Flag Integral Calculus> Integrate ∫sin(lnx)dx Please reply soon....
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Integrate
∫sin(lnx)dx
Please reply soon.

Lovey , 10 Years ago
Grade 12
anser 2 Answers
Jitender Singh

Last Activity: 10 Years ago

Ans:
Hello Student,
Please find answer to your question below

I = \int sin(lnx)dx
lnx = t
\frac{1}{x}.dx = dt
I = \int e^{t}.sin(t)dt
Use ILATE rule, we have
I = e^{t}(sint - cost) + c
I = x(sin(lnx) - cos(lnx)) + c

Lovey

Last Activity: 10 Years ago

Thank u very much.

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