Thank you for visiting Set up but do not evaluate the integral that expresses the surface area obtained by revolving the curvey2 x2 x5around thex axis foryâ ¾0and0â ½χâ. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
The surface area ranges from 0 to 1, and is equal to the integral of the circumference of a circle with a radius of x2x5 times.
An integral can be used to define the surface area gained by rotating the curve y2=x2x5 around the x-axis for y0 and 0x1. This integral represents the circumference, from 0 to 1, of a circle with radius x2x5 multiplied by. This can be expressed as x25x624x3+8 times the integral of from 0 to 1 for. When the given curve is rotated about the x-axis over the specified range of y and x, this integral will evaluate to the surface area achieved. This integral can be expressed in the simplest possible form as 01 x25x624x3+8 dx.
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Thank you for reading the article Set up but do not evaluate the integral that expresses the surface area obtained by revolving the curvey2 x2 x5around thex axis foryâ ¾0and0â ½χâ. We hope the information provided is useful and helps you understand this topic better. Feel free to explore more helpful content on our website!
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