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Integrate 21(2x2+x)dx...

Integrate 21(2x2+x)dx

A.

412

B.

312

C.

712

D.

514

Correct answer is C

21(2x2+x)dx

= [2x2+13+x1+12]21

= [2x33+x22]21

= (2(2)33+222)(2(1)33+(1)22)

= (163+2)(23+12)

= 223(16)

= 223+16

= 152

= 712