∫ Sin ( Log X ) X D X - Mathematics

Sum
$\int\frac{\sin \left( \text{log x} \right)}{x} dx$

Solution

$\int\frac{\sin \left( \log x \right)}{x}dx$
$\text{Let }\log x = t$
$\Rightarrow \frac{1}{x}dx = dt$
$Now, \int\frac{\sin \left( \log x \right)}{x}dx$
$= \int\text{sin }\left( \text{t }\right) dt$
$= - \text{cos} \left( \text{t }\right) + C$
$= - \text{cos} \left( \text{log x} \right) + C$

Concept: Indefinite Integral Problems
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APPEARS IN

RD Sharma Class 12 Maths
Chapter 19 Indefinite Integrals
Exercise 19.9 | Q 53 | Page 59