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Mathematics: Post your doubts here!

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now A + B/2x+1 + C/x+2 = 4x^2+5x+3 and you know A is 2 so find B and C . (which i am assuming you can do :) )

yeah i can ..... thats where am confused ..... can you please kindly find B in Bx+ C .... cua its here where the problem comes...... i get 3 while answr is 6 i think

and yeah ! thanks alot :)
 
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yeah i can ..... thats where am confused ..... can you please kindly find B in Bx+ C .... cua its here where the problem comes...... i get 3 while answr is 6 i think

and yeah ! thanks alot :)
okay sooooo
its A + B/2x+1 + C/x+2=4x^2 + 5x + 3
and A is 2
so its 2(x+2) + B(x+2) +C(2x+1)=4x^2 + 5x + 3
first take x as -2 so B is zero and find C
then take as -1/2 so C is zero and find B
:)
 
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ok here goes to find the limits of this curve y= sin cube 2x cos cube 2x we will put y=0 as on the x axis y=o
0= cos cube2x sin cube 2x o=sin cube 2x
sin cube 2x = 0 0 = cos cube 2x
x=0 2x=pi/2

x= pi/4

so the limits be pi/4 and 0

by substituting u= sin2x
du/dx = 2cos2x
du= 2cos2x dx

now substituting

(cos cube 2x)( u^3) (1/ 2cos2x) <----------- where this is du
one cos would be cut by the cos in the denominator
u^3 (cos square 2x)/2
remember that cos square x = 1-sin square x
so cos square x = 1-sin square x
so
cos square 2x = 1-sin square 2x
and sin 2x =u
so
cos square 2x= 1- u^2
then the total thing wud be
1/2 integral of u^3(1-u^2)
1/2 integral of u^3 - u^5
1/2 (( u^4)/4 - (u^6)/6)
now open u as sin2x
1/2 (( sin 2x^4)/4 - (sin 2x^6)/6)
1/2 (1/4- 1/6)
1/2 (1/12)
1/24

No need to thank me :p
because i didn't solve it :p
Rutzaba solved it for me :D
 
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ok here goes to find the limits of this curve y= sin cube 2x cos cube 2x we will put y=0 as on the x axis y=o
0= cos cube2x sin cube 2x o=sin cube 2x
sin cube 2x = 0 0 = cos cube 2x
x=0 2x=pi/2

x= pi/4

so the limits be pi/4 and 0

by substituting u= sin2x
du/dx = 2cos2x
du= 2cos2x dx

now substituting

(cos cube 2x)( u^3) (1/ 2cos2x) <----------- where this is du
one cos would be cut by the cos in the denominator
u^3 (cos square 2x)/2
remember that cos square x = 1-sin square x
so cos square x = 1-sin square x
so
cos square 2x = 1-sin square 2x
and sin 2x =u
so
cos square 2x= 1- u^2
then the total thing wud be
1/2 integral of u^3(1-u^2)
1/2 integral of u^3 - u^5
1/2 (( u^4)/4 - (u^6)/6)
now open u as sin2x
1/2 (( sin 2x^4)/4 - (sin 2x^6)/6)
1/2 (1/4- 1/6)
1/2 (1/12)
1/24

No need to thank me :p
because i didn't solve it :p
Rutzaba solved it for me :D
Silent Hunter
 
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and now ii say that this post has been used by more than three ppl that my effort dfint waste :)
 
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