f(x)=Sin6xcos5x; Evaluate the integration of the given f(x).

Answers (1)

f(x)=sin 6x cos 5x

Rightarrow f(x)=frac2sin 6x cos 5x2

Rightarrow f(x)=frac12*[sin 11x+ sin x ]; ; ; ; ; (ecause 2 sin a cos b=sin (a+b)+sin(a-b)) ]

integrate f(x) w.r.t. x

 int f(x)dx =int frac12*[sin 11x+ sin x ]dx

int f(x)dx = frac12*[frac-111cos 11x+ -cos x ]

int f(x)dx = frac-122*[cos 11x+11cos x ]+k ; ; ; where ; ; k ; ; is ; ; ; constant

 

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