Find the following indefinite integrals: a. b. c. d. e. f. g. h. i. j. k. l.
Question:
Find the following indefinite integrals:
a.
b.
c.
d.
e.
f.
g.
h.
i.
j.
k.
l.
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Step by Step Answer:
a 13x1 dx Solution Apply usubstitution 13u du Take out the constant afxdx afxdx 131u du Use the common integral 1u du lnu 13lnu Substitute back u 3x1 13ln3x1 Add a constant to the solution equation 13ln3x1 C Answer 13ln3x1 C Graph 13ln3x1 C where we assumed the value of C 0 b 3x1 4 dx Solution Apply usubstitution u 4 3 du Take out the constant afxdx afxdx 13u 4 du Apply the Power Rule 13u 5 5 Substitute back u 3x1 133x1 5 5 Simplify 133x1 5 5 115 3x1 5 Add a constant to the solution equation 115 3x1 5 C Answer 115 3x1 5 C Graph 115 3x1 5 C where we assumed the value of C 0 c e 3x1 dx Solution Apply usubstitution e u 13 du Take out the constant afxdx afxdx 13e u du Use the common integral e u du e u 13 e u Substitute back u 3x1 13e 3x1 Add a constant to the solution equation 13e 3x1 C Answer 13e 3x1 C Graph 13e 3x1 C where we assumed the value of C 0 d sin3x1 dx Solution Apply usubstitution sinu 13 du Take out the constant afxdx afxdx 13sinu du Use the common integral sinu du cosu 13 cosu Substitute back u 3x1 13 cos3x1 Simplify 13 cos3x1 13 cos3x1 Add a constant to the solution equation 13 ...View the full answer
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Related Book For 
Cambridge IGCSE And O Level Additional Mathematics
ISBN: 9781510421646
1st Edition
Authors: Val Hanrahan, Jeanette Powell
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