Let I n = ∫ tan ⁿx dx, (n > 1). If I₄ + I₆ = a tan ⁵ x + b x⁵ + C, where C is a constant of integration, then the ordered pair (a,b) is equal to

Integral Calculus: JEE Main 2017 Mathematics question

JEE Main 2017 · Session, Shift 1 · Q4006

JEE Main 2017Session, Shift 1MathematicsMediumIntegral Calculus369× since 2002

Let

{I_n} = \int {{{\tan }^n}x\,dx} ,\,\left( {n > 1} \right).

{I_4} + {I_6}

a{\tan ^5}x + b{x^5} + C

, where C is a constant of integration, then the ordered pair

\left( {a,b} \right)

is equal to

JEE Main 2017 · Session, Shift 1 · Q4006

JEE Main 2017Session, Shift 1MathematicsMediumIntegral Calculus369× since 2002

Let

{I_n} = \int {{{\tan }^n}x\,dx} ,\,\left( {n > 1} \right).

{I_4} + {I_6}

a{\tan ^5}x + b{x^5} + C

, where C is a constant of integration, then the ordered pair

\left( {a,b} \right)

is equal to