- #1
jaychay
- 58
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I am really struck with this question.
Thank you in advance.
MHB Can Integration by Parts Solve This Tricky Question?
- Thread starter jaychay
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The discussion centers on solving a challenging integration problem using integration by parts. The user proposes letting u = x^3 and dv = x^2√(x^3 + 1) for the integration by parts approach. An alternative method suggested involves using substitution with t = x^3 + 1. Participants are encouraged to provide assistance and insights on the effectiveness of these methods. The conversation highlights the complexity of the integration question and the various strategies that can be employed.
I am really struck with this question.
Thank you in advance.
- #2
skeeter
- 1,103
- 1
Using integration by parts, I would let
$u = x^3$ and $dv=x^2\sqrt{x^3+1}$Alternatively, one could use the same setup for the method of substitution letting $t= x^3+1$
$u = x^3$ and $dv=x^2\sqrt{x^3+1}$Alternatively, one could use the same setup for the method of substitution letting $t= x^3+1$
Hello!
I tried to calculate projections of curl using rotation of coordinate system but I encountered with following problem.
Given:
##rot_xA=\frac{\partial A_z}{\partial y}-\frac{\partial A_y}{\partial z}=0##
##rot_yA=\frac{\partial A_x}{\partial z}-\frac{\partial A_z}{\partial x}=1##
##rot_zA=\frac{\partial A_y}{\partial x}-\frac{\partial A_x}{\partial y}=0##
I rotated ##yz##-plane of this coordinate system by an angle ##45## degrees about ##x##-axis and used rotation matrix to...
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