Let \(∫^\frac{π}{2}_\frac{-π}{2}sin^2xdx\)
\(As\, sin^2(−x)=(sin(−x))^2=(−sinx)^2=sin^2x\,therefore,\,sin^2x\,\, is\,\, an\,\, even\,\, function.\)
\(It\,\, is\,\, known\,\, that\,\, if\,\, f(x)\,is\,\, an\,\, even\, function,then\,\, ∫^a_{-a}ƒ(x)dx=2∫^a_0ƒ(x)dx\)
\(I=2∫_0^{π}{2} sin^2xdx\)
\(=2∫_0^{π}{2} \frac{1-cos2x}{2}dx\)
\(=∫_0^\frac{π}{2}(1-cos2x)dx\)
\(=[x-\frac{sin2x}{2}]^\frac{π}{2}_0\)
\(=\frac{π}{2}\)
1. Haemophilia and red-green colour-blindness is usually observed in men. Why?
2. Perform a cross (or crosses) where haemophilic daughter(s) and haemophilic son(s) are
produced in the same ratio.
OR
1. Where do transcription and translation occur in bacteria and eukaryotes respectively?
2. Draw a labelled schematic sketch of replication fork of DNA.
3. A DNA segment has a total of 1000 nucleotides, out of which 240 of them are Adenine-containing nucleotides. How many pyrimidine bases does this segment possess?