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  • The area of the region bounded by the curve y = x + 1 and the lines x = 2 and x = 3 is A. 7/2 sq units

Q: The area of the region bounded by the curve y = x + 1 and the lines x = 2 and x = 3 is
A. \frac{7}{2}  sq units
B. \frac{9}{2}  sq units
C. \frac{11}{2}  sq units
D. \frac{13}{2}  sq units

Answers (1)

A)

The questions gives y = x + 1 and lines x = 2 and x = 3

Required area

\\ =\int_{2}^{3}(\mathrm{x}+1) \mathrm{d} \mathrm{x} \\ =\left[\frac{\mathrm{x}^{2}}{2}+\mathrm{x}\right]_{2}^{3} \\ =\left(\frac{9}{2}+3-2-2\right) \\ =\frac{7}{2} \mathrm{sq} . \text { units }

 

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