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Step 1: Work done

Work done for small displacement can be defined as:

dW=Fdx ....(1)

Step 2: Integrate the equation

Total work done can be calculated by integrating the equation (1) with limits x=0 to x=5m

∫dW=5∫0Fdx

∫dW=5∫0(7−2x+3x2)dx

⇒W=[7x−2x22+3x33]50

⇒W=35−25+125=135 J

Hence, the work done is 135 J

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