Asked by Kevin
                Evaluate the following indefinite integrals.
Show all steps please
A) ∫xe^x^2+10 dx
b) ∫(1/2x+x)(ln(x)+x^2)^10 dx
            
        Show all steps please
A) ∫xe^x^2+10 dx
b) ∫(1/2x+x)(ln(x)+x^2)^10 dx
Answers
                    Answered by
            Reiny
            
    done yesterday
http://www.jiskha.com/display.cgi?id=1363367296
    
http://www.jiskha.com/display.cgi?id=1363367296
                    Answered by
            Kevin
            
    the first one is on the link, but not the second one
    
                    Answered by
            Reiny
            
    hint:
let's differentiate ( lnx + x^2)^11
we would get
11 (lnx + x^2)^10 ( 1/x + 2x)
= 11( lnx + x^2)^10 (2)( 1/(2x) + x)
= (11/2) ( 1/(2x) + x) (lnx + x^2)^10
mmmmhhh?
    
let's differentiate ( lnx + x^2)^11
we would get
11 (lnx + x^2)^10 ( 1/x + 2x)
= 11( lnx + x^2)^10 (2)( 1/(2x) + x)
= (11/2) ( 1/(2x) + x) (lnx + x^2)^10
mmmmhhh?
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