`f(x)=int(e^(x^(2))(4x^(2)-1))/(x^((3)/(2)))dx`

int e^(x)((1)/(x^(2))-(2)/(x^(3)))dx

int(e^(4x)-1)/(e^(2x))dx

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

int(e^((x)/(2))-1)^(3)e^((x)/(2))dx

"If " int e^(x^(3)+x^(2)-1)(3x^(4)+2x^(3)+2x)dx=f(x)+C, " then the value of " f(1)xxf(-1) " is"-.

int(2e^(x))/(3+4e^(x))dx=

Let f(x)=int e^(x^(2))(x-2)(x-3)(x-4)dx then f increases on (k,k+1) then k is

For integral int f(x- a/x)*(1+a/x^(2))dx , put x-a/x=t For integral int f(x+a/x)*(1-(a)/(x^(2)))dx , put x+a/x =t For integral int f(x^(2)-(a)/(x^(2)))*(x+(a)/(x^(3)))dx , put x^(2)-(a)/(x^(2))=t For integral int f(x^(2)+(a)/(x^(2)))*(x-(a)/(x^(3)))dx , put x^(2)+(a)/(x^(2))=t many integrands can be brought into above forms by suitable reductions or transformations . int(5x^(4)+4x^(5))/((x^(5)+x+1)^(2))dx

int(e^(x)+(1)/(x)+2x^(2)+3)dx