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If P(x) is a cubic polynomial with P(1)=3,P(0)=2 and P(-1)=4, then `underset(-1)overset(1)fP(x)dx` isA. 2B. 3C. 4D. 5 |
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Answer» Correct Answer - D `Let P(x)-ax^(3)+bx^(2)+cx+d` a+b+c+d=3 d=2 -a+b-c+d4 2b+2d=7 2b+4=7 2b=3 `b=(3)/(2)` `underset(-1)overset(1)(f)(ax^(3)+bx^(2)+cx+d)dx` `2underset(0)overset(1)(f)(bx^(2)+d)dx` `=2((b)/(3)+d)` `=2((1)/(2)+2)=5` |
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