मराठी

What is \[\int\frac{\sin x}{\sin(x+a)}\,dx\]?

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प्रश्न

What is \[\int\frac{\sin x}{\sin(x+a)}\,dx\]?

पर्याय

  • \[x\sin a-\cos a\log|\sin(x+a)|+C\]

  • \[x\cos a-\sin a\log|\cos(x+a)|+C\]

  • \[x\cos a-\sin a\log|\sin(x+a)|+C\]

  • \[x\cos a+\sin a\log|\sin(x+a)|+C\]

MCQ
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उत्तर

After integration, substitute \[t=x+a\]. The terms \[a\cos a\] and \[-C_1\sin a\] are combined into another arbitrary constant \[C\].

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