पुढील समीकरणे सोडवा.
`((3x-4)^(3)-(x+1)^(3)) /((3x-4)^(3)+(x+1)^(3)) =61/189`

int(x^(3)+3x^(2)+3x+1)/((x+1)^(5))dx=

Solve the following simultaneous equations. (1)/(3x + y) + (1)/(3x - y) = (3)/(4) , (1)/(2(3x + y)) - (1)/(2(3x - y)) = - (1)/(8)

Without expanding, find the value of: (i) (x + 1)^4 - 4(x + 1)^3 (x - 1) + 6(x + 1)^2 (x - 1)^2 - 4(x + 1) (x - 1)^3 + (x -1)^4 (ii) (2x - 1)^4 + 4(2x - 1)^3 (3 - 2x) + 6(2x - 1)^2 (3 - 2x)^2 + 4(2x - 1) (3 - 2x)^3 + (3 - 2x)^4

(4)/(x-y) + (1)/(x + y) = 3 , (2)/(x - y) - (3)/(x + y) = 5

Solve the following simultaneous equations. (1)/(2(3x+4y))+(1)/(5(2x-3y))=(1)/(4) , (5)/((3x+4y)) - (2)/((2x-3y))=(3)/(2)