What is area y=e^x,y=x,x=0,x=1 ?

The answer to area y=e^x,y=x,x=0,x=1 is e-3/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

area y=e^x,y=x,x=0,x=1

area

y = e^{x}, y = x, x = 0, x = 1

e - \frac{3}{2}

Decimal Notation

1.21828 \dots

Solution steps

Apply the area formula:

\int_{0}^{1} ∣ e^{x} - x ∣ d x

Solve

\int_{0}^{1} ∣ e^{x} - x ∣ d x : e - \frac{3}{2}

The area is:

= e - \frac{3}{2}

\int \frac{e ^{2 x}}{1 - e ^{4 x}} d x

x \to 2 lim (\frac{x + 1}{x ^{2} - 4})

\int \frac{1}{5 x ^{2} + x} d x

\int \frac{1}{( 2 x + 3 )} d x

\int x^{3} 1 - x^{2} d x