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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1
∫(x+1)  (x+2)7 (x+3) dx\int \left( {x + 1} \right)\,\,{\left( {x + 2} \right)^7}\,\left( {x + 3} \right)\,dx is equal to
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Correct option: A
(x+2)1010  −  (x+2)88  +  c\frac{{{{\left( {x + 2} \right)}^{10}}}}{{10}}\,\, - \,\,\frac{{{{\left( {x + 2} \right)}^8}}}{8}\,\, + \,\,c
The correct answer is ((x + 2)10)/10 - ((x + 2)8)/8 + c because by rewriting the expression and integrating term by term, we arrive at this result.

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