MATA30H3 Final: MATA30 Final Exam 2010

• School: UTSC
• Department: Mathematics
• Course: MATA30H3
• Professor: All

Document Summary

Sketch the graph of a: ( 6 points, (8 points) . Evaluate the integral: (5 points) x sin x, ( 8 points) f (x) = x "arctanx . b) y = x2 + 4x. Carefully indicate domain, symmetry, points of x and y intercepts, asymptotes, critical points, points of inflection, concavity. xi sinxi. %x as a definite integral on the interval [0, Use the fundamental theorem of calculus to find the derivative of the function g(x) = lntcost dt. Sketch the region enclosed by integrate with respect to x or y and then find the area of the region. y2 = 2x + 6 . Evaluate the given integrals: ( 35 points) x "1 dx , x +1 (sinx)ecosx dx cos2 xsin3 xdx dx dx x3 "2x + x. 2x2 " 4x + 3 x3 +1 x "1 ln(lnx) x. Evaluate the given integrals. (half page for each) a) dx dx dx.