ཤར , , ། །(2. + རུ ། །
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ཤར , , ། །(2. + རུ ། །

Defence Exams
Maths
Solution
108
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( I=intleft(x^{3 m}+x^{2 m}+x^{m}right)left(2 x^{2 m}+3 x^{m}+6right)^{1 / m} d x ) ( I=intleft(x^{3 m}+x^{2 m}+x^{m}right)left(left(2 x^{2 m}+3 x^{m}+6right) cdot frac{x^{m}}{x^{m}}right)^{1 / m} d x ) ( I=intleft(x^{3 m-1}+x^{2 m-1}+x^{m-1}right)left(2 x^{3 m}+3 x^{2 m}+6 x^{m}right)^{1 / m} d x ) ( left(2 x^{3 m}+3 x^{2 m}+6 x^{m}right)=t ) ( left(6 m x^{3 m-1}+6 m x^{2 m-1}+6 m x^{m-1}right) d x=d t ) ( left(x^{3 m-1}+x^{2 m-1}+x^{m-1}right) d x=frac{d t}{6 m} ) ( I=frac{1}{6 m} int t^{1 / m} d t=frac{t^{frac{1}{m}+1}}{6(m+1)}+c ) ( I=frac{left(2 x^{3 m}+3 x^{2 m}+6 x^{m}right)^{frac{1}{m}+1}}{6(m+1)}+c )
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