If `x^2 + 3x + 5` is the greatest common divisor of `(x^3 + ax^2 +bx+1) and (2x^3 +7x^2 + 13x + 5)` then find the value of `[a+b].`[Note :[k] denotes greatest integer less than or equal to k.]

int_(0)^(15/2)[x-1]dx= where [x] denotes the greatest integer less than or equal to x

Solve the equation x^(3)-[x]=3 , where [x] denotes the greatest integer less than or equal to x .

Solve the equation x^(3)-[x]=3 , where [x] denotes the greatest integer less than or equal to x .

Solve the equation x^(3)-[x]=3 , where [x] denotes the greatest integer less than or equal to x .

Solve the equation x^(3)-[x]=3 , where [x] denotes the greatest integer less than or equal to x .

Solve the equation x^(3)-[x]=3 , where [x] denotes the greatest integer less than or equal to x .

Let f(x)=x-x^(2) and g(x)=ax . If the area bounded by f(x) and g(x) is equal to the area bounded by the curves x=3y-y^(2) and x+y=3 , then find the value of |[a]| : [Note: denotes the greatest integer less than or equal to k.]

Let f(x)=x-x^(2) and g(x)=ax . If the area bounded by f(x) and g(x) is equal to the area bounded by the curves x=3y-y^(2) and x+y=3 , then find the value of |[a]| : [Note: denotes the greatest integer less than or equal to k.]