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Home / Aptitude Tests / Further Mathematics / >Evaluate: \(\int(2x...
>Evaluate: (2x+1)3dx...

>Evaluate: (2x+1)3dx

A.

8(2x+1)2+k

B.

6(2x+1)2+k

C.

18(2x+1)4+k

D.

16(2x+1)4+k

Correct answer is C

Using substitution method, Let u=2x+1

dudx=2==>du=2dx==>dx=du2

=u32du=12u3du

=12(u44)=u48