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Expand the fraction $\frac{\sin\left(x^2\right)-120\cos\left(x\right)+120}{x}$ into $3$ simpler fractions with common denominator $x$
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$\int\left(\frac{\sin\left(x^2\right)}{x}+\frac{-120\cos\left(x\right)}{x}+\frac{120}{x}\right)dx$
Learn how to solve integral calculus problems step by step online. Find the integral int((sin(x^2)-120cos(x)+120)/x)dx. Expand the fraction \frac{\sin\left(x^2\right)-120\cos\left(x\right)+120}{x} into 3 simpler fractions with common denominator x. Simplify the expression. The integral \int\frac{\sin\left(x^2\right)}{x}dx results in: \sum_{n=0}^{\infty } \frac{{\left(-1\right)}^nx^{\left(4n+2\right)}}{\left(4n+2\right)\left(2n+1\right)!}. The integral -120\int\frac{\cos\left(x\right)}{x}dx results in: -120\left(x+\frac{-x^3}{18}+\frac{x^5}{600}+\frac{-x^7}{35280}\right).
