What is the integral from-1 to 1 of e^x*4 ?

The integral from-1 to 1 of e^x*4 is 4(e-1/e)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from-1 to 1 of e^x*4

\int_{- 1}^{1} e^{x} \cdot 4 d x

4 (e - \frac{1}{e})

Decimal

9.40160 \dots

Solution steps

\int_{- 1}^{1} e^{x} \cdot 4 d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 4 \cdot \int_{- 1}^{1} e^{x} d x

Use the common integral:

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

= 4 [e^{x}]_{- 1}^{1}

Compute the boundaries:

e - \frac{1}{e}

= 4 (e - \frac{1}{e})

\int_{0}^{\infty} e^{- k t} d t

\int_{- π}^{π} cos (x) \cdot cos (3 x) d x

\int_{0}^{x} \frac{1}{( 1 - x ^{2} )} d x

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

\int_{0}^{1} (x^{3} - x) d x

What is the integral from-1 to 1 of e^x*4 ?
The integral from-1 to 1 of e^x*4 is 4(e-1/e)