6. When a particle is moved from x = 1 meter to x=3 meters with a force of (x²+2) Newtons, how much work (Joules) is done in moving it? 3 (A) 19.8(x²+2)dx (B) (x²+2)dx (C) 62.5(x² + 2)dx (D)]x(x² + 2)dx

6. When a particle is moved from x = 1 meter to x=3 meters with a force of (x²+2) Newtons, how much work (Joules) is done in moving it? 3 (A) 19.8(x²+2)dx (B) (x²+2)dx (C) 62.5(x² + 2)dx (D)]x(x² + 2)dx

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter9: Multivariable Calculus

Section9.CR: Chapter 9 Review

Problem 54CR

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Question

SHOW FULL SOLUTION AND EXPLAIN. INTEGRAL CALCULUS.

6. When a particle is moved from x= 1 meter to x=3 meters with a force of (x²+2) Newtons, how much
work (Joules) is done in moving it?
3
(A) 19.8(x² + 2)dx (B) (x² + 2)dx (C) 162.5(x² + 2)dx (D) x(x² + 2)dx

With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.

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