rive a reduction formula for x" sin 2x dx, where n is an integer.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Transcribed Image Text:(a) Derive a reduction formula for
[20²
xn
(b) The region bounded by the curve y
about the x-axis to generate a solid.
(c) Find the length of the curve y
=
dy
dx
- ln x csc y = 0.
sin 2x dx, where n is an integer.
x² + 1 and the line y = 3
Find the volume of the solid.
2
=x³/2 from x = 0 to x = 4.
(d) Find the area of the surface generated by revolving the curve y = √√√x, 1 ≤ x ≤ 4,
about the x-axis.
(e) Find the solution to the differential equation
x is revolved
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