5.4 Indefinite Integrals and the Net Change Theorem/13: Difference between revisions

Latest revision as of 19:39, 21 September 2022

$\int (\sin(x)+\sinh(x))dx=-\cos(x)+\cosh(x)+C$

${\text{Note: }}\int \sinh(x)dx=\cosh(x)+C$

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-<math>\int_{}^{}(\sin(x)+\sinh(x))dx \qquad \qquad \qquad \qquad \text{Indefinite integrals used }</math> <br><br><math>=\int_{}^{}(\sin(x))dx+\int_{}^{}(\sinh(x))dx</math> <br><br>
+<math>\int(\sin(x)+\sinh(x))dx =-\cos(x)+\cosh(x)+C</math>
-<math>=-\cos(x)+\cosh(x)+c</math> <br><br>
-<br><br>
-<math>\text{Indefinite integrals used }</math> <br><br>
-<math>\int_{}^{}(\sin(x))dx=-\cos(x)+C</math> <br><br>
+<math>\text{Note: } \int\sinh(x)dx=\cosh(x)+C</math>
-<math>\int_{}^{}(\sinh(x))dx=\cosh(x)+C</math>