Please integrate this....
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Good Morning!
put (x+2) = z²
DIFFERENTIATE BOTH SIDES W.R.T x
1 = 2z × dz/dx
dx = 2z dz
=>
integration of x² √(z²) 2z dz
x² = ( z² - 2 )²
=>
integration of
2z² ( z² - 2 )² dz
=>
integration of
2z² ( z⁴ + 4 - 4z² )
=>
integration of
2z^6 + 8z² - 8z⁴
NOW, INTEGRATE
(2/7) z^7 + (8/3) z³ - (8/5) z^5
Now put value of z here we get
(2/7) {√(x+2)}^7 + (8/3) {√(x+2)}³
-(8/5) {√(x+2)}^5
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