Question
Download Solution PDFयदि dy/dx = x3log(4x) है, तो Y(x) ज्ञात कीजिये।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFdy/dx = x3log(4x)
Y(x) =
Y(x) = ∫x3log(4x)dx
\(Y\left( x \right) = \log \left( {4x} \right)\frac{{{x^4}}}{4} - \smallint \frac{1}{{4x}}.4.\frac{{{x^4}}}{4}dx = \log \left( {4x} \right)\frac{{{x^4}}}{4} - \frac{1}{4}\smallint {x^3}dx = \log \left( {4x} \right)\frac{{{x^4}}}{4} - \frac{{{x^4}}}{{16}}\)
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