TS EAMCET · Maths · Indefinite Integration
Match the following items from List I into List II
Select the correct choice
- A \(1-\mathrm{C}, 2-\mathrm{E}, 3-\mathrm{B}, 4-\mathrm{A}\)
- B \(1-\mathrm{C}, 2-\mathrm{D}, 3-\mathrm{B}, 4-\mathrm{A}\)
- C \(1-\mathrm{D}, 2-\mathrm{C}, 3-\mathrm{A}, 4-\mathrm{B}\)
- D \(1-\mathrm{C}, 2-\mathrm{E}, 3-\mathrm{A}, 4-\mathrm{D}\)
Answer & Solution
Correct Answer
(B) \(1-\mathrm{C}, 2-\mathrm{D}, 3-\mathrm{B}, 4-\mathrm{A}\)
Step-by-step Solution
Detailed explanation
\[ \text { (i) } \int \frac{\sin ^2 x}{\cos ^4 x} d x=\int \tan ^2 x \cdot \sec ^2 x d x \] Let \(\tan x=t, \sec ^2 x d x=d t\) \[ \int t^2 d t=\frac{t^3}{3}+C=\frac{\tan ^3 x}{3}+C \]…
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