I have a homework problem that I do not know how to begin. I must ev.pdf

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The document presents a homework problem involving the evaluation of the integral of (4/(3x+7)) dx. The user expresses confusion about the substitution method, specifically regarding the choice of u and the calculation of du. The solution provides the correct substitution and integration steps to arrive at the final answer, which includes the natural logarithm of the expression.

I have a homework problem that I do not know how to begin. I must evaluate integral (4/3x+7)
dx. I think u= 3x+7 but beyond that I am just lost. Would du = 4x? Please help.
Solution
yeah, u = 3x + 7 du = 3 dx then substitute it, int 4 dx / ( 3x + 7) = int 4 du / 3 u =
4/3 int du/u = 4/3 ln u = 4/3 ln ( 3x + 7) + C

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I have a homework problem that I do not know how to begin. I must ev.pdf

1. I have a homework problem that I do not know how to begin. I must evaluate integral (4/3x+7) dx. I think u= 3x+7 but beyond that I am just lost. Would du = 4x? Please help. Solution yeah, u = 3x + 7 du = 3 dx then substitute it, int 4 dx / ( 3x + 7) = int 4 du / 3 u = 4/3 int du/u = 4/3 ln u = 4/3 ln ( 3x + 7) + C