5.4 Indefinite Integrals and the Net Change Theorem/39: Difference between revisions

Revision as of 09:19, 29 August 2022

$\int _{1}^{64}{\frac {1+{\sqrt[{3}]{x}}}{\sqrt {x}}}dx$

$\int _{1}^{64}{\frac {1}{x^{1/2}}}$ + $\int _{1}^{64}{\frac {x^{1/3}}{x^{1/2}}}$

$\int _{1}^{64}x^{-1/2}+x^{1/3-1/2}$

Add one to the exponents and divide by the new exponent

@@ Line 3: / Line 3: @@
 <math>\int_{1}^{64}\frac{1}{x^{1/2}}</math> + <math>\int_{1}^{64}\frac{x^{1/3}}{x^{1/2}}</math>
-<math>\int_{1}^{64}x^{-1/2}+x^{1/3-1/2}</math> Add one to the exponents and divide by the new exponent
+<math>\int_{1}^{64}x^{-1/2}+x^{1/3-1/2}</math>
+Add one to the exponents and divide by the new exponent