If y= x^ 2 -x+1 and for n > 1, I_ n = x^ n / y d x and aI 3 + bI 2 + cI 1 = x 2 y, then…
Mathematics · JEE Advanced · NTA Exams — Integral Calculus
If \(y=\sqrt{x^{2}-x+1}\) and for n > 1, \(I_{n}=\int x^{n} / y d x\) and
aI3 + bI2 + cI1 = x2y, then (a, b, c) is equal to
aI3 + bI2 + cI1 = x2y, then (a, b, c) is equal to
- \(\left(\frac{3}{2}, \frac{1}{2},-1\right)\)
- (1, –1, 1)
- \(\left(3,-\frac{5}{2}, 2\right)\)
- \(\left(\frac{1}{2},-\frac{1}{2}, 1\right)\)
Answer
(C) (3,- 5 2 , 2 )
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