First slide
Work done by Diff type of forces
Question

A force of (4x2 + 3x) N acts on a particle which displaces it from x = 2m to x = 3m. The work done by the force is

Moderate
Solution

\large W = \int\limits_2^3 {Fdx} = 4\left[ {\frac{{{x^3}}}{3}} \right]_2^3 + 3\left[ {\frac{{{x^2}}}{2}} \right]_2^3

\large W = \frac{4}{3}(27 - 8) + \frac{3}{2}(9 - 4)\;;\;W = 32.8J

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