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Popular >

integral of e^{2x}-1

Solution

\int e^{2 x} - 1 d x

Solution

\frac{1}{2} e^{2 x} - x + C

Solution steps

\int e^{2 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^{2 x} d x - \int 1 d x

\int e^{2 x} d x = \frac{1}{2} e^{2 x}

\int 1 d x = x

= \frac{1}{2} e^{2 x} - x

Add a constant to the solution

= \frac{1}{2} e^{2 x} - x + C

Popular Examples

integral of (5x^2)/((121+x^2)^2)

\int \frac{5 x ^{2}}{( 121 + x ^{2} ) ^{2}} d x

limit as x approaches 1 of 1/(ln(x))

x \to 1 lim (\frac{1}{ln ( x )})

integral of 7e^x-3

\int 7 e^{x} - 3 d x

\int - 6 t d t

limit as x approaches-2-of 3x+2

x \to - 2 - lim (3 x + 2)

Frequently Asked Questions (FAQ)

What is the integral of e^{2x}-1 ?
The integral of e^{2x}-1 is 1/2 e^{2x}-x+C