Indefinite Integrals

JEE Main 2017 · Session, Shift 1 · Q4006

MathematicsMedium64×since 2004Q4006

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

MathematicsMedium64×since 2004Q4006

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

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