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$\int\frac{3}{2}\left(\frac{1}{16-x^2}\right)dx$
Learn how to solve integral calculus problems step by step online. Find the integral int(1/(16-x^2)3/2)dx. Simplifying. Simplify \frac{3}{2}\left(\frac{1}{16-x^2}\right). Factor the difference of squares \left(16-x^2\right) as the product of two conjugated binomials. We can solve the integral \int\frac{3}{2\left(4+x\right)\left(4-x\right)}dx by applying integration by substitution method (also called U-Substitution). First, we must identify a section within the integral with a new variable (let's call it u), which when substituted makes the integral easier. We see that 4-x it's a good candidate for substitution. Let's define a variable u and assign it to the choosen part.