What is the integral from 0 to arcsin(x) of (cos(x)) ?

The integral from 0 to arcsin(x) of (cos(x)) is 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 arcsin(x) of (cos(x))

\int_{0}^{a r c s i n (x)} (cos (x)) d x

x

Solution steps

\int_{0}^{a r c s i n (x)} cos (x) d x

Use the common integral:

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

= [sin (x)]_{0}^{a r c s i n (x)}

Compute the boundaries:

x

= x

\int_{0}^{\frac{π}{6}} \frac{1}{cos ^{2} ( 8 x )} d x

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

\int_{20}^{x} \frac{1}{x} d x

\int_{0}^{4} 6 (1 - x)^{2} d x

\int_{3}^{4} x^{2} + 2 x + 2 - 8 d x

What is the integral from 0 to arcsin(x) of (cos(x)) ?
The integral from 0 to arcsin(x) of (cos(x)) is x