\int x^3(\log x)^2 \dx=

Correct Answer is : (logx)2x44−12[(logx)x44−x416]+C

(\log x)^2 \frac{x^4}{4}+\frac{1}{2} [(\log x) \frac{x^4}{4}+\frac{x^4}{16}] +C

(\log x)^2 \frac{x^4}{4}-\frac{1}{2} [(\log x) \frac{x^4}{4}+\frac{x^4}{16}] +C

(\log x)^2 \frac{x^4}{4}-\frac{1}{2} [(\log x) \frac{x^4}{4}-\frac{x^4}{16}] +C

(\log x)^2 \frac{x^4}{4}+\frac{1}{2} [(\log x) \frac{x^4}{4}-\frac{x^4}{16}] +C

AP EAPCET 15th May 2023 Shift 2 Solved Paper

Section: Mathematics

Question : 72 of 160

Marks: +1, -0

∫x3(log‌x)2‌dx=

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