Exercise
$\int\frac{5x+2}{\sqrt{2x-5}}dx$
Step-by-step Solution
Learn how to solve problems step by step online. Find the integral int((5x+2)/((2x-5)^(1/2)))dx. Expand the fraction \frac{5x+2}{\sqrt{2x-5}} into 2 simpler fractions with common denominator \sqrt{2x-5}. Simplify the expression. The integral 5\int\frac{x}{\sqrt{2x-5}}dx results in: \frac{5\sqrt{\left(2x-5\right)^{3}}}{6}+\frac{25\sqrt{2x-5}}{2}. Gather the results of all integrals.
Find the integral int((5x+2)/((2x-5)^(1/2)))dx
Final answer to the exercise
$\frac{29}{2}\sqrt{2x-5}+\frac{5\sqrt{\left(2x-5\right)^{3}}}{6}+C_0$