TS EAMCET · Maths · Indefinite Integration
\(\int \frac{y^2+\sqrt[3]{y^4}+\sqrt[6]{y^2}}{y\left(1+\sqrt[3]{y^2}\right)} d y=\)
- A \(\frac{3}{4} \sqrt[3]{y^4}+3 \tan ^{-1}(\sqrt[3]{y})+C\)
- B \(\frac{3}{2} y^{2 / 3}+6 \tan ^{-1}\left(\sqrt[6]{y^2}\right)+C\)
- C \(\frac{2}{3 \sqrt[3]{y^2}}+6 \log \left(1+y^2\right)+C\)
- D \(\frac{3}{1+y}+\tan ^{-1}\left(\sqrt[3]{y^2}\right)+C\)
Answer & Solution
Correct Answer
(A) \(\frac{3}{4} \sqrt[3]{y^4}+3 \tan ^{-1}(\sqrt[3]{y})+C\)
Step-by-step Solution
Detailed explanation
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