Question

Integrate GMm/x^2,b=infinite and a=R

Answer 1

Explanation:

$= {\int_a}^{b} \frac{GMm}{ {x}^{2} } dx \\ ={\int_R}^{ ∞} \frac{GMm}{ {x}^{2} } dx\\ =GMm{\int_R}^{∞} \frac{1}{ {x}^{2} }dx \\ =GMm {[ - \frac{1}{x} ]}^{∞} _R \\ = GMm[ - \frac{1}{∞} - ( - \frac{1}{R}) ] \\ = GMm[0 +\frac{1}{R} ] \\ = \frac{GMm}{R} \\ \red{\mathfrak{\underline{\large{Hope \: It \: Helps \: You }}}} \\ \blue{\mathfrak{\underline{\large{Mark \: Me \: Brainliest}}}}$