JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

{I_1} = \int\limits_0^1 {{{(1 - {x^{50}})}^{100}}} dx

and

{I_2} = \int\limits_0^1 {{{(1 - {x^{50}})}^{101}}} dx

such that

{I_2} = \alpha {I_1},

then

\mathrm{\alpha }

equals to

View answer and explanation

Correct option: C

\frac{{5050}}{{5051}}

Option D (

\frac{{5050}}{{5051}}

) is correct because it represents the ratio between the two integrals, derived using integration by parts.

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