tion formula 2"e" da = a"e" - %3D e integral

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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Please answer both questions neatly thank you
Use the reduction formula
dæ = x"e" -
e dx
to evaluate the integral
4e dx.
Note: Use an upper-case "C" for the constant of integration.
Transcribed Image Text:Use the reduction formula dæ = x"e" - e dx to evaluate the integral 4e dx. Note: Use an upper-case "C" for the constant of integration.
(a) Use the reduction formula
1
n-1
cos"-(x) sin(x) +
n – 1 [ cos"-2(x) dæ
cos" (x) dæ
n
to evaluate the integral
| cos"(2) dz.
Note: Use an upper-case "C" for the constant of integration.
(b) Use the reduction formula given above and part(a) to evaluate the integral
| cos“(2) dz.
Note: Use an upper-case "C" for the constant of integration.
Transcribed Image Text:(a) Use the reduction formula 1 n-1 cos"-(x) sin(x) + n – 1 [ cos"-2(x) dæ cos" (x) dæ n to evaluate the integral | cos"(2) dz. Note: Use an upper-case "C" for the constant of integration. (b) Use the reduction formula given above and part(a) to evaluate the integral | cos“(2) dz. Note: Use an upper-case "C" for the constant of integration.
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