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AP Calculus AB review

ˆ«((lnx)/x)dx
1/2(lnx)^2+c
1/2(lnx)^2
 
 
ˆ«sin^3xcos^4xdx
(-1/5)cos^5x+(1/7)cos^7x+c
(-1/5)cos^5x+(1/7)cos^7x
 
 
ˆ«x^2lnxdx
(1/3)x^3lnx-(1/9)x^3+c
(1/3)x^3lnx-(1/9)x^3
 
 
ˆ«x(7-x)^1/2dx
(-14/3)(7-x)^3/2+(2/5)(7-x)^5/2+c
(-14/3)(7-x)^3/2+(2/5)(7-x)^5/2
 
 
ˆ«(48/(x^2+36))dx
8tan^-1(x/6)+c
8tan^-1(x/6)
 
 
ˆ«tan(5x)dx
(-1/5)ln|sin(5x)|+c
(-1/5)ln|sin(5x)|
 
 
ˆ«sin^-1xdx
Xsin^-1x+(1-x^2)^1/2+c
Xsin^-1x+(1-x^2)^1/2
 
 
ˆ«(40/(x^2+25))dx
8tan^-1(x/5)+c
8tan^-1(x/5)
 
 
ˆ«(36/(x^2+9))dx
12tan^-1(x/3)+c
12tan^-1(x/3)
 
 
ˆ«tan(10x)dx
(-1/10)ln|cos10x|+c
(-1/10)ln|cos10x|
 
 
ˆ«cot(6x)dx
(1/6)ln|sin6x|+c
(1/6)ln|sin6x|
 
 
ˆ«tan^-1xdx
Xtan^-1-(1/2)ln|x2+1|+c
Xtan^-1-(1/2)ln|x2+1|
 
 
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