MathematicsMedium64×since 2004Q4025The integral ∫dx(x+4)87(x−3)67\int {{{dx} \over {{{(x + 4)}^{{8 \over 7}}}{{(x - 3)}^{{6 \over 7}}}}}}∫(x+4)78(x−3)76dx is equal to : (where C is a constant of integration)A12(x−3x+4)37+C{1 \over 2}{\left( {{{x - 3} \over {x + 4}}} \right)^{{3 \over 7}}} + C21(x+4x−3)73+CB(x−3x+4)17+C{\left( {{{x - 3} \over {x + 4}}} \right)^{{1 \over 7}}} + C(x+4x−3)71+CC−113(x−3x+4)137+C- {1 \over {13}}{\left( {{{x - 3} \over {x + 4}}} \right)^{{{13} \over 7}}} + C−131(x+4x−3)713+CD-(x−3x+4)−17+C{\left( {{{x - 3} \over {x + 4}}} \right)^{-{1 \over 7}}} + C(x+4x−3)−71+CCheck answerSkip