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प्रश्न
Which is the correct split for \[\int\frac{x+2}{2x^2+6x+5}\,dx\]?
पर्याय
\[\int\frac{4x+6}{2x^2+6x+5}\,dx+\int\frac{dx}{2x^2+6x+5}\]
\[\frac14\int\frac{4x+6}{2x^2+6x+5}\,dx+\frac12\int\frac{dx}{2x^2+6x+5}\]
\[\frac12\int\frac{4x+6}{2x^2+6x+5}\,dx+\frac14\int\frac{dx}{2x^2+6x+5}\]
\[\frac14\int\frac{x+2}{4x+6}\,dx+\frac12\int\frac{dx}{2x^2+6x+5}\]
MCQ
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उत्तर
Use \[x+2=\frac14(4x+6)+\frac12\]. Dividing by the denominator gives the two integrals with coefficients \[\frac14\] and \[\frac12\].
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