What is the integral from 0 to 1/2 ln(5) of e^x ?

The integral from 0 to 1/2 ln(5) of e^x is sqrt(5)-1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 0 to 1/2 ln(5) of e^x

\int_{0}^{\frac{1}{2} l n (5)} e^{x} d x

5 - 1

Decimal

1.23606 \dots

Solution steps

\int_{0}^{\frac{1}{2} l n (5)} e^{x} d x

Use the common integral:

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

= [e^{x}]_{0}^{\frac{1}{2} l n (5)}

Compute the boundaries:

5 - 1

= 5 - 1

\int_{0}^{2} x (x - 7) d x

\int_{0}^{5} 10 - 9 x - 7 x^{2} d x

\int_{0}^{2 y} e^{y^{2}} d y

\int_{0}^{4} \frac{x ^{3}}{4} d x

\int_{\frac{3 π}{2}}^{\frac{π}{2}} cos (x) d x

What is the integral from 0 to 1/2 ln(5) of e^x ?
The integral from 0 to 1/2 ln(5) of e^x is sqrt(5)-1