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Popular >

integral of e^x+2

Solution

\int e^{x} + 2 d x

Solution

e^{x} + 2 x + C

Solution steps

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

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

\int 2 d x = 2 x

= e^{x} + 2 x

Add a constant to the solution

= e^{x} + 2 x + C

Popular Examples

limit as x approaches-infinity of x^2+6

x \to - \infty lim (x^{2} + 6)

derivative of (x^4+3x^2-2^5)

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

integral of ((3y-8))/(y^2-4y-5)

\int \frac{( 3 y - 8 )}{y ^{2} - 4 y - 5} d y

integral of 1/((3x+7)^2)

\int \frac{1}{( 3 x + 7 ) ^{2}} d x

inverse oflaplace (s^2)/(s-1)inverse laplace

\frac{s ^{2}}{s - 1}

Frequently Asked Questions (FAQ)

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