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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1
The integral ∫dx(x+4)8/7(x−3)6/7\int {\frac{{dx}}{{{{\left( {x + 4} \right)}^{8/7}}{{\left( {x - 3} \right)}^{6/7}}}}} is equal to (where CC is a constant of integration)
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Correct option: C
(x−3x+4)1/7+C{\left( {\frac{{x - 3}}{{x + 4}}} \right)^{1/7}} + C
Option C is correct because the integral is solved by substitution, resulting in the given expression plus a constant of integration.

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