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1 πsin(πx)+C 1 π sin (π x) + C. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.

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Call f_0(x)= x^2- \frac{x}{2} + \frac{49}{16} + \cos 4 \pi x. You have shown that the range of f_0 is [2 , + \infty) (that's because f_0 is continuous and \lim_{x \to + \infty} f_0(x)= + \infty ...

Apr 14, 2023 · In mathematical form, the integral of cos (πx) is: $∫\cos (πx)dx =\frac {\sin (πx)} {π} + c {2}lt;/p> Where c is any constant involved, dx is the coefficient of integration and ∫ is the symbol of integral. Also, the integral of cos (lnx) can be calculated by replacind cos (πx) with cos (ln x). How to calculate the integral of cos (πx)?

Use the common integral: ∫ cos (u) d u = sin (u) = − p i sin (u) Substitute back u = p i x = − p i sin ( p i x ) Add a constant to the solution = − p i sin ( p i x ) + C

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