Find the integral $\int-\frac{\sin\left(nx\right)}{n^2}dx$

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$-\int\frac{\sin\left(nx\right)}{n^2}dx$

Learn how to solve integration by substitution problems step by step online. Find the integral int(-(sin(nx)/(n^2))dx. Take out the constant -1 from the integral. Take the constant \frac{1}{n^2} out of the integral. We can solve the integral \int\sin\left(nx\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 nx it's a good candidate for substitution. Let's define a variable u and assign it to the choosen part. Now, in order to rewrite dx in terms of du, we need to find the derivative of u. We need to calculate du, we can do that by deriving the equation above.