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$\int\left(\left(1+x^2\right)\left(1-x^2\right)-\left(2x+3\right)^2\right)dx$
Learn how to solve problems step by step online. Integrate the function (1+x^2)(1-x^2)-(2x+3)^2. Find the integral. Solve the product of difference of squares \left(1+x^2\right)\left(1-x^2\right). Expand the expression \left(2x+3\right)^2 using the square of a binomial: (a+b)^2=a^2+2ab+b^2. Multiply the single term -1 by each term of the polynomial \left(4x^{2}+12x+9\right).