If f(x)=A ( x 2 )+E and f^ ( 1 2 )= 2 and _ 0 ^ 1 f(x) d x= 2 A , then constants A and B…
Mathematics · JEE Main · NTA Exams — Integral Calculus
If \(f(x)=A \sin \left(\frac{\pi x}{2}\right)+E \text { and } f^{\prime}\left(\frac{1}{2}\right)=\sqrt{2}\) and \(\int_{0}^{1} f(x) d x=\frac{2 A}{\pi}\), then constants A and B are
- \(\frac{\pi}{2} \text { and } \frac{\pi}{2}\)
- \(\frac{2}{\pi} \text { and } \frac{3}{\pi}\)
- \(0 \text { and }-\frac{4}{\pi}\)
- \(\frac{4}{\pi} \text { and } 0\)
Answer
(D) 4 and 0
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