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int 1/(4+5sinx) dx...

`int 1/(4+5sinx) dx`

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int(1)/(1-sinx) dx

A: int (1)/(4+5 sinx)dx=(1)/(3)log|(2tan(x//2)+1)/(2tan(x//2)+4)|+c R : If 0 lt a lt b , then int(dx)/(a+b sin x)=(1)/(sqrt(b^(2)-a^(2)))log|(a tan (x//2)+b-sqrt(b^(2)-a^(2)))/(a tan (x//2)+b+sqrt(b^(2)-a^(2)))|+c

Evaluate: int1/(5-4sinx)\ dx

Evaluate: int1/(5-4sinx)\ dx

int dx/(5+4sinx)

int(1)/(1-sinx) dx =

int(3)/(4-5sinx)dx=

Evaluate the following integrals. int(1)/(5+4sinx)dx

If int1/(5+4sinx)\ dx=Atan^(-1)(Btanx/2+4/3)+C , then A=2/3,\ \ B=5/3 (b) A=1/3,\ \ B=2/3 (c) A=-2/3,\ \ B=5/3 (d) A=1/3,\ \ B=-5/3