Math, asked by Abhisheksontakke, 1 year ago

integrate sin(log x)÷x

Answers

Answered by WhatsInTheName

put logx = t
therefore 1/ x * dx= dt
therefore
$ln(sin(t) dt$
= - cos t = - cos(logx) + c

CyberAkay: Where is constant of integration, C

WhatsInTheName: haha..lagata hun

CyberAkay: Jaldi Laga warna Solanki sir number kaat lenge. xD

WhatsInTheName: han phir dikhayenge ki dekho maine kabhi dx or dt lagana nhi bhulta.

Abhisheksontakke: integrate w.r.t.x sin²x÷1 +cosx answer this please

WhatsInTheName: get the f out of here...do it urself.

Answered by kumark54321

Answer:

cos(logx) + c

Step-by-step explanation:

Assume,

⇒ logx = t

⇒ d(logx) = dt

⇒ $\frac{1}{x}$ dx = dt

⇒ Substituting t and dt

⇒ ∫sint dt

⇒ - cost + c

But,

t = logx

⇒ cos(logx) + c.

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