MHT CET20192 May 2019Morning ShiftMathematicsDefinite IntegrationActual
The value of ∫ - 3 3 a x 5 + b x 3 + c x + k d x , where a , b , c , k are constants, depends only on ________
Options
- Aa , b and c
- Bk
- Ca and b
- Da and k
Correct answer
B. k
Step-by-step solution
Let I = ∫ - 3 3 a x 5 + b x 3 + c x + k d x Where, a , b , c and k are constants. = ∫ - 3 3 a x 5 + b x 3 + c x d x + ∫ - 3 3 k d x ( ∵ a x 5 + b x 3 + c x is an odd function) ⇒ I = 0 + 2 ∫ 0 3 k d x