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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 sqrt((4x+2)^3)

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

integral of 2e^{5sin(3x)}cos(3x)

\int 2 e^{5 s i n (3 x)} cos (3 x) d x

integral of (x^2-3)^3

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

integral of (10^{ln(x^2)})/x

\int \frac{1 0 ^{l n (x^{2})}}{x} d x

integral of ((2+sqrt(y))^2)/(sqrt(y))

\int \frac{( 2 + y ) ^{2}}{y} d y

Frequently Asked Questions (FAQ)

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