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Learn how to solve definite integrals problems step by step online.
$\int_{0}^{\frac{\pi}{2}} t^2\sin\left(y\right)^3dy$
Learn how to solve definite integrals problems step by step online. Integrate the function t^2sin(y)^3 from 0 to pi/2. Simplifying. 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 x=y and n=3. Apply the integral of the sine function: \int\sin(x)dx=-\cos(x).