What is the integral of sqrt(cos^2(x)+sin^2(x)) ?

The integral of sqrt(cos^2(x)+sin^2(x)) is x+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of sqrt(cos^2(x)+sin^2(x))

\int cos^{2} (x) + sin^{2} (x) d x

x + C

Solution steps

\int cos^{2} (x) + sin^{2} (x) d x

Rewrite using trig identities

= \int 1 d x

Integral of a constant:

\int a d x = a x

= 1 \cdot x

Simplify

= x

Add a constant to the solution

= x + C

\int \frac{2}{200 + x} d x

\int \frac{x ^{2} \cdot arctan ( x )}{1 + x ^{2}} d x

\int sin (x) (2 + cos (x))^{2} d x

\int (arctan (t))^{2} d t

\int cosh (5 t - 10) d t

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