\int ( {\x}^{3 {\m}}+ {\x}^{2 {\m}}+ {\x}^{ {\m}}) (2 {\x}^{2 {\m}}+3 {\x}^{ {\m}}+6) ^{\frac{1}{ {\m}}} {\dx}=

Correct Answer is : 16(m+1)(2x3m+3x2m+6xm)m+1m+C

\frac{1}{6(m+1)} (2 x^{3 m}+3 x^{2 m}+6 x^m) ^{\frac{m+1}{m}}+C

\frac{1}{6(m+1)} (2 x^{3 m}+3 x^{2 m}+6 x^m) ^{\frac{m-1}{m}}+C

\frac{1}{6( {\m}+1)} (2 {\x}^{3 {\m}}+3 {\x}^{2 {\m}}+6) ^{ { {\m}+1}/{ {\m}}}+C

\frac{1}{6(m-1)} (2 x^{3 m}+m x^{2 m}+6 x^m) ^{\frac{m-1}{m}}+C

AP EAPCET 17th May 2023 Shift 1 Solved Paper

Section: Mathematics

Question : 73 of 160

Marks: +1, -0

∫(x3m+x2m+xm)(2x2m+3xm+6)‌

‌dx=

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