JEE MAIN - Mathematics Hindi (2021 - 26th February Evening Shift - No. 20)
Yadi $${I_{m,n}} = \int\limits_0^1 {{x^{m - 1}}{{(1 - x)}^{n - 1}}dx} $$, m ke liye, $$n \ge 1$$, aur
$$\int\limits_0^1 {{{{x^{m - 1}} + {x^{n - 1}}} \over {{{(1 + x)}^{m + 1}}}}} dx = \alpha {I_{m,n}}\alpha \in R$$, tab $$\alpha$$ ke barabar hai ___________.
$$\int\limits_0^1 {{{{x^{m - 1}} + {x^{n - 1}}} \over {{{(1 + x)}^{m + 1}}}}} dx = \alpha {I_{m,n}}\alpha \in R$$, tab $$\alpha$$ ke barabar hai ___________.
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