What is the integral from cos(y) to 0 of e^xsin(y) ?

The integral from cos(y) to 0 of e^xsin(y) is sin(y)(1-e^{cos(y)})

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from cos(y) to 0 of e^xsin(y)

\int_{c o s (y)}^{0} e^{x} sin (y) d x

sin (y) (1 - e^{c o s (y)})

Solution steps

\int_{c o s (y)}^{0} e^{x} sin (y) d x

Take the constant out:

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

= sin (y) \cdot \int_{c o s (y)}^{0} e^{x} d x

Use the common integral:

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

= sin (y) [e^{x}]_{c o s (y)}^{0}

Compute the boundaries:

1 - e^{c o s (y)}

= sin (y) (1 - e^{c o s (y)})

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

\int_{0}^{y} e^{- (x + y)} d x

\int_{0}^{2} x^{2} + 4 x d x

\int_{0}^{2} 1 + (2 y + 1)^{2} d y

\int_{- 1}^{3} 5 d x

What is the integral from cos(y) to 0 of e^xsin(y) ?
The integral from cos(y) to 0 of e^xsin(y) is sin(y)(1-e^{cos(y)})