consider the solid region W situated above the region 0

Question

consider the solid region W situated above the region 0<x<2, 0<y<x (all of them are greater than or equal to), and bounded by the surface z=e^(x^2)

(a) write an integral that evaluates the area of each cross-section of W with vertical planes y=a, where a is a constant in [0,2]. Can you evaluate this integral (as an expression depending on b)?

megannicole51 · Answer

@agent0smith

megannicole51 · Answer

answer: in each cross-sectional plane y=a the interval for x is given by a<x<2, so the area of the cross-sections is the integral from a to 2 of f(x,a)dx= the integral from a to 2 of e^(x^2)dx which cant be evaluated directly