Bihar BoardHindi Mediumकक्षा 12 साइन्सगणितसमाकलन1 Mark
MCQ
$\int\left(\sin ^{-1} x+\cos ^{-1} x\right) d x$ बराबर है-
A
$\frac{\pi}{2}$
B
$0$
✓
$\frac{\pi}{2} x+C$
D
$1$
✓
Answer
Correct option: C.
$\frac{\pi}{2} x+C$
(C) $\frac{\pi}{2} x+C$ $\begin{aligned} \int\left(\sin ^{-1} x+\cos ^{-1} x\right) d x=\int \frac{\pi}{2} \cdot d x & =\frac{\pi}{2} \int d x \\ & =\frac{\pi}{2} \cdot x+ C \end{aligned}$ अतः सही विकल्प (C) है।
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