Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Integrate using basic integrals
- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using trigonometric identities
- Product of Binomials with Common Term
- FOIL Method
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Simplifying
Learn how to solve definite integrals problems step by step online.
$\int_{\frac{\pi}{2}}^{\left(\frac{5\pi}{2}\right)^2} x\sin\left(x\right)dx$
Learn how to solve definite integrals problems step by step online. Integrate the function xsin(x) from pi/2 to ((5*pi)/2)^2. Simplifying. Calculate the power \left(\frac{5\pi}{2}\right)^2. We can solve the integral \int x\sin\left(x\right)dx by applying integration by parts method to calculate the integral of the product of two functions, using the following formula. First, identify or choose u and calculate it's derivative, du.