JEE MainMathematicsIndefinite IntegralsMCQ+4 / −1The integral ∫2x12+5x9(x5+x3+1)3dx\int {{{2{x^{12}} + 5{x^9}} \over {{{\left( {{x^5} + {x^3} + 1} \right)}^3}}}} dx∫(x5+x3+1)32x12+5x9dx is equal to :Ax52(x5+x3+1)2+C{{{x^5}} \over {2{{\left( {{x^5} + {x^3} + 1} \right)}^2}}} + C2(x5+x3+1)2x5+CB−x102(x5+x3+1)2+C{{ - {x^{10}}} \over {2{{\left( {{x^5} + {x^3} + 1} \right)}^2}}} + C2(x5+x3+1)2−x10+CC−x5(x5+x3+1)2+C{{{-x^5}} \over {{{\left( {{x^5} + {x^3} + 1} \right)}^2}}} + C(x5+x3+1)2−x5+CDx102(x5+x3+1)2+C{{ {x^{10}}} \over {2{{\left( {{x^5} + {x^3} + 1} \right)}^2}}} + C2(x5+x3+1)2x10+CAttempt in chatSharePreviousNextMore from Indefinite IntegralsThe integral ∫x2(x4+1)3/4dx equals :2015 · MCQThe integral ∫(1+x−x1)ex+x1dx is equal to2014 · MCQIf ∫f(x)dx=ψ(x), then ∫x5f(x3)dx is equal to2013 · MCQIf the ∫tanx−25tanxdx=x+aln∣sinx−2cosx∣+k, then a is equal to :2012 · MCQThe value of 2∫sin(x−4π)sinxdx is2008 · MCQ∫cosx+3sinxdx equals2007 · MCQ∫{1+(logx)2(logx−1)}2dx is equal to2005 · MCQIf ∫sin(x−α)sinxdx=Ax+Blogsin(x−α),+C, then value of (A,B) is2004 · MCQ