Determine the following integrals:Note, in particular, that integration ‘by inspection’ (i.e., writing down the answer and differentiating it to show that it is correct) is not a valid method in answering the question.You may quote without proof the formula for integration by parts, and the formula for integrals of the form ∫ f ′ (x)/f(x) dx, but, if used, your working should include an explicit statement of the formula the first time it is used in each question. If a particular formula is required more than once in a given question, you should also explicitly mention the formula each time it is used subsequently (e.g., justify a subsequent step in your argument by saying “...using the formula for integration by parts”)You may assume, without ever mentioning, the linearity property of the integralNote that you may not assume without proof any other integrals. IV.4х + 2dxx2 + x + 5V.2а — 1d.xx² – 7x + 10VI.| sin(3r) cos(5x) dz

Answered: IV. 4x + 2 dx x² + x + 5 V. 2x – 1 - dx…

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

Related questions

Question

Determine the following integrals:

Note, in particular, that integration ‘by inspection’ (i.e., writing down the answer and differentiating it to show that it is correct) is not a valid method in answering the question.
You may quote without proof the formula for integration by parts, and the formula for integrals of the form ∫ f ′ (x)/f(x) dx, but, if used, your working should include an explicit statement of the formula the first time it is used in each question. If a particular formula is required more than once in a given question, you should also explicitly mention the formula each time it is used subsequently (e.g., justify a subsequent step in your argument by saying “...using the formula for integration by parts”)
You may assume, without ever mentioning, the linearity property of the integral
Note that you may not assume without proof any other integrals.