`int e^(-x)sec xdx`

int e^x sec e^x dx

(7) int e^(x)*sin xdx

inte^(4x)sin3xdx

int sec^(-1)x dx

Evaluate : int (1-tanx)sec^2xdx .

If int e^(sec x)(sec x tan x f(x)+(sec x tan x + sec^(2) x))dx = e^(sec x)f(x) + C , then a possible choice of f(x) is

If int e^(3x)cos4xdx=e^(3x)(Asin4x+Bcos4x)+C , then:

Consider the integrals I_(1)=overset(1)underset(0)inte^(-x)cos^(2)xdx,I_(2)=overset(1)underset(0)int e^(-x^(2))cos^(2)x dx,I_(3)=overset(1)underset(0)int e^(-x^(2//2))cos^(2)xdx and I_(4)=overset(1)underset(0)int e^(-x^(2//2))dx . The greatest of these integrals, is

int(e^x+1)^2e^xdx

7. int sec^(3)xdx