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Integrals — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsIntegrals1 Mark
MCQ
$\int\left(\sin ^{-1} x+\cos ^{-1} x\right) d x$ is equal to :
  • A
    $\frac{\pi}{2}$
  • B
    $0$
  • ✓
    $\frac{\pi}{2} x+ C$
  • D
    1
✓

Answer

Correct option: C.
$\frac{\pi}{2} x+ C$
(C)
$
\begin{aligned}
\int\left(\sin ^{-1} x+\cos ^{-1} x\right) d x=\int \frac{\pi}{2} \cdot d x & =\frac{\pi}{2} \int d x \\
& =\frac{\pi}{2} \cdot x+C
\end{aligned}
$
Hence option (A) is correct.

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