Answered: Use the reduction formula twice to find…

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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Use the reduction formula twice to find the value of this integral: integral tan^(5)xdx

Reduction formula:integral tan^(m)xdx=(tan^(m-1)x)/m-1 - integral tan^(m-2)xdx.

Use the Product to Sum Identities and integration to find the Area of the Q1 region trapped between the graph of the function f(x) and the x – axis over the given interval.

Sketch the region first and estimate its’ size before integrating in each case.

1) f(x)=4sin(3x)cosx, I: [0, pi/3]

2) f(x)= 6cos(2x)cosx, I: [0, pi/4]

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