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Ann [662]
2 years ago
13

What is 9 + 10? (You have to say the right thing)

Mathematics
2 answers:
Andru [333]2 years ago
8 0

Answer:

<em>9</em><em>+</em><em>10</em><em>=</em><em>19</em>

<em>have</em><em> </em><em>a nice day</em><em>.</em><em>.</em>

nexus9112 [7]2 years ago
3 0

Answer:

21

Step-by-step explanation:

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Looking for I_2:

\text{If}~u=\cos(2x)\to du=-2\sin(2x)dx~\text{and}~dv=e^xdx\to v=e^x:\\\\&#10;I_2=e^x\cos(2x)-\int e^x(-2\sin(2x))dx\\\\ I_2=e^x\cos(2x)+2\int e^x(\sin(2x))dx\\\\  I_2=e^x\cos(2x)+2\int e^x(2\sin(x)\cos(x))dx\\\\ I_2=e^x\cos(2x)+4\int e^x(\sin(x)\cos(x))dx=e^x\cos(2x)+4I

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2I=e^x\sin(2x)-2I_2\iff\\\\2I=e^x\sin(2x)-2(e^x\cos(2x)+4I)\iff\\\\&#10;2I=e^x\sin(2x)-2e^x\cos(2x)-8I\iff\\\\&#10;10I=e^x\sin(2x)-2e^x\cos(2x)\iff\\\\&#10;I=\dfrac{e^x}{10}(\sin(2x)-2\cos(2x))\\\\&#10;\boxed{\int e^x(\sin(x)\cos(x))dx=\dfrac{e^x}{10}(\sin(2x)-2\cos(2x))+C}
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