C4 Intergration

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  • Created by: Tassillow
  • Created on: 29-05-16 09:32
int(x^n)dx
(x^(n+1))/(n+1)+c
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int(e^x)dx
e^x+c
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int(1/x)dx
ln|x|+c
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int(cosx)dx
sinx+c
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int(sinx)dx
-cosx+c
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int(secx)^2dx
tanx+c
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int(cosecxcotx)dx
-cosecx+c
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int(cosecx)^2dx
-cotx+c
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int(secxtanx)dx
secx+c
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int(f'(ax+b))dx
(1/a)*f(ax+b)+c
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int(ax+b)^ndx
(1/a)*((ax+b)^(n+1))/(n+1)+c
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int(e^(ax+b))dx
(1/a)*e^(ax+b)+c
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int(1/(ax+b))dx
(1/a)*ln|ax+b|+c
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int(cos(ax+b))dx
(1/a)*sin(ax+b)+c
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int(sin(ax+b))dx
(1/a)*-cos(ax+b)+c
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int(sec(ax+b))^2dx
(1/a)*tan(ax+b)+c
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int(cosec(ax+b)cot(ax+b))dx
(1/a)*-cosec(ax+b)+c
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int(cosec(ax+b))^2dx
(1/a)*-cot(ax+b)+c
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int(sec(ax+b)tan(ax+b))dx
(1/a)*sec(ax+b)+c
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int(f'(x)/f(x))dx
ln|f(x)|
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int(f'(x)*[f(x)]^n)dx
(1/(n+1))*[f(x)]^(n+1)+c
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Intergration by parts formula?
int(u*((dv)/(dx)))dx=uv-int(v*((du)/(dx)))dx
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int(tanx)dx
ln|secx|+c
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int(secx)dx
ln|secx+tanx|+c
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int(cotx)dx
ln|sinx|+c
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int(cosecx)dx
-ln|cosecx+cotx|+c
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Equation for volume when y rotated by 360degrees about the x-axis?
pi(int(y)^2dx)
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Equation when (dy)/(dx)=f(x)g(y)?
int(1/(g(y)))dy=int(f(x))dx
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