What is the integral from x to x^2 of sin(t) ?

The integral from x to x^2 of sin(t) is -cos(x^2)+cos(x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral from x to x^2 of sin(t)

\int_{x}^{x^{2}} sin (t) d t

- cos (x^{2}) + cos (x)

Solution steps

\int_{x}^{x^{2}} sin (t) d t

Use the common integral:

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

= [- cos (t)]_{x}^{x^{2}}

Compute the boundaries:

- cos (x^{2}) + cos (x)

= - cos (x^{2}) + cos (x)

What is the integral from x to x^2 of sin(t) ?
The integral from x to x^2 of sin(t) is -cos(x^2)+cos(x)