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int(x+1)(x+2)^7(x+3)dx is equal to (i)(...

`int(x+1)(x+2)^7(x+3)`dx is equal to (i)`(x+2)^10/10-(x+2)^8/8+C` (ii)`(x+1)^2/2-(x+2)^8/8-(x+3)^2/2+C` (iii)`(x+2)^10/10+C` (iv) `(x+1)^2/2+(x+2)^8/8+(x+3)^2/2+C`

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int (x+1)(x+2)^(7)(x+3)dx is equal to a) ((x+2)^(10))/(10) - ((x+2)^(8))/(8) + c b) ((x+1)^(2))/(2) - ((x+2)^(8))/(8) - ((x+3)^(2))/(2) + c c) ((x+2)^(10))/(10) + c d) ((x+1)^(2))/(2) + ((x+2)^(8))/(8) + ((x+3)^(2))/(2) + c

int(x^(2)+x)(x^(-8)+2x^(-9))^(1//10)dx is equal to

int(x^(2)+x)(x^(-8)+2x^(-9))^(1//10)dx is equal to

int(5x^8+7x^6)/(x^2+1+2x^7)^2dx is equal to (a) x/(x^2+1+2x^7)+C (b) x^7/(x^2+1+2x^7)+C (c) x^6/(x^2+1+2x^7)+C (d) x^2/(x^2+1+2x^7)+C

" (8) "quad e=int(x+(1)/(x))^(3/2)((x^(2)-1)/(x^(2)))^(dx)

int(5x^(8)+7x^(6))/(x^(2)+1+2x^(7))dx is equal to (a) (x)/(x^(2)+1+2x^(7))+C( b) (x^(7))/(x^(2)+1+2x^(7))+C (c) (x^(6))/(x^(2)+1+2x^(7))+C(d)x^(2)+1+2x^(7)+C

[int((x+x^(3))^(1/3))/(x^(4))dx" is equal to "],[[" (1) "(3)/(8)((1)/(x^(2))-1)^(4/3)+c," (2) "-(3)/(8)[(1+(1)/(x^(2)))^(4/3)]+c],[" (3) "(1)/(8)(1+(1)/(x^(2)))^(4/3)+c," (4) "(1)/(8)((1)/(x^(2))-1)^(4/3)+c]]

Prove that ^10C_(1)(x-1)^(2)-^(10)C_(2)(x-2)^(2)+^(10)C_(3)(x-3)^(2)+...-^(10)C_(10)(x-10)^(2)=