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$If f (x) = \int \frac{5 x^{8} + 7 x^{6}}{{(x^{2} + 1 + 2 x^{7})}^{2}} d x, and f (0) = 0, then the value$ $of f (1) is$

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Correct option is B

f(x)=∫5x8+7x6x142+1x7+1x52dx=∫5x6+7x82+1x7+1x52dx Put, 2+1x7+1x5=t⇒ f(x)=−∫dtt2=1t+c=x72x7+x2+1+cf(0)=0⇒ c=0⇒ f(x)=x72x7+x2+1⇒ f(1)=14

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If f(x)=∫5x8+7x6x2+1+2x72dx, and f(0)=0, then the value of f(1) is

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$If f (x) = \int \frac{5 x^{8} + 7 x^{6}}{{(x^{2} + 1 + 2 x^{7})}^{2}} d x, and f (0) = 0, then the value$ $of f (1) is$