Final Answer
Step-by-step Solution
Specify the solving method
Divide $4x^2-7$ by $2x+3$
Learn how to solve definite integrals problems step by step online.
$\begin{array}{l}\phantom{\phantom{;}2x\phantom{;}+3;}{\phantom{;}2x\phantom{;}-3\phantom{;}\phantom{;}}\\\phantom{;}2x\phantom{;}+3\overline{\smash{)}\phantom{;}4x^{2}\phantom{-;x^n}-7\phantom{;}\phantom{;}}\\\phantom{\phantom{;}2x\phantom{;}+3;}\underline{-4x^{2}-6x\phantom{;}\phantom{-;x^n}}\\\phantom{-4x^{2}-6x\phantom{;};}-6x\phantom{;}-7\phantom{;}\phantom{;}\\\phantom{\phantom{;}2x\phantom{;}+3-;x^n;}\underline{\phantom{;}6x\phantom{;}+9\phantom{;}\phantom{;}}\\\phantom{;\phantom{;}6x\phantom{;}+9\phantom{;}\phantom{;}-;x^n;}\phantom{;}2\phantom{;}\phantom{;}\\\end{array}$
Learn how to solve definite integrals problems step by step online. Integrate the function (4x^2-7)/(2x+3) from -1 to 3. Divide 4x^2-7 by 2x+3. Resulting polynomial. Expand the integral \int_{-1}^{3}\left(2x-3+\frac{2}{2x+3}\right)dx into 3 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int_{-1}^{3}2xdx results in: 8.