`The area bounded by the curve y=sin^(-1 (sin x and x -axis for x in 0 50 pi is`
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Answer:
The area bounded by the curve y=sinx between x=0 and x=2π is
A
1 sq unit
B
2 sq unit
C
4 sq unit
D
8 sq unit
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Solution To Question ID 640356
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Correct option is
C
4 sq unit
Given curve is y=sinx between x=0 and x=2π
∴ Required area
=∫
0
π
∣sinx∣dx+∫
π
2π
∣sinx∣dx
=∫
0
π
sinxdx+∫
π
2π
(−sinx)dx
(∵sinx≥0forx∈[0,π]andsinx≤0forx∈[π,2π])
=[−cosx]
0
π
+[cosx]
π
2π
=−cosπ+cos0+cos2π−cosπ
=−(−1)+1+1−(−1)
=4 sq unit
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Answer:
Given curve is y=sinx between x=0 and x=2π
∴ Required area
=∫
0
π
∣sinx∣dx+∫
π
2π
∣sinx∣dx
=∫
0
π
sinxdx+∫
π
2π
(−sinx)dx
(∵sinx≥0forx∈[0,π]andsinx≤0forx∈[π,2π])
=[−cosx]
0
π
+[cosx]
π
2π
=−cosπ+cos0+cos2π−cosπ
=−(−1)+1+1−(−1)
=4 sq unit
Step-by-step explanation:
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