AP EAMCET · Maths · Indefinite Integration
If \(I(x)=\int x^2(\log x)^2 d x\) and \(I(I)=0\), then \(I(x)\)
- A \(\frac{x^3}{18}\left[8(\log x)^2-3 \log x\right]+\frac{7}{18}\)
- B \(\frac{x^3}{27}\left[9(\log x)^2+6 \log x\right]-\frac{2}{27}\)
- C \(\frac{x^3}{27}\left[9(\log x)^2-6 \log x+2\right]-\frac{2}{27}\)
- D \(\frac{x^3}{27}\left[9(\log x)^2-6 \log x-2\right]+\frac{2}{27}\)
Answer & Solution
Correct Answer
(C) \(\frac{x^3}{27}\left[9(\log x)^2-6 \log x+2\right]-\frac{2}{27}\)
Step-by-step Solution
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