10Consider the indefinite integralcos" (6t) sin(6t) dt.Σ.The most appropriate substitution to simplify this integral is u =Then du :ΣΣdt,so sin (6t) dt = c du, where the constant c =After making the substitution we obtain the integral f(u) du, where f(u) =ΣThis last integral, when evaluated, isΣAfter substituting back for u we obtain the following final form of the answer:cos" (6t) sin(6t) dt =Σ%3DCOSM.

To find the given indefinite integral.

Consider the indefinite integral cos" (6t) sin(6t) dt. The most appropriate substitution to simplify this integral is u = Σ Then du = M dt, so sin(6t) dt = c du, where the constant c = Σ After making the substitution we obtain the integral f(u) du, where f(u) = Σ This last integral, when evaluated, is Σ After substituting back for u we obtain the following final form of the answer: cos" (6t) sin(6t) dt = Σ

Consider the indefinite integral cos" (6t) sin(6t) dt. The most appropriate substitution to simplify this integral is u = Σ Then du = M dt, so sin(6t) dt = c du, where the constant c = Σ After making the substitution we obtain the integral f(u) du, where f(u) = Σ This last integral, when evaluated, is Σ After substituting back for u we obtain the following final form of the answer: cos" (6t) sin(6t) dt = Σ

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter9: Multivariable Calculus

Section9.4: Total Differentials And Approximations

Problem 7E: Use the total differential to approximate each quantity. Then use a calculator to approximate the...

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