2cos(e^(x))=5^(x)+5^(-x)

e^(5x)+e^(-5x)=

e^(5x)+e^(-5x)=

int (e^(4x)-2e^(3x)+5e^(x)-2)/(e^(x)+1)dx

Evaluate the following integrals using properties of integration : int_(-5)^(5) x cos ((e^(x)-1)/(e^(x)+1))dx

int_(-2)^(-1) sqrt(5+x)(sin^(-1)(e^(x))+cos^(-1)(e^(x)))dx

Prove that cos 2xcos(x/2)-cos 3x cos((9x)/2)= sin5x sin((5x)/2) .

1/(e^(3x))(e^x+e^(5x))=a_0+a_1x+a_2x^2+........=>2a_1+2^3a_3+2^5a_5+......=

If f(x)=|{:(2^(-x),e^(x log_(e)2),x^(2)),(2^(-3x),e^(3x log_(e)2),x^(4)),(2^(-5x),e^(5x log_(e)2),1):}| then show that f(x) is symmetric about origin

Prove that: cos2x cos(x/2)-cos3x cos((9x)/2)=sin5x sin((5x)/2)