Question
Evaluate.$$\int_{0}^{2} \frac{x^{3}}{\left(x^{2}+2\right)^{2}} d x$$
Step 1
Step 1: We can rewrite the integral as a sum of two integrals using partial fractions: $$\int_{0}^{2} \frac{x^{3}}{\left(x^{2}+2\right)^{2}} d x = \int_{0}^{2} \frac{Ax}{x^{2}+2} dx + \int_{0}^{2} \frac{Bx}{(x^{2}+2)^{2}} dx$$ Show more…
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