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Let {I}_{{n}}={{}^{{n}}{x}}{.{d}{x}.},{({n}>{1})} If {I}_{{4}}

Question

Let $I_{n} = \int tan^{n} x d x, (n > 1)$ If $I_{4} + I_{6} = a tan^{5} x + b x^{5} + C,$ Where $C$ is a constant of integration, then the ordered pair $(a, b)$ is equal to :

(\frac{5}{1}, - 1)

(- \frac{1}{5 , 0})

(- \frac{1}{5}, 1)

(\frac{1}{5}, 0)

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Owen Discussed

Let

I_{n} = \int tan^{n} x d x, (n > 1)

I_{4} + I_{6} = a tan^{5} x + b x^{5} + C,

Where

C

is a constant of integration, then the ordered pair

(a, b)

is equal to :

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Question Text

Let

I_{n} = \int tan^{n} x d x, (n > 1)

I_{4} + I_{6} = a tan^{5} x + b x^{5} + C,

Where

C

is a constant of integration, then the ordered pair

(a, b)

is equal to :

Filo tutor solution