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1. 1 f(x) = sin x + COS X Given , which of the following statements is correct? A) 0, 4 4 2 f(x) is increasing on and decreasing on 7C TT B) f(x) is increasing on C) (0:2) (0) (0) (0:) (3) f(x) is decreasing on D) 1 TT 4 2. f(x) is decreasing on and increasing on E) TT TT - 4 f(x) is decreasing on and increasing on 2. using integration by parts, the convenier x sin x cos x dx To evaluate the integral choice is, A) U = sinx, v' = x COS X B) u = sin 2x, v' = x C) u= x sinx, v' = COS X U=X, V = sin 2x D) E) u= x, v' = cos 2x Sx tan² x dx U = tan x и = x 3. The following method is efficient in computing the integral A) Substitution Method with B) Integration by Parts with v' = sec? x-1 and u = tanx v' = x C) Integration by Parts with and Integration by Parts with u'= tan' x and v= x E) None of the techniques covered so far is efficient. D) ) In(1+x) 4. dx das by Integration by Parts, the convenient (1+x) To evaluate the integral A) u = (1+x)', v' = ln x B) u = (1+x)'. v*= In x © u = ln (1+x), v' = (1+x)? D) u = ln (1+x), v' = (1+x) E) U= In(1+x), v'=(1+x) (1+x) Page 2
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