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∫_-π/3^π/3 [x sin x] / [cos² x] dx =

1) (1 / 3) (4π + 1) 2) [(4π / 3) - 2 log tan (5π / 12)] 3) [(4π / 3) + log tan (5π / 12)] 4) None of these Solution: (2) [(4π / 3) -... View Article

1) π2/32 2) π2/16 3) π/32 4) None of these Solution: (4) None of these... View Article

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

1) 1 2) 2 3) 3 4) 0 5) 1/2 Solution: (1) 1... View Article

1) 0 2) -2 log(a + 10) 3) 2 log [(a + 10) / (a - 10)] 4) 2 log(a + 10) Solution: (1) 0... View Article

1) 2 - √2 2) 2 + √2 3) √2 - 1 4) -√2 - √3 5) None of these Solution: (5) None of these... View Article

1) 1/2 2) -2 3) 1 4) -1 5) 2 Solution: (5) 2... View Article

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

1) π/3 2) - (5π/3) 3) 4π/3 4) - (π/3) Solution: (2) - (5π/3) y = [2 sin x] in a non - monotonic function in [0, 2π]. The graph f... View Article

1) (π / 8) loge 2 2) (π / 4) log2 e 3) (π / 4) loge 2 4) (π / 8) loge (1 / 2) Solution: (1) (π / 8) loge 2... View Article

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

1) ∫0a f (x) dx 2) ∫0a g (x) dx 3) ∫0a [g (x) - f (x)] dx 4) ∫0a [g (x) + f (x)] dx Solution: (1) ∫0a f (x) dx... View Article

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

1) 0 2) 4/3 3) 2/3 4) 1/5 Solution: (2) 4/3... View Article

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

1) 1/3 2) 1/4 3) 1/8 4) None of these Solution: (3) ⅛... View Article

1) 1/100 2) 100!/(100)100 3) π/100 4) 0 Solution: (4) 0... View Article

(a) 2π (b) π/a (c) π/2 (d) aπ Solution: (c) π/2 , , So, Therefore, , , , ,... View Article

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

1) 160.05 2) 1600.5 3) 16.005 4) None of these Solution: (2) 1600.5... View Article