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Apply the formula: $\int cxdx$$=c\int xdx$, where $c=39$ and $x=\cos\left(3x\right)^2$
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$39\int\cos\left(3x\right)^2dx$
Learn how to solve classer les expressions algébriques problems step by step online. int(39cos(3x)^2)dx. Apply the formula: \int cxdx=c\int xdx, where c=39 and x=\cos\left(3x\right)^2. We can solve the integral \int\cos\left(3x\right)^2dx 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 3x 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. Isolate dx in the previous equation.