∫3x2exdx=?∫3x2exdx=?
A. 6x+6ex+c6x+6ex+c
B. (3x2+6x)ex+c(3x2+6x)ex+c
C. (3x2−6x+6)ex+c(3x2−6x+6)ex+c
D. 3x2ex+c3x2ex+c
সঠিক উত্তরঃ
C.
(3x2−6x+6)ex+c(3x2−6x+6)ex+c
Explanation: ∫3x2exdx=ex.3x2−∫6x.exdx+c1=ex.3x2−6x.ex+∫6exdx+c1+c2=ex(3x2−6x+6)+c
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