Qualification > Math
Pure math(p3)
twilight:
--- Quote from: ITS MEE... on May 28, 2009, 02:43:25 pm ---can u integrate
sin^3xcosx
please :'(
--- End quote ---
how didya solv it?
ITS MEE...:
well wnever u see an ODD one ie unfamiliar and kind of compound just try to differentiate one of them and if u get the other (regardless of the power or something like a number multiplied or divided by it then u intergrate the one u differentiated
:-\ hope its a bit clear
Astarmathsandphysics can u explain it a bit more or make it less vague? please
louis:
ii) Find a vector equation for the line of intersection between two planes :
2x -y - 3z= 7 and x + 2y + 2z=0
Solution : The normal vectors of 2 planes are n1= ( 2,-1,-3) and n2= (1,2,2)
These 2 vectors form a new plane.
The normal vector of this new plane is ( 2,-1,-3) X (1,2,2) = (4, -7, 5)
The normal vector is parallel to the line of intersection of the 2 planes.
So the direction vector for the line of intersection of 2 planes is a ( 4, -7, 5 )
Now we have to find the position vector of a point on the line of intersection
In the equations of 2x - y -3z= 7 and x + 2y + 2z = 0,there are 3 unknowns.
Reduce to 2 equations with 2 unknowns only by putting x=0 or y=0 or z=o
We choose y=0
Solve for x and z in the equations 2x -3Z = 7
x + 2Z = 0
we get Z = -1 x = 2
So the vector equation for the line of intersection of 2 planes is
r= 2i -k + a( 4,-7 , 5 )
twilight:
ooo i think i get wut iu mean ITS ME..
so is it (1/4)(sin4x) ?
astarmathsandphysics:
--- Quote from: ITS MEE... on May 28, 2009, 02:49:27 pm ---oh i got it no need to solve it but can u integrate this
(1+tanx)^4 sec^2x
--- End quote ---
Substitute u=1+tanx to get u^4dv ans=1/5(1+tanx)^5
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