What is the integral from 0 to e^x of cos(t) ?

The integral from 0 to e^x of cos(t) is sin(e^x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 0 to e^x of cos(t)

\int_{0}^{e^{x}} cos (t) d t

sin (e^{x})

Solution steps

\int_{0}^{e^{x}} cos (t) d t

Use the common integral:

\int cos (t) d t = sin (t)

= [sin (t)]_{0}^{e^{x}}

Compute the boundaries:

sin (e^{x})

= sin (e^{x})

\int_{0}^{9} 1000 x + 250 d x

\int_{0}^{25} 3 x d x

\int_{9}^{16} (x - 4) d x

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

\int_{0}^{3} x cos (\frac{nπ x}{3}) d x

What is the integral from 0 to e^x of cos(t) ?
The integral from 0 to e^x of cos(t) is sin(e^x)