" (c) "(1)/(x-3)-(1)/(x+5)=(1)/(6),x!=3,-5

solve for x,(1)/(x-3)-(1)/(x+5)=(1)/(6)

Solve: (1)/(x-3)+(1)/(x+5)=(1)/(6) .

((1)/(x-3)-(3)/(x(x^(2)-5x+6)))

Add :5x^(2)-(1)/(3)x+(5)/(2),-(1)/(2)x^(2)+(1)/(2)x-(1)/(3) and -2x^(2)+(1)/(5)x-(1)/(6)

int(x+(1)/(x))^(3/2)((x^(2)-1)/(x^(2)))dx is equal to (A) (1)/(3)(x+(1)/(x))^(3)+C (B)(2)/(5)(x+(1)/(x))^(5/2)

[1+(1)/(x+1)][1+(1)/(x+2)][1+(1)/(x+3)][1+(1)/(x+4)] is (x+5)/(x+1) (b) (x+1)/(x+5) (c) 1+(1)/(x+5) (d) (1)/(x+5)

Assertion (A) : (1)/(5)+(1)/(3.5^(3))+(1)/(5.5^(5))+(1)/(7.5^(7))+…(1)/(2)log((3)/(2)) Reason (R ) : If |x| lt 1 then log_(e )((1+x)/(1-x))=2(x+(x^(3))/(3)+(x^(5))/(5)+…)

Add: (3x^(2) - (1)/(5)x + (7)/(3)) + ((-1)/(4)x^(2) + (1)/(3)x - (1)/(6)) + (-2x^(2) - (1)/(2)x + 5)

3((7x+1)/(5x-3))-4((5x-3)/(7x+1))=11;x!=(3)/(5),-(1)/(7)

If 3f(x)+5f((1)/(x))=(1)/(x)-3 for all non-zero x, then f(x)=(a)(1)/(16)((3)/(x)+5x-6) (b) (1)/(16)(-(3)/(x)+5x-6)(c)(1)/(16)(-(3)/(x)+5x+6) (d) none of these