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Integrate the function $x^4\sin\left(x\right)$ from $-\frac{\pi }{3}$ to $\frac{\pi }{3}$

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$\int_{-\frac{\pi}{3}}^{\frac{\pi}{3}} x^4\sin\left(x\right)dx$

Learn how to solve definite integrals problems step by step online.

$\int_{-\frac{\pi}{3}}^{\frac{\pi}{3}} x^4\sin\left(x\right)dx$

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Learn how to solve definite integrals problems step by step online. Integrate the function x^4sin(x) from -pi/3 to pi/3. Simplifying. We can solve the integral \int x^4\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 u and calculate du. Now, identify dv and calculate v.

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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

Solve integral of x^4sinxdx from -3.1416/3 to \pi /3 using basic integralsSolve integral of x^4sinxdx from -3.1416/3 to \pi /3 using u-substitutionSolve integral of x^4sinxdx from -3.1416/3 to \pi /3 using tabular integrationIntegrate using trigonometric identities

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Function Plot

Plotting: $x^4\sin\left(x\right)$

Main Topic: Definite Integrals

Given a function f(x) and the interval [a,b], the definite integral is equal to the area that is bounded by the graph of f(x), the x-axis and the vertical lines x=a and x=b

Used Formulas

See formulas (5)

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