integral of 1/(a sinx + b cosx + c)

Type 5: Integration OF [ ( a sinx + b cosx ) / c sinx + d cosx) ] || Partial fraction based question

INDEFINITE INTEGRATION Shortcut || Integration of Form (a Sinx + b Cos x)/(c Sin x+ d Cos x)

The number of distinct roots of |(sinx, cosx, cosx),(cosx, sinx, cosx),(cosx,cosx,sinx)|=0 in the interval -pi/4 le x le pi/4 is (A) 0 (B) 2 (C) 1 (4) 2

If sinx + cosx = a, then the value of| sinx - cosx| is

Evaluate : { sinx / ( 1 + cosx ) + sinx/( 1 - cosx ) } = ?

The number of distinct real roots of |(sinx,cosx,cosx),(cosx,sinx,cosx),(cosx,cosx,sinx)|=0 in the interval -pi/4 le x le pi/4 is (a) 0 (b) 2 (c) 1 (d) 3

Evaluate the following integrals: int(dx)/((2sinx+cosx+3))

If sinx-cosx=1 , where 'x' is an acute angle ,the value of (sinx+cosx) is :

Evaluate the following integrals: inte^(x)(sinx+cosx)dx