If x ^ 11 / 2 (1+ x ^ 5 / 2 )^ 1 / 2 dx = A (1+ x ^ 5 / 2 )^ 7 / 2 + B (1+ x ^ 5 / 2 )^ 5…
Mathematics · JEE Main · NTA Exams — Integral Calculus
If \(\int \mathrm{x}^{11 / 2}\left(1+\mathrm{x}^{5 / 2}\right)^{1 / 2} \mathrm{dx}=\mathrm{A}\left(1+\mathrm{x}^{5 / 2}\right)^{7 / 2}+\mathrm{B}\left(1+\mathrm{x}^{5 / 2}\right)^{5 / 2}+\mathrm{C}\left(1+\mathrm{x}^{5 / 2}\right)^{1 / 2}\) , then
- \(A=-\frac{4}{35}, B=-\frac{8}{25}, C=\frac{4}{15}\)
- \(A=\frac{4}{35}, E=\frac{8}{25}, C=\frac{4}{15}\)
- \(A=\frac{+4}{35}, B=\frac{-8}{25}, C=\frac{+4}{15}\)
- None of these
Answer
(C) A= +4 35 , B= -8 25 , C= +4 15
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