Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Integrate using trigonometric identities
- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using basic integrals
- Product of Binomials with Common Term
- FOIL Method
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Simplifying
Learn how to solve definite integrals problems step by step online.
$\int_{5}^{10}\left(3x+\ln\left(\frac{16x}{5}\right)\right)dx$
Learn how to solve definite integrals problems step by step online. Integrate the function 3x+ln((2x*8)/5) from 5 to 10. Simplifying. Expand the integral \int_{5}^{10}\left(3x+\ln\left(\frac{16x}{5}\right)\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int_{5}^{10}3xdx results in: \frac{225}{2}. The integral \int_{5}^{10}\ln\left(\frac{16x}{5}\right)dx results in: 15.7944154.