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$\frac{3649\int_{0}^{\frac{\pi}{2}} x\cos\left(x\right)dx}{100}$
Learn how to solve integral calculus problems step by step online. Find the integral (int(xcos(x))dx&0&pi/23649)/100. Simplifying. Rewrite the function \cos\left(x\right) as it's representation in Maclaurin series expansion. Bring the outside term x inside the power serie. When multiplying exponents with same base you can add the exponents: x\frac{{\left(-1\right)}^n}{\left(2n\right)!}x^{2n}.