evaluate $$ \int\limits_{-3}^3\frac{x}{9-x^2}dx $$ or show that it diverges. See problem If f(x) tends to infinity at both a and b, then we define $$ \int\limits_{a}^{b}f\left(x\right)\,dx=\int\limits_{a}^{c}{f\left(x\right)}\,dx+\int\limits_{c}^{b}f\left(x\right)\,dx $$ where c is any point between a and b, provided of course that both the latter integrals converge. Otherwise, we say that the given integral diverges. Use this to evaluate $$ \int\limits_{-3}^3\frac{x}{\sqrt{9-x^2}}dx $$ or show that it diverges. jelaskan dengan lengkap dan rinci dengan bahasa indonesia

evaluate $$ \int\limits_{-3}^3\frac{x}{9-x^2}dx $$ or sho ...

\int\limits_{-3}^3\frac{x}{9-x^2}dx

\int\limits_{a}^{b}f\left(x\right)\,dx=\int\limits_{a}^{c}{f\left(x\right)}\,dx+\int\limits_{c}^{b}f\left(x\right)\,dx

\int\limits_{-3}^3\frac{x}{\sqrt{9-x^2}}dx