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GUJCET · Maths · Application of Integrals
The Area of the region bounded by curve \(y=\sin \pi x\) and \(X\)-axis is ____________ sq. units. \(x \in[-1,2]\)
- A \(8 \pi\)
- B \(\frac{8}{\pi}\)
- C \(\frac{6}{\pi}\)
- D \(6 \pi\)
Answer & Solution
Correct Answer
(C) \(\frac{6}{\pi}\)
Step-by-step Solution
Detailed explanation
Area of bound region \(A = \int_{-1}^{2} |\sin \pi x| dx\) \(A = 3 \times \int_{0}^{1} \sin \pi x dx\)
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