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(Solved): Evaluate the following definite integral. \[ \int_{0}^{1} \frac{48}{x^{2}-36} d x \] Find the parti ...




Evaluate the following definite integral.
\[
\int_{0}^{1} \frac{48}{x^{2}-36} d x
\]
Find the partial fraction decomposition
Evaluate the following definite integral. \[ \int_{0}^{1} \frac{48}{x^{2}-36} d x \] Find the partial fraction decomposition of the integrand. \[ \int_{0}^{1} \frac{48}{x^{2}-36} d x=\int_{0}^{1} 11 d x \] Evaluate the definite integral. \[ \int_{0}^{1} \frac{48}{x^{2}-36} d x= \] (Type an exact answer.)


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Given that, ?01(48x2?36)dx Let 48x2?36=48x2?62=48(x+6)(x?6) The form of partial fraction decomposition is 48(x+6)(x?6)=Ax?6+Bx+6
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