Final Answer
Step-by-step Solution
Specify the solving method
The trinomial $\left(x^2+2x+1\right)$ is a perfect square trinomial, because it's discriminant is equal to zero
Learn how to solve integral calculus problems step by step online.
$\Delta=b^2-4ac=2^2-4\left(1\right)\left(1\right) = 0$
Learn how to solve integral calculus problems step by step online. Find the integral int(sin(x)(x^2+2x+1))dx. The trinomial \left(x^2+2x+1\right) is a perfect square trinomial, because it's discriminant is equal to zero. Using the perfect square trinomial formula. Factoring the perfect square trinomial. We can solve the integral \int\left(x+1\right)^{2}\sin\left(x\right)dx by applying the method of tabular integration by parts, which allows us to perform successive integrations by parts on integrals of the form \int P(x)T(x) dx. P(x) is typically a polynomial function and T(x) is a transcendent function such as \sin(x), \cos(x) and e^x. The first step is to choose functions P(x) and T(x).