If f(x) = ∫ (5x⁸ + 7x⁶)/((x² + 1 + 2x⁷)²)dx,(x ≥ 0),f(0) = 0 and f(1) = 1/K, then the value of K is

Integral Calculus: JEE Main 2021 Mathematics question

JEE Main 2021 · 18 Mar, Morning shift · Q35

JEE Main 202118 Mar, Morning shiftMathematicsMediumIntegral Calculus369× since 2002

f(x) = \int {{{5{x^8} + 7{x^6}} \over {{{({x^2} + 1 + 2{x^7})}^2}}}dx,(x \ge 0),f(0) = 0}

and

f(1) = {1 \over K}

, then the value of K is

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2021 · 18 Mar, Morning shift · Q35

JEE Main 202118 Mar, Morning shiftMathematicsMediumIntegral Calculus369× since 2002

f(x) = \int {{{5{x^8} + 7{x^6}} \over {{{({x^2} + 1 + 2{x^7})}^2}}}dx,(x \ge 0),f(0) = 0}

and

f(1) = {1 \over K}

, then the value of K is

Your answerType your answer. Integers and decimals are accepted.