76
56
−56
−76
Correct answer is D
Expanding (x+1)(x−2)=x2−2x+x−2=x2−x−2
∫0−1(x2−x−2)dx=[x33−x22−2x]0−1
= [03−02−2×0−(−133−−122−2×−1)]
= 0+13+12−2=−76
Note: This can also be solved using integration by parts.
∫uvdx=u∫vdx−∫u′(∫vdx)dx.
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