AP EAMCET · Maths · Definite Integration
If , then
- A
- B
- C
- D
Answer & Solution
Correct Answer
(B)
Step-by-step Solution
Detailed explanation
Let I=∫0π/4log(1+tanx)dx Using property of integration ∫0af(x)dx=∫0af(a-x)dx ⇒I=∫0π4log1+tanπ4-xdx ⇒I=∫0π4log21+tanxdx ⇒I=∫0π4log2dx-∫0π4log1+tanxdx…
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\(\begin{array}{ll}
\hline \text { List I } & \text { List II } \\
\hline \text {(A) } \sin ^{-1}\left(\frac{2 x}{1+x^2}\right) & \text { (I) } \cos x-\sin x \\
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\hline & \text { (V) }-\sin x-\cos x \\
\hline
\end{array}\)
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