If \( \int x^{13 / 2} \cdot\left(1+x^{5 / 2}\right)^{1 / 2} d x=P\left(1+x^{5 / 2}\right)^{7 / 2...
If \( \int x^{13 / 2} \cdot\left(1+x^{5 / 2}\right)^{1 / 2} d x=P\left(1+x^{5 / 2}\right)^{7 / 2}+Q\left(1+x^{5 / 2}\right)^{5 / 2}+R\left(1+x^{5 / 2}\right)^{3 / 2}+C \), then \( P, Q \) and \( R \) are
(A) \( P=\frac{4}{35}, Q=-\frac{8}{25}, R=\frac{4}{15} \)
(B) \( P=\frac{4}{35}, Q=\frac{8}{25} \quad, R=\frac{4}{15} \)
(C) \( P=-\frac{4}{35}, Q=-\frac{8}{25}, R=\frac{4}{15} \)
(D) \( P=\frac{4}{35}, Q=-\frac{8}{25}, R=-\frac{4}{15} \)
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