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evaluate the following integral ∫ 1 / x(3 + log x) dx

evaluate the following integral
∫ 1 / x(3 + log x) dx

Grade:12

1 Answers

Jitender Singh IIT Delhi
askIITians Faculty 158 Points
9 years ago
Ans:
Hello student,
Please find the answer to your question below

I = \int \frac{1}{x(logx+3)}dx
logx+3 = t
\frac{1}{x}dx = dt
I = \int \frac{1}{t}dt
I = log(t)+c
I = log(logx+3)+c

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