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Popular >

integral of (e^x+1)

Solution

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

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 \sqrt[7]{tan(3x)}sec^2(3x)

\int 7 tan (3 x) sec^{2} (3 x) d x

derivative of x^4+12x^2+42

\frac{d}{d x} (x^{4} + 12 x^{2} + 42)

derivative of (6x/(2+x^2))

\frac{d}{d x} (\frac{6 x}{2 + x ^{2}})

x y^{^{'}} = 2 y + x^{3}

integral of (sin(4x))/(cos^3(4x))

\int \frac{sin ( 4 x )}{cos ^{3} ( 4 x )} d x

Frequently Asked Questions (FAQ)

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