# Mathematics MCQS for class 12 with Answers Chapter 3

Mathematics MCQS for class 12 with Answers

? ax dx =
ax lna +c
lna/ax + c
l/anlna + c
ax/lna + c

The conditions through which the orbitrary constants involving in the differential equation can be determined is called
1/2 (ln Sin x)2+ c
n-initial value conditions
Final value condition
none

?sec2 x/ tan  dx + ?cosec2x/cotx dx =
in tan x + c
In cot x + c
2 in cot x + c
2 in tan x + c

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

?lnx dx= ______________
ln x + x + c
ln |Sec x+ Tan x| + c
x lnx + x + c
xln x + c

?ex [Cos x -sin x] dx =
1/a eax+b+ c
ex tanx + c
ex Sin + c
eax sinx + c

1/b ln|ax-b| + c
1/b ln|ax+b| + c
3
(ax+b)/b+c

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

If
Derivative
Integrand
Differential
Integral

If 2?1 (3x2 +2x – k) dx = 12 then k =
0
1
-1
y = ce-x

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