8. Find 4x(x +1)dx by means of two methods: (a) Do the multiplication first, and then anti-differentiate. (b) Use the substitution w = x². (c) Explain how the expressions from parts (a) and (b) are different. Are they both correct? Evaluate |(-sinx)dx by using the method of substitution. 10. Evaluate sec x dx by using the method of substitution.
8. Find 4x(x +1)dx by means of two methods: (a) Do the multiplication first, and then anti-differentiate. (b) Use the substitution w = x². (c) Explain how the expressions from parts (a) and (b) are different. Are they both correct? Evaluate |(-sinx)dx by using the method of substitution. 10. Evaluate sec x dx by using the method of substitution.
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:8.
Find [4x(x*
+1)dx by means of two methods:
(а)
Do the multiplication first, and then anti-differentiate.
(b)
Use the substitution w = x².
(c)
Explain how the expressions from parts (a) and (b) are different. Are they both
correct?
Evaluate (-sinx)dx by using the method of substitution.
10.
Evaluate secx dx by using the method of substitution.
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