NDA2010MathematicsIndefinite IntegrationActual
If x^2 x d x= x^2 m x+ x^3 n +c , then what are the values of m and n respectively? where c is a constant of integration.
Options
- A1 / 3,-1 / 9
- B3,-9
- C3,9
- D3,3
Correct answer
B. 3,-9
Step-by-step solution
aligned & x^2 x d x= x^3 m x+ x^3 n +c & x^2 3 x- 1 x x^3 3 d x= x^3 3 x+ x^3 9 +c aligned On comparing. m=3, n=-9