What is the integral from pi to infinity of 4/(x^2) ?

The integral from pi to infinity of 4/(x^2) is 4/pi

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral from pi to infinity of 4/(x^2)

\int_{π}^{\infty} \frac{4}{x ^{2}} d x

\frac{4}{π}

Decimal

1.27323 \dots

Solution steps

\int_{π}^{\infty} \frac{4}{x ^{2}} d x

Compute the indefinite integral:

\int \frac{4}{x ^{2}} d x = - \frac{4}{x} + C

Compute the boundaries:

\int_{π}^{\infty} \frac{4}{x ^{2}} d x = 0 - (- \frac{4}{π})

= 0 - (- \frac{4}{π})

Simplify

= \frac{4}{π}

y^{^{''}} + 2 y^{^{'}} + y = (3 x + 4) e^{3 x}

f (x) = x^{5} - x^{3} + 3

n or ma l y = x^{4} + 9 e^{x}, (0, 9)

d er i v a t i v e 9 x e^{- k x}

a re a y = 4 - x^{2}, y = 14 - 7 x

What is the integral from pi to infinity of 4/(x^2) ?
The integral from pi to infinity of 4/(x^2) is 4/pi