# Mathematics MCQS for class 12 with Answers Chapter 3

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? Cosec x dx= _________
ln |Cosecx – Tan x| + c
ln |Sin x + Cot x| + c
ln |Cosec x+ Cot x| + c
ln |Cosec x – Cot x| + c

? 1/?a2 -x2 dx =
1/a ln|ax+b| + c
cos-1 x + c
sin-1 x+c
cos-1(x/a) + c

?ex(Sinx + Cosx)dx=_________
exTan x + c
exCosx+c
ex Sin x + c
exSec x + c

The solution of dy = dx /?(
y= Sin x + c
Inverse operations
y= Tan-1x + c
y= Cos x + c

The solution of the differential equation dy/dx + y =0 is
y= Sin-1x + c
y = e-x + c
y = -cex
y = -ex + c

? inx dxis equals to:
%lnx -x + c
x – x ln x+c
x ln x + x+ c
1/x lnx + c

The differentiate of y is given by
dy=f'(x)
y= cx + 1
None of these
dy/dx = f'(x)

The solution of dy / y2 + 1 = ex dx is
y= Sin(ex + c)
y= Cos(ex+ c)
y= Cot(ex+ c)
1/a Tan (ax+b)+c

?ex[lnx+1/x]dx=_________
ln x + ex + c
lnx – ex+ c
Initial value conditions
ex/x +c

? Sec(ax+b)Tan(ax+b)dx= _________
1/a Tan(ax+b) + c
1/a Cosec(ax+b) + c
1/b Tan(ax+b)
-1/a Cos(ax+b)+c

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