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integration of sin7x

The integration of $sin^7x$, can be found using integration substitution and trigonometry identities . The integral of $\sin^7 x $ with respect to (x) is: \[\int \sin^7 x \, dx =\frac{\cos^7(x)}{7} – \frac{3\cos^5(x)}{5} + \cos^3(x) – \cos(x) + C\] Here, (C) represents the constant of integration, which is added because the process of integration determines

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Atwood machine

The Atwood machine (or Atwood’s machine) was invented in 1784 by Rev. George Atwood as a laboratory experiment to verify the mechanical laws of motion with constant acceleration. Atwood’s machine is a common classroom demonstration used to illustrate principles of classical mechanics.
The ideal Atwood Machine consists of two objects of mass m1 and m2, connected by an inextensible massless string over an ideal massless pulley.

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