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Mathematics 12 Online
OpenStudy (abhisar):

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terenzreignz (terenzreignz):

lol you trolling? :/

OpenStudy (abhisar):

integrate 2e^{10x}.dx

terenzreignz (terenzreignz):

\[\Large \int 2e^{10x}dx\]

OpenStudy (abhisar):

yes...how to solve it ?

terenzreignz (terenzreignz):

If it were \(\large e^x\) instead, could you integrate it? :)

OpenStudy (abhisar):

2\(e^x\) ?

terenzreignz (terenzreignz):

Something like that. The derivative of \(\large e^x\) is itself, after all.

OpenStudy (abhisar):

ok

terenzreignz (terenzreignz):

So, I suggest you make a substitution. To try to turn that 10x exponent into a single variable. Let u = 10x Can you work out the rest/

OpenStudy (abhisar):

are you indicating towards chain rule ?

terenzreignz (terenzreignz):

Yup. Only for integration, though. Are you new to this stuff?

OpenStudy (abhisar):

yes....m not a math guy....

OpenStudy (abhisar):

can u elaborate the step a lill more ?

terenzreignz (terenzreignz):

Let me try another approach. This much is clear, yes? \[\Large \int e^x dx = e^x + C\]

OpenStudy (abhisar):

yes

terenzreignz (terenzreignz):

Okay... This is also clear? \[\Large \int ke^x dx = ke^x + C\]

OpenStudy (abhisar):

yes

OpenStudy (anonymous):

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