`x^(-(7)/(2))times2x^(-(1)/(2))`

If 49x^(2)-b=(7x+(1)/(2))(7x-(1)/(2)), then the value of b is

If 49x^(2)-b=(7x+(1)/(2))(7x-(1)/(2)), then the value of b is

x^(2)+(1)/(x^(2))-7(x-(1)/(x))+8

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

If y=(x^(7/2)+x^(-1/2))/(x^(7/2)-x^(-1/2)) , then (dy)/(dx)=

(1-2x+x^(2))/(1-x^(3))times(1+x+x^(2))/(1+x)

Express the following in the lowest terms. ((2x^(2)+1)/(x-1)+(x-1)/(x+1))xx((x^(2)-1)/(2x)):

[((-2)/(-3))times(1)/(5)]times((-2)/(7))=((-2)/(-3))times[(1)/(5)times((-2)/(7))]

Evaluate : x^7 times x^6 times x^(-2 ) times x^(-1 ) times x^5 =