" 5."2x^(2)+(7)/(2)x+(3)/(4)

Find the coefficient of x^(-7)" in "((2x^(2))/(3)-(5)/(4x^(5)))^(7)

Find the coefficient of x^(-7)" in "((2x^(2))/(3)-(5)/(4x^(5)))^(7)

Take away: (7)/(4)x^(3)+(3)/(5)x^(2)+(1)/(2)x+(9)/(2) om (7)/(2)-(x)/(3)-(x^(2))/(5)

Differentiate wrto x: (5x^(2)+6x+7)/(2x^(2)+3x+4)

Take away (9)/(2)+(x)/(2)+(3)/(5)x^(2)+(7)/(4)x^(3) from (7)/(2)-(x)/(3)-(x^(2))/(5)

(5x^(2)+6x+7)/(2x^(2)+3x+4)

int (2x ^ (3) + 3x ^ (2) + 4x + 5) / (2x + 1) dx equls to: (A) (x ^ (3)) / (2) + (x ^ (2)) / (2) +3 (x) / (2) + (7) / (4) ln (2x + 1) + C (B) 5 (x ^ (3)) / (2) + 6 (x) / (2) + (7) / (4) ln (2x + 1) + C (C) 3 (x ^ (3)) / (2) + 3 (x ^ (2)) / (2) + (7 ) / (4) ln (2x + 1) + C (D) (x ^ (2)) / (2) + 3 (x) / (2) + (7) / (4) ln (2x + 1) + C

Evaluate int((8x+13)/(sqrt(4x+7)))dx(A)(1)/(3)(4x+7)^((3)/(2))-(1)/(2)(4x+7)^((1)/(2))+c(B)(1)/(6)(4x+7)^((5)/(2))-(2)/(3)(4x+7)^((3)/(2))+c(C)(1)/(3)(4x+7)^((5)/(2))-(1)/(2)(4x+7)^((3)/(2))+c(D)(4x+7)^((3)/(2))-(1)/(2)(4x+7)^((1)/(2))+c

int(4x^(5)-7x^(4)+8x^(3)-2x^(2)+4x-7)/(x^(2)(x^(2)+1)^(2))dx

Simplify : (i) (5x - 9y) - (-7x + y) (ii) (x^(2) -x) -(1)/(2)(x - 3 + 3x^(2)) (iii) [7 - 2x + 5y - (x -y)]-(5x + 3y -7) (iv) ((1)/(3)y^(2) - (4)/(7)y + 5) - ((2)/(7)y - (2)/(3)y^(2) + 2) - ((1)/(7)y - 3 + 2y^(2))