Evaluate the indefinite integral of \(\int \frac{{x^{10}dx}}{{(36-x^{2})^{\frac{13}{2}}}}\):

A) \(\int \frac{{x^{10}dx}}{{(36-x^{2})^{\frac{13}{2}}}}\)
B) \(\int \frac{{x^{10}dx}}{{(36-x^{2})^{\frac{13}{2}}}}\)
C) \(\int \frac{{x^{10}dx}}{{(36-x^{2})^{\frac{13}{2}}}}\)
D) \(\int \frac{{x^{10}dx}}{{(36-x^{2})^{\frac{13}{2}}}}\)