A variable force of 3x−2 pounds moves an object along a straight line when it is x feet from the origin. Calculate the work done in moving the object from x = 1 ft to x = 10 ft. (Round your answer to two decimal places.)

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Step-by-step explanation:

We have been given that a variable force of pounds moves an object along a straight line when it is x feet from the origin.  We are asked to find the work done in moving the object from x = 1 ft to x = 10 ft.

We know that , where F represents force.

Now, we will integrate both sides of equation as:

Take the constant out:

Upon applying power rule of integrals, we will get:

Therefore, the work done by the object is .

mxb67

step-by-step explanation:

(8+64)^2= 5184 < answer

step-by-step explanation:

2^3 = 8

4^3= 64

(8+64)^2 = 5184