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Learn how to solve definite integrals problems step by step online.
$\int_{\pi }^{\frac{\pi}{2}}\sin\left(x\right)\cos\left(x\right)dx$
Learn how to solve definite integrals problems step by step online. Integrate the function sin(x)cos(x) from pi to pi/2. Simplifying. Simplify \sin\left(x\right)\cos\left(x\right) into \frac{\sin\left(2x\right)}{2} by applying trigonometric identities. Since the upper limit of the integral is less than the lower one, we can rewrite the limits by applying the inverse property of integration limits: If we invert the limits of an integral, it changes sign: \int_a^bf(x)dx=-\int_b^af(x)dx. Take the constant \frac{1}{2} out of the integral.