What is the integral of (sin(sqrt(1-x)))/(sqrt(1-x)) ?

The integral of (sin(sqrt(1-x)))/(sqrt(1-x)) is 2cos(sqrt(1-x))+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (sin(sqrt(1-x)))/(sqrt(1-x))

\int \frac{sin ( 1 - x )}{1 - x} d x

2 cos (1 - x) + C

Solution steps

\int \frac{sin ( 1 - x )}{1 - x} d x

Apply u-substitution

: \int - 2 sin (u) d u

= \int - 2 sin (u) d u

Take the constant out:

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

= - 2 \cdot \int sin (u) d u

Use the common integral:

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

= - 2 (- cos (u))

Substitute back

u = 1 - x

= - 2 (- cos (1 - x))

Simplify

= 2 cos (1 - x)

Add a constant to the solution

= 2 cos (1 - x) + C

\int y^{2} e^{s i n (2 x)}

\int 0.0003 x^{2} - 0.12 x + 20 d x

\int (3 x) d x

\int 75 e^{- \frac{x}{50}} d x

\int 2 x e^{1 - x} d x

What is the integral of (sin(sqrt(1-x)))/(sqrt(1-x)) ?
The integral of (sin(sqrt(1-x)))/(sqrt(1-x)) is 2cos(sqrt(1-x))+C