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Indefinite Integrals question

2017 · Shift 0 · Q39

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PYQ Library
JEE Main
Mathematics
Indefinite Integrals
2017 · Shift 0 · Q39

Indefinite Integrals question

2017 · Shift 0 · Q39

JEE MainMathematicsIndefinite IntegralsMCQ+4 / −1

Let

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

If

{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

A
$\left( {{1 \over 5},0} \right)$
B
$\left( {{1 \over 5}, - 1} \right)$
C
$\left( { - {1 \over 5},0} \right)$
D
$\left( { - {1 \over 5},1} \right)$

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