Integration by Substitution - (5) : ExamSolutions

In this tutorial you are shown how to integrate an exponential function by using a suitable substitution. For the other integration tutorials and more, goto http://www.examsolutions.co.uk

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Education

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• Integration
• Substitution
• exponential
• functions
• examsolutions
• exam solutions
• A-level
• maths

[naruto2710]

have any vids on intergrating natural logs In

[ExamSolutions]

@naruto2710 Yes - look under integration by parts.

[twidogimbo]

Hi there, when you integrate e^3x^2 why don't you divide by 6x (the differential of 3x^2) ? so, that the final answer is 5e^3x^2/ 12x?

Thanks :)

[ExamSolutions]

@twidogimbo This is a common mistake as you are only allowed to divide by a constant. 6x is not a constant. If you try differentiating 5e^3x^2/ 12x you will not get e^3x^2 which you should if you were correct. Try it. It is the best way of appreciating these concepts. You will need to use the quotient rule.

[ExamSolutions]

Try it by parts and it is extreemly awkward.. By parts works well for axe^bx types

[Sp3LLc4sT3R]

I love you man. This was great!

[summerin115]

@urdream8 integration e^x^4 * e^x , then you use itegration by u subsitution , you put u=e^x , you'll end up having integration exp x^u du = exp^x^4 +C

[Darkassasing]

nice, videos helps me a lot with my calc class XD

[urdream8]

please I need an urgent help

did any one know how to integrate EXP[ x^4 + x ] 

I need it in my programm pleaaaaaaaaaaaassssssssssse help