What is the integral from 1 to ln(e) of x^{100} ?

The integral from 1 to ln(e) of x^{100} is 0

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 1 to ln(e) of x^{100}

\int_{1}^{l n (e)} x^{100} d x

0

Solution steps

\int_{1}^{l n (e)} x^{100} d x

Apply the Power Rule

: [\frac{x ^{101}}{101}]_{1}^{l n (e)}

= [\frac{x ^{101}}{101}]_{1}^{l n (e)}

Apply log rule:

lo g_{a} (a) = 1

= [\frac{x ^{101}}{101}]_{1}^{1}

Compute the boundaries:

0

= 0

\int_{0}^{1} x 1 + x d x

\int_{2}^{3} 5^{5 x} d x

\int_{0}^{1} \frac{x + y}{z} d x

\int_{1}^{3} (4 x^{3} - 3 x^{2} + 1) d x

\int_{- 1}^{3} (3 u - 8) (u + 3) d u

What is the integral from 1 to ln(e) of x^{100} ?
The integral from 1 to ln(e) of x^{100} is 0