Evaluate the following integrals: (i) `int((1-cos2x)/(1+cos2x))dx` (ii) `int((1+cos2x)/(1-cos2x))dx`
Answered Feb 05, 2023
Correct Answer - (i) `tanx-x+C` (ii) `-cotx-x+C`
Correct Answer - (i) `(1)/(2)x-(1)/(4)sin2x+C` (ii) `(1)/(2)x+(1)/(4)sin2x+C`
Correct Answer - (i) `(1)/(2)x+(1)/(2)sinx+C` (ii) `-2cot(x//2)-x+C`
Correct Answer - (i) `(1)/(2)x-(sin2nx)/(4n)+C` (ii) `-cosx-(cos^(5)x)/(5)+(2cos^(3))/(3)+C`
Correct Answer - `(1)/(3)sin(3x+5)-(1)/(9)sin^(3)(3x+5)+C`
Correct Answer - `(1)/(2)cos(3-2x)-(1)/(14)cos^(7)(3-2x)-(1)/(2)cos^(3)(3-2x)+(3)/(10)cos^(5)(3-2x)+C`
Correct Answer - (i) `2"tan"(x)/(2)-x+C` (ii) `-2"cot"(x)/(2)-x+C`
Correct Answer - `(-cos7x)/(14)+(cosx)/(2)+C`
Correct Answer - `xcosalpha-sin*log|cos(x+alpha)|+C`
Correct Answer - `(x^(1-n))/((1-n))*log|x|-(x^(1-n))/((1-n)^(2))+C`
Correct Answer - `(logx)[log(logx)-1]+C`
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