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The integral of a constant times a function is equal to the constant multiplied by the integral of the function
Learn how to solve definite integrals problems step by step online.
$4\int_{0}^{\pi }\sin\left(x\right)^4dx$
Learn how to solve definite integrals problems step by step online. Integrate the function 4sin(x)^4 from 0 to pi. The integral of a constant times a function is equal to the constant multiplied by the integral of the function. Apply the formula: \int\sin\left(\theta \right)^ndx=\frac{-\sin\left(\theta \right)^{\left(n-1\right)}\cos\left(\theta \right)}{n}+\frac{n-1}{n}\int\sin\left(\theta \right)^{\left(n-2\right)}dx, where n=4. Apply the formula: \int\sin\left(\theta \right)^2dx=\frac{\theta }{2}-\frac{1}{4}\sin\left(2\theta \right)+C. Evaluate the definite integral.