Evaluate the integral by applying the following theoremsand the power rule appropriately.Suppose that F(x) and G(x) are antiderivatives of f(x) and g(x)respectively, and that c is a constant. Then:(a) A constant factor can be moved through an integral sign; that is,| cf (æ) dæ = cF(x)+C.(b) An antiderivative of a sum is the sum of the antiderivatives;that is,|LS(«) + g(æ)] dæ =F(x)+G(x)+C.(c) An antiderivative of a difference is the difference of theantiderivatives; that is,/s(2) – 9(2)] de = F (æ) – G(m) + C.Thex"+1powerrule:x" d.x+ C,r + -1.r +1NOTE: Enter the exact answer.7x +6x5dx+C

Following concepts of integration are used in engineering mathematics of mechanical engineering.

Evaluate the integral by applying the following theorems and the power rule appropriately. Suppose that F (x) and G(x) are antiderivatives of f(x) and g(x) respectively, and that c is a constant. Then: (a) A constant factor can be moved through an integral sign; that is, | cf (x) dæ = cF(x)+C. %3D (b) An antiderivative of a sum is the sum of the antiderivatives; that is, |[s(x) + g(x)] dv = F(x)+ G(x)+C. (c) An antiderivative of a difference is the difference of the antiderivatives; that is, /i (2) – 9(x)] dæ = F(1x) – G(æ) + C. x"+1 The power rule: x" dx + C,r + -1. r +1 NOTE: Enter the exact answer. dx = 6x5 +C 7x +

Evaluate the integral by applying the following theorems and the power rule appropriately. Suppose that F (x) and G(x) are antiderivatives of f(x) and g(x) respectively, and that c is a constant. Then: (a) A constant factor can be moved through an integral sign; that is, | cf (x) dæ = cF(x)+C. %3D (b) An antiderivative of a sum is the sum of the antiderivatives; that is, |[s(x) + g(x)] dv = F(x)+ G(x)+C. (c) An antiderivative of a difference is the difference of the antiderivatives; that is, /i (2) – 9(x)] dæ = F(1x) – G(æ) + C. x"+1 The power rule: x" dx + C,r + -1. r +1 NOTE: Enter the exact answer. dx = 6x5 +C 7x +

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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