[tex]If w=2x, then \int\limits^2_0 {f(2x)} \, dx =[/tex]

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05-04-2015
Mathematics

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[tex]If w=2x, then \int\limits^2_0 {f(2x)} \, dx =[/tex]

Sagot :

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BumblebeeBVB BumblebeeBVB · Answer 1 · 2015-04-05T17:14:39-04:00

First, you should solve for [tex]f(2x)[/tex], which equals [tex]2*(2x)=4x[/tex]. Now, solve the integral of [tex]f(2x)[/tex]=[tex]2*(2x)=4x[/tex], to get that[tex] \int\ {(f(2x)=4x)} \, dx= 2x^2[/tex]. You can check this by taking the integral of what you got. Now by the Fundamental Theorem[tex] \int\limits^2_0 {4x} \, dx=[2x^2] ^{2}_{0}=2(2)^{2}-2(0)^2=8[/tex].

This should be the answer to your question, if I understood what you were asking correctly.

Sagot :

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