∫e^lnxsinx dx

Lovey

11 Years agoGrade 12

1 Answer

Jitender Singh

11 Years ago

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

$I = \int e^{lnx}sinxdx$
$I = \int xsinxdx$
Apply ILATE Rule
$I = -xcosx - \int (-cosx)dx$
$I = -xcosx +\int cosxdx$
$I = -xcosx +sinx + c$
$I = (sinx-xcosx) + c$

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