\text{ If } \int { (\sqrt{1+x^2}+x) ^{10}}/{ (\sqrt{1+x^2}-x) ^9} \dx =\frac{1}{m} ( (\sqrt{1+x^2}+x) ^n (n \sqrt{1+x^2}-x) ) +C where C is the constant of integration and m, n \in \mathbb{N}, then m+n is equal to \_\_\_\_ . [4 Apr 2025 Shift 2]

Indefinite Integrals

Section: Mathematics

Question : 8 of 89

Marks: +1, -0

‌‌ If ‌∫‌

(√1+x2+x)10

(√1+x2−x)9

‌dx
‌‌=‌

((√1+x2+x)n(n√1+x2−x))+C
where C is the constant of integration and m, n∈ℕ, then m+n is equal to ____ .

[4 Apr 2025 Shift 2]

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