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7.2 definite integral — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMaths7.2 definite integral1 Mark
MCQ
$\int_{ - 1}^1 {{{\sin }^{11}}x\,dx} $ is equal to
  • A
    $\frac{{10}}{{11}}.\frac{8}{9}.\frac{6}{7}.\frac{4}{5}.\frac{2}{3}$
  • B
    $\frac{{10}}{{11}}.\frac{8}{9}.\frac{6}{7}.\frac{4}{5}.\frac{2}{3}.\frac{\pi }{2}$
  • C
    $1$
  • ✓
    $0$
✓

Answer

Correct option: D.
$0$
d
(d) Since $f(x) = {\sin ^{11}}x$ is an odd function, 

therefore $\int_{ - 1}^1 {{{\sin }^{11}}x\,\,dx} = 0$.

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