If ( 1+x^2 +x)^ 10 ( 1+x^2 -x)^9 dx = 1 m (( 1+x^2 +x)^n(n 1+x^2 -x) )+c where C is the constant of...

Question

If ( 1+x^2 +x)^ 10 ( 1+x^2 -x)^9 dx = 1 m (( 1+x^2 +x)^n(n 1+x^2 -x) )+c where C is the constant of integration and m, n N , then m + n is equal to _____.

Accepted Answer

379

JEE Main 2025 Mathematics question

Solution