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8. Find the area of the given region. (a) The region in the first quadrant bounded by \( y=x^{2}, ...
8. Find the area of the given region. (a) The region in the first quadrant bounded by \( y=x^{2}, y=0 \) and \( x=3 \). (b) The region contained between \( f(x)=2 x+8 \) and \( g(x)=x^{2}+5 \). (c) The region contained between \( y=\sqrt{4-x^{2}} \) and \( y=0 \). (d) The region bounded by \( x=1-y^{2} \) and \( x=-3 \). 9. Write a definite integral that could be used to find the area of a right triangle with sides of length 2 and 5.