Evaluate the following integral by making the given substitution: ∫ ((dt) / ((1 - 6t)^4))
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Evaluate the following integral by making the given substitution: ∫ ((dt) / ((1 - 6t)^4))

[From: ] [author: ] [Date: 11-04-22] [Hit: ]
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Evaluate the following integral by making the given substitution:

∫ ((dt) / ((1 - 6t)^4))
u= 1 - 6t

Any and all help is much appreciated! Thanks so much in advance!

-
u = 1-6t

du = 6dt ; dt = 1/6du

∫ ((dt) / ((1 - 6t)^4)) = 1/6 ∫ 1/(u^4) du

1/6 * -(1/3)(1/u^3) + C

now just substitute u for 1-6t and simplify.
1
keywords: dt,following,substitution,integral,given,Evaluate,making,int,by,the,Evaluate the following integral by making the given substitution: ∫ ((dt) / ((1 - 6t)^4))
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