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$\int \frac{7 x^{13} + 5 x^{15}}{{(x^{7} + x^{2} + 1)}^{3}}$ equals

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x14x7+x2+12+C

x142x7+x2+12+C

x7x7+x2+12+C

x72x7+x2+12+C

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detailed solution

Correct option is B

∫7x13+5x15x7+x2+13dx =∫7x13x7+x2+1−x147x6+2xx7+x2+13dx =∫ddxx142x7+x2+12dx =x142x7+x2+12+C

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∫7x13+5x15x7+x2+13 equals

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$\int \frac{7 x^{13} + 5 x^{15}}{{(x^{7} + x^{2} + 1)}^{3}}$ equals