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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

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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