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Popular >

integral of e^x+1

Solution

integral

e^{x} + 1

Solution

e^{x} + x + C

Solution steps

\int e^{x} + 1 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 1 d x

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

\int 1 d x = x

= e^{x} + x

Add a constant to the solution

= e^{x} + x + C

Graph

Popular Examples

integral of x/1 integral

\frac{x}{1}

integral of (2^3)/(2*y^{1/2)}integral

\frac{2 ^{3}}{2 \cdot y ^{\frac{1}{2}}}

integral of e^x-1 integral

e^{x} - 1

integral of (x+1)e^x integral

(x + 1) e^{x}

integral of sin(2x-1)integral

sin (2 x - 1)

Frequently Asked Questions (FAQ)

What is the integral of e^x+1 ?
The integral of e^x+1 is e^x+x+C