KCET · Maths · Area Under Curves
The area bounded by the curve \(y=\sin \left(\frac{x}{3}\right), x\) axis, the lines \(x=0\) and \(x=3 \pi\) is
- A 9 sq. units
- B \(\frac{1}{3}\) sq. units
- C 6 sq. units
- D 3 sq. units
Answer & Solution
Correct Answer
(C) 6 sq. units
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & \int_0^{3 \pi} \sin \left(\frac{x}{3}\right) d x \\ & \left(-3 \cdot \cos \frac{x}{3}\right)_0^{3 \pi}=(-3(-1))-(-3(1))=6\end{aligned}\)
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