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Rewrite the fraction $\frac{\cos\left(\sqrt{x}\right)}{\sqrt{x}}$ inside the integral as the product of two functions: $\frac{1}{\sqrt{x}}\cos\left(\sqrt{x}\right)$
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$\int_{1}^{4}\frac{1}{\sqrt{x}}\cos\left(\sqrt{x}\right)dx$
Learn how to solve definite integrals problems step by step online. Integrate the function cos(x^1/2)/(x^1/2) from 1 to 4. Rewrite the fraction \frac{\cos\left(\sqrt{x}\right)}{\sqrt{x}} inside the integral as the product of two functions: \frac{1}{\sqrt{x}}\cos\left(\sqrt{x}\right). We can solve the integral \int\frac{1}{\sqrt{x}}\cos\left(\sqrt{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.