{(x+2)/(6)-((11-x)/(3)-(1)/(4))}=(3x-4)/(12)

3+(x)/(4)=(1)/(2)(4-(x)/(3))-(5)/(6)+(1)/(3)(11-(x)/(2))

Simplify: ((3)/(11)x(5)/(6))-((9)/(12)x(4)/(3))+((5)/(13)x(6)/(15))

Observe the following pattern (1x2)+(2x3)=(2x3x4)/(3)(1x2)+(2x3)+(3x4)=(3x4x5)/(3)(1x2)+(2x3)+(3x4)+(4x5)=(4x5x6)/(3) and find the of (1x2)+(2x3)+(3x4)+(4x5)+(5x6)

(6x-7)/(2)+(9-2x)/(5)=12+(x)/(4)-(2)/(3)+(4x)/(3)

Solve the following system of inequations: (5x)/(4)+(3x)/(8)gt(39)/(8) . and (2x-1)/(12)-(x-11)/(3)lt(3x+1)/(4) .

If (1)/(1(1)/(4)) + ( 1)/( 6(2)/(3)) - ( 1)/( x) + ( 1)/( 10) = (11)/( 12) , then find the value of x

Prove that : 1/6tan^(-1)""(2x)/(1-x^2)+1/9tan^(-1)""(3x-x^2)/(1-3x^2)+1/12 tan^(-1)""(4x-4x^3)/((1-6x^2+x^4))= tan^(-1)x

Coefficient of x^(11) in the expansion of (1+x^(2))^(4)(1+x^(3))^(7)(1+x^(4))^(12) is -

int sqrt(x)(1+x^(1/3))^(4)dx is equal to (A) 2{(1)/(9)x^(2/3)+(4)/(11)x^(11/6)+(6)/(13)x^(13/6) (B) 6{(1)/(9)x^(2/3)-(4)/(11)x^(11/6)+(6)/(13)x^(13/6) (C) 6{(1)/(9)x^(3/2)+(4)/(11)x^(11/6)+(6)/(13)x^(13/6)+(4/15)x^(5/2)+(1/17)x^(17/6) (D) 6{(1)/(9)x^(2/3)+(4)/(11)x^(11/6)+(6)/(13)x^(13/6)