11. a) Show that e Hence or otherwise evaluate dx leaving your answer in e+1 e*+1 +1 terms of e and natural logarithms. b) Evaluate x²e* dx, leaving your answer in terms of c.

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Solve Q11 a, b explaining detailly each step

Srady aid in Advanced level Mathermatics...
10. a) Evaluate
dx b) Jo 5+0x
dx e) o
dx(
a)
11. a) Show that
dx leaving your answer in
Hence or otherwise evaluate J
*+1
+1
ex+1
terms of e and natural logarithms.
b) Evaluate x²e* dx, leaving your answer in terms of e.
"/4
12. Evaluate a) S4 xcos2x dx, leaving your answer in terms of n.
x-2
b) S dxusing the substitution u= 3x+ 4
c) So
dx,using the substitution t= tanx and leaving your answer in
4cos x-stn?
terms of natural logarithms.
x+1
cosx
13. Find a) f
dx
(x-1)(x+1)
b) fo
(1+sin x)
dx, using the substitution u = sinx.
ef, (x + 1)e *dx.
14. Find a) fe*sin2xdxb) f:
dx, using the substitution x = 2 tan0.
15. Find a) fxedx b) dx using the substitution of x cos t.
1-x
%3D
Transcribed Image Text:Srady aid in Advanced level Mathermatics... 10. a) Evaluate dx b) Jo 5+0x dx e) o dx( a) 11. a) Show that dx leaving your answer in Hence or otherwise evaluate J *+1 +1 ex+1 terms of e and natural logarithms. b) Evaluate x²e* dx, leaving your answer in terms of e. "/4 12. Evaluate a) S4 xcos2x dx, leaving your answer in terms of n. x-2 b) S dxusing the substitution u= 3x+ 4 c) So dx,using the substitution t= tanx and leaving your answer in 4cos x-stn? terms of natural logarithms. x+1 cosx 13. Find a) f dx (x-1)(x+1) b) fo (1+sin x) dx, using the substitution u = sinx. ef, (x + 1)e *dx. 14. Find a) fe*sin2xdxb) f: dx, using the substitution x = 2 tan0. 15. Find a) fxedx b) dx using the substitution of x cos t. 1-x %3D
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