Question:medium
The value of \(\int 16x^3 \log_e x dx\) is equal to
The value of \(\int 16x^3 \log_e x dx\) is equal to
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When integrating a log function multiplied by \(x^n\), the result is always in the form \(\frac{x^{n+1}}{n+1} \log x - \frac{x^{n+1}}{(n+1)^2}\).
Updated On: Jun 24, 2026
- \(4x^4 \log_e(x) + x^4 + C\)
- \(4x^4 \log_e(x) - x^4 + C\)
- \(4x^4 \log_e(x)x^3 + C\)
- \(4x^4 \log_e(x) - \frac{4}{3}x^3 + C\)
- \(4x^4 \log_e(x) - 4x^4 + C\)
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The Correct Option is B
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