" 6."x^(2)e^(x)

int_(0)^(prop) x^(6) e^(-(x)/(2))dx is :

Integrate the following rational functions : int(1)/(6e^(2x)+5e^(x)+1)dx

If sum_(i=1)^(6)sin^(-1)x_(i)+cos^(-1)y_(i)=9 pi then int_(Sigma_(i=1)^(6)y_(i))^(6)x ln(1+x^(2))((e^(x))/(1+e^(2x)))dx

int x^(3)e^(ax)dx=(e^(ax))/(a){x^(3)-(3)/(a)x^(2)+(6)/(a^(2))x-(6)/(a^(3))}

Evaluate the integerals. int e ^(x) log (e ^(2x) +5e^(x) +6)dx on R.

Find the 2nd derivative of x^(6).e^(6x) with respect to x.

" (6) "int(e^(2x))/(e^(2x)+1)dx

Find the derivative of (6x^(1//3)+2e^(x)) with respect to 'x'.

Find the derivative of (6x^(1//3)+2e^(x)) with respect to 'x'.

The number of real roots of the equation e^(6x)-e^(4x)-2e^(3x)-12e^(2x)+e^(x)+1=0 is :