en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (e/2)^x

Solution

integral

(\frac{e}{2})^{x}

Solution

\frac{e ^{x}}{( 1 - ln ( 2 ) ) \cdot 2 ^{x}} + C

Solution steps

\int (\frac{e}{2})^{x} d x

\int a^{x} d x = \frac{a ^{x}}{ln a}

= \frac{( \frac{e}{2} ) ^{x}}{ln ( \frac{e}{2} )}

Simplify

\frac{( \frac{e}{2} ) ^{x}}{ln ( \frac{e}{2} )} : \frac{e ^{x}}{( 1 - ln ( 2 ) ) \cdot 2 ^{x}}

= \frac{e ^{x}}{( 1 - ln ( 2 ) ) \cdot 2 ^{x}}

Add a constant to the solution

= \frac{e ^{x}}{( 1 - ln ( 2 ) ) \cdot 2 ^{x}} + C

Graph

Popular Examples

integral of 1/((x-a))integral

\frac{1}{( x - a )}

integral of (2x)/((1+x))integral

\frac{2 x}{( 1 + x )}

integral of (8x)/((x^4+1))integral

\frac{8 x}{( x ^{4} + 1 )}

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

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

integral of csc^4(x)integral

csc^{4} (x)

Frequently Asked Questions (FAQ)

What is the integral of (e/2)^x ?
The integral of (e/2)^x is (e^x)/((1-ln(2))*2^x)+C