| Concepts | Problems | General Integration |
|---|---|---|
|
uv - ∫v du
Continue the equation ∫u dv =
|
xe^x-e^x+c
What is solution to ∫ xe^x dx
|
1
What is solution to ∫〖2x dx〗from 0 to 1
|
|
Continuous derivatives
What is required condition for the u and v functions of x in order for the integration by parts to be possible?
|
e^x (x^3-3x^2+6x-6) +C
What is solution to ∫ (x^3)(e^x) dx
|
1/9 sin^3(3x)+C
What is solution to ∫sin^2(3x)cos(3x) dx
|
|
arccos(ax)
What is u in ∫ x^n(arccos(ax)) dx
|
(6x-x^3)cosx + (3x^2-6)sinx +C
What is solution to ∫x^3 sinx dx
|
2/5(x^1/2)(x^2+5x+35)+C
What is solution to ∫(x^2+3x+7)/(x^.5)
|
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