MCQ
Area bounded by $y = x\sin x$ and $x - $ axis between $x = 0$ and $x = 2\pi ,$ is
- A$0$
- B$2\pi \,\, sq. \,unit$
- C$\pi \,\, sq. \,unit$
- ✓$4\pi \,\, sq. \,unit$
$= \int_0^\pi {y\,\,dx + \left| {\int_\pi ^{2\pi } {y\,dx} } \right| = 4\pi \,sq.} \,unit$
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$(x + 2)^{n-1} + (x + 2)^{n-2}. (x + 1) + (x + 2)^{n-3} . (x + 1)^2; + ...... + (x + 1)^{n-1}$ is :