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QUESTION. It is know that if m s f(x)

QUESTION. It is know that if m f(x) s M for a s x b, then -a) fab s -a). Use this property to estimate the integrals: (Hint: find the constants m and M for each function in each integral) f 3 Ldx i. 3x + 3)dx; ii. r n (x 2 sin(x))dx; iii. tan(x)dx. iv. Jn/6 QUESTION. Use the Fundamental Theorem of Calculus to evaluate the integrals: n (2 sin(x) ex )dx; i. f1 -pdx., ii. + r)3dr; iii. sin(x) if O s x < n/2 f(x)dx where f (x) = iv. cos(x) if n/2 s x s QUESTION. Find the indefinite integral: i. f(xl 3 + 7x2 5)dx; f {""Fdx, ii. 2 1+1)dx, iii. cos(t) sin(t)dt. QUESTION. Evaluate the integral if it exists: i. folx2cosx3dx; 1 ii. dx. QUESTION. Sketch the region enclosed by the curves and find its area 1 Y = x and y = a ii. y = tan(x) and y = 2sin(x), n/3 x s n/3.