Final Answer
Step-by-step Solution
Specify the solving method
Simplify $\sin\left(bx\right)\cos\left(bx\right)$ into $\frac{\sin\left(2bx\right)}{2}$ by applying trigonometric identities
Learn how to solve problems step by step online.
$\int\frac{\sin\left(2bx\right)}{2}dx$
Learn how to solve problems step by step online. Solve the trigonometric integral int(sin(bx)cos(bx))dx. Simplify \sin\left(bx\right)\cos\left(bx\right) into \frac{\sin\left(2bx\right)}{2} by applying trigonometric identities. Take the constant \frac{1}{2} out of the integral. Divide 1 by 2. We can solve the integral \int\sin\left(2bx\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 2bx it's a good candidate for substitution. Let's define a variable u and assign it to the choosen part.