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(x) dx = cF (x) + C.(b) An antiderivative of a sum is the sum of the antiderivatives;that is,[[f(x) + g(x)] dr = F(x) +G(x) + C.dx(c) An antiderivative of a difference is the difference of theantiderivatives; that is,[[f(x) = g(x)] dx = F(x) ‒ G(x) + C.-The power rule:[x² dx = 2² +1+C₁r + -1.NOTE: Enter the exact answer.9S441-VJ+dy =+Cy

Answered: Image /qna-images/answer/090dbb4e-2d89-4984-8b0a-709798e9ae68.jpg

Answered: 14 Lys 9 -25+ dy = Vy

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter2: Functions And Graphs

Section2.6: Proportion And Variation

Problem 22E: Find the constant of proportionality. z is directly proportional to the sum of x and y. If x=2 and...

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