WBJEE · Maths · Indefinite Integration
The value of \(\int \frac{(x-2)}{\left\{(x-2)^{2}(x+3)^{7}\right\rangle^{1 / 3}} d x\) is
- A \(\frac{3}{20}\left(\frac{x-2}{x+3}\right)^{4 / 3}+C\)
- B \(\frac{3}{20}\left(\frac{x-2}{x+3}\right)^{3 / 4}+C\)
- C \(\frac{5}{12}\left(\frac{x-2}{x+3}\right)^{4 / 3}+C\)
- D \(\frac{3}{20}\left(\frac{x-2}{x+3}\right)^{5 / 3}+C\)
Answer & Solution
Correct Answer
(A) \(\frac{3}{20}\left(\frac{x-2}{x+3}\right)^{4 / 3}+C\)
Step-by-step Solution
Detailed explanation
Let \(I=\int \frac{(x-2)}{\left\{(x-2)^{2}(x+3)^{7}\right\}^{1 / 3}} d x\)…
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