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Learn how to solve integral calculus problems step by step online. Find the integral int((x^4+20x^3150x^2)/12sin(3x))dx. Multiplying the fraction by \sin\left(3x\right). Take the constant \frac{1}{12} out of the integral. Divide 1 by 12. We can solve the integral \int\left(x^4+20x^3+150x^2\right)\sin\left(3x\right)dx by applying the method of tabular integration by parts, which allows us to perform successive integrations by parts on integrals of the form \int P(x)T(x) dx. P(x) is typically a polynomial function and T(x) is a transcendent function such as \sin(x), \cos(x) and e^x. The first step is to choose functions P(x) and T(x).
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
Integration assigns numbers to functions in a way that can describe displacement, area, volume, and other concepts that arise by combining infinitesimal data.