Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Integrate using basic integrals
- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using trigonometric identities
- Product of Binomials with Common Term
- FOIL Method
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Rewrite the fraction $\frac{\ln\left(y\right)}{\sqrt{y}}$ inside the integral as the product of two functions: $\frac{1}{\sqrt{y}}\ln\left(y\right)$
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$\int_{4}^{9}\frac{1}{\sqrt{y}}\ln\left(y\right)dy$
Learn how to solve problems step by step online. Integrate the function ln(y)/(y^1/2) from 4 to 9. Rewrite the fraction \frac{\ln\left(y\right)}{\sqrt{y}} inside the integral as the product of two functions: \frac{1}{\sqrt{y}}\ln\left(y\right). We can solve the integral \int\frac{1}{\sqrt{y}}\ln\left(y\right)dy 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.