular >

integral of e+x

Solution

\int e + x d x

Solution

e x + \frac{x ^{2}}{2} + C

Solution steps

\int e + x 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 d x + \int x d x

\int e d x = e x

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

= e x + \frac{x ^{2}}{2}

Add a constant to the solution

= e x + \frac{x ^{2}}{2} + C

Popular Examples

integral of (3690)/(x^{-99)}

\int \frac{3690}{x ^{- 99}} d x

integral of (x^2)/(sqrt(x^2-13))

\int \frac{x ^{2}}{x ^{2} - 13} d x

integral of (2x^3-1)^3

\int (2 x^{3} - 1)^{3} d x

integral of 3x^2(x^3-1)

\int 3 x^{2} (x^{3} - 1) d x

integral of 2sin(2x)+4x

\int 2 sin (2 x) + 4 x d x

Frequently Asked Questions (FAQ)

What is the integral of e+x ?
The integral of e+x is ex+(x^2)/2+C