What is the integral from 0 to pi of 1/(1+cos^2(x)) ?

The integral from 0 to pi of 1/(1+cos^2(x)) is 2.22144…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 0 to pi of 1/(1+cos^2(x))

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

2.22144 \dots

Solution steps

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

Evaluating using numerical calculation methods

= 2.22144 \dots

\int_{0}^{1} 4 x \cdot e^{- 2 x} d x

\int_{0}^{x^{4}} cos^{2} (u) d u

\int_{- 2}^{0} - 2 d x

\int_{1}^{x^{3}} \frac{1}{1 + ln ( x )} d x

\int_{0}^{\frac{π}{3}} sin^{2} (θ) d θ

What is the integral from 0 to pi of 1/(1+cos^2(x)) ?
The integral from 0 to pi of 1/(1+cos^2(x)) is 2.22144…