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  • The area of the region bounded by the curve x = 2y + 3 and the y lines. y = 1 and y = –1 is A. 4 sq units

Q: The area of the region bounded by the curve x = 2y + 3 and the y lines. y = 1 and y = –1 is
A. 4 sq units
B. \frac{3}{2}  sq units
C. 6 sq units
D. 8 sq units

Answers (1)

C)

The question mentions the curve x = 2y + 3 and the lines on y axis y = 1 and y = -1

Required area

\\ =\int_{-1}^{1}(2 y+3) d x \\ =\left[y^{2}+3 y\right]_{-1}^{1} \\ =(1+3-1+3) \\ =6 \text { sq.units } \\

 

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