\int(\log x)^3 x^4 \dx= [AP EAPCET 21 May 2025 S1]

Correct Answer is : x5[15(logx)3−325(logx)2+6125logx−6625]+c

x^5 [\frac{1}{5}(\log x)^3-\frac{3}{25}(\log x)^2+\frac{6}{125} \log x-\frac{6}{625}] +c

x^5 [\frac{1}{5}(\log x)^3-\frac{2}{25}(\log x)^2+\frac{6}{125} \log x-\frac{12}{125}] +c

x^5 [\frac{1}{5}(\log x)^3-\frac{4}{25}(\log x)^2-\frac{9}{125} \log x-\frac{8}{125}] +c

x^5 [\frac{1}{5}(\log x)^3+\frac{3}{25}(\log x)^2-\frac{6}{125} \log x-\frac{6}{125}] +c

Indefinite Integration

Section: Mathematics

Question : 40 of 89

Marks: +1, -0

∫(log‌x)3x4‌dx=

[AP EAPCET 21 May 2025 S1]

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