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Indefinite Integrals question

2021 · 18 Mar · Shift 1 · Q45
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  5. /2021 · 18 Mar · Shift 1 · Q45

Indefinite Integrals question

2021 · 18 Mar · Shift 1 · Q45

JEE MainMathematicsIndefinite IntegralsNumerical+4 / −1
If f(x)=∫5x8+7x6(x2+1+2x7)2dx,(x≥0),f(0)=0f(x) = \int {{{5{x^8} + 7{x^6}} \over {{{({x^2} + 1 + 2{x^7})}^2}}}dx,(x \ge 0),f(0) = 0}f(x)=∫(x2+1+2x7)25x8+7x6​dx,(x≥0),f(0)=0 and f(1)=1Kf(1) = {1 \over K}f(1)=K1​, then the value of K is
Numerical answer
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