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The value of ∫₁² dx / [x (1 + x⁴)] is

1) (1 / 4) log (17 / 32) 2) (1 / 4) log (32 / 17) 3) log (17 / 2) 4) (1 / 4) log (17 / 2) Solution: (2) (1 / 4) log (32 / 17)... View Article

1) (π / 2) + 1 2) (π / 2) - 1 3) -1 4) 1 Solution: (2) (π / 2) - 1... View Article

1) e2 2) 2e2 3) 4e2 4) 3e2 Solution: (2) 2e2... View Article

1) [log (16 / 9) + (1 / 6)] 2) [log (16 / 9) - (1 / 6)] 3) 2 log 2 - (1 / 6) 4) log (4 / 3) - (1 / 6) Solution: (2) [log (16 / 9) -... View Article

1) 3/8 2) 1/8 3) -3/8 4) None of these Solution: (1) ⅜... View Article

1) - (8/3) 2) 3/2 3) 8/3 4) None of these Solution: (1) - (8/3)... View Article

1) 9 2) 3 3) 1/9 4) 1/3 Solution: (1) 9... View Article

1) 1 2) √3 3) 2/√3 4) -2/√3 Solution: (2) √3... View Article

1) eπ/4 log 2 2) - eπ/4 log 2 3) (1 / 2) eπ/4 log 2 4) (- 1 / 2) eπ/4 log 2 Solution: (3) (1 / 2) eπ/4 log 2... View Article

1) a/2 2) a/4 3) πa/2 4) πa/4 Solution: (3) πa/2... View Article

1) log 3 2) log 1 3) log 4 4) log 2 Solution: (3) log 4... View Article

1) 1 2) 2 3) -1 4) -2 Solution: (2) 2... View Article

1) π/60 2) π/20 3) π/40 4) π/80 Solution: (1) π/60... View Article

1) log (27 / 32) 2) log (32 / 27) 3) log (8 / 9) 4) log (3 / 4) Solution: (2) log (32 / 27)... View Article

1) [π (b - a)2 / 8] 2) [π (b + a)2] / 8 3) (b - a)2 4) (b + a)2 Solution: (1) [π (b - a)2 / 8]... View Article

1) 2 2) 0 3) -2 4) 4 Solution: (4) 4... View Article

1) f(4) - f(0) 2) f(4) + f(0) 3) f(0) - f(4) 4) None of these Solution: (1) f(4) - f(0)... View Article

1) π/4 2) [(π / 4) + (1 / 2)] 3) [(π /4) - (1 / 2)] 4) 1/2 Solution: (3) [(π /4) - (1 / 2)]... View Article

1) 1/2 2) 1/3 3) 1/4 4) 1/8 Solution: (3) ¼... View Article

a) 12 b) -12 c) -24 d) 6 Solution: p’(1) = 0 and p’(2) = 0 p’(x) = a(x-1)(x-2) p(x) = a[(x3/3)-(3x2/2)+2x]+b p(1) = 8... View Article