Question

Find the integral $\int 7x \ln(15x) \, dx$. 

          Find the integral $\int 7x \ln(15x) \, dx$.
Find the integral ∫ 7x ln(15x) dx.

Added by Mariano F.

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Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th Edition
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Find the integral int 7xln(15x)dx 7x ln(15x) dx Find the integral
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Transcript

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00:01 Hello everyone, this question we have to evaluate the integral i equal to integral 4 to 5 7 x square dx.
00:12 We have to evaluate this integral.
00:14 So first we take the constant outside.
00:17 So we will be having 7 into integral of 4 to 5 x square dx.
00:24 So we know integral of x and dx can be written as x to the power n plus 1 divided by n plus 1 plus c.
00:33 Therefore, 7 into integral of x square dx is nothing but x 2 plus 1 divided by 2 plus 1 that is x 3 by 3.
00:44 So x 3 by 3 the limit is 4 to 5 plus c.
00:51 So we will take 3 outside...
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