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Integrate the function $y\sin\left(x\right)$ from 0 to $2\pi $

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Final Answer

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$\int_{0}^{2\pi } y\sin\left(x\right)dx$

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$\int_{0}^{2\pi } y\sin\left(x\right)dx$

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Learn how to solve integral calculus problems step by step online. Integrate the function ysin(x) from 0 to 2*pi. Simplifying. The integral of a constant times a function is equal to the constant multiplied by the integral of the function. Apply the integral of the sine function: \int\sin(x)dx=-\cos(x). Evaluate the definite integral.

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Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

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Function Plot

Plotting: $y\sin\left(x\right)$

Main Topic: Integral Calculus

Integration assigns numbers to functions in a way that can describe displacement, area, volume, and other concepts that arise by combining infinitesimal data.

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