Second Year Chapter 03 Math Mcqs

PAKMATH November 28, 2020

Ch#03 Fsc 2nd Year Math consists of 100+ multiple choice questions. This portion consist of FSc 2nd year math mcqs with their answers. Prepare these mcqs for for all exams like ECAT, exam and all admission test preparation. Explanation of Mcqs will be provided very soon.Good Luck

Q.1 Differential of y is denoted as

(a) dy '

(b) $\frac{dy}{dx}$

(c) dy

(d) dx

(Lahore board,2007)

c

Q.2 Differential of x is denoted as

(a) 1

(b) $\frac{dx}{dy}$

(c) dy

(d) dx

c

Q.3 Integration is the reverse process of

(a) tabulation

(b) sublimation

(c) classification

(d) differentiation

d

Q.4 For n $\neq$ - 1 , $\int x^{n}$ dx =

(a) $\frac{x^{n+1}}{n}$ + c

(b) $\frac{x^{n-1}}{n-1}$ + c

(c) $\frac{x^{n+1}}{n+1}$ + c

(d) $x^n$ + c

(Lahore board,2008)

c

Q.5 $\int \frac{d}{dx}x^n$ dx =

(a) $\frac{x^{n+1}}{n}$ + c

(b) $\frac{x^{n-1}}{n-1}$ + c

(c) $\frac{x^{n+1}}{n+1}$ + c

(d) $x^n$ + c

d

Q.6 $\int ln xdx =$

(a) x ln x - x

(b) x - x ln x

(c) x $log_a$ x + x

(d) $\frac{1}{x}$ ln x

(Gujranwala board,2007, Lahore board,2008)

a

Q.7 $\int$ sec5x tan5xdx =

(a) 5 sec5x+c

(b) $\frac{1}{5}$ secx+c

(c) $\frac{sec5x}{5}$ +c

(d) $\frac{tan5x}{5}$ +c

(Lahore board,2008)

c

Q.8 $\int$ - sinxdx =

(a) sinx

(b) cosx+c

(c) -cosx+c

(d) - sinx +c

(Lahore board,2007)

b

Q.9 $\int$ cos2xdx=

(a) - 2sin2x+c

(b) 2 sin2x+c

(c) - $\frac{1}{2}$ sin2x +c

(d) $\frac{1}{2}$ sin2x +c

(Lahore Board,2006)

d

Q.10 If n $\neq$ -1 , then $\int [f(x)]^n$ f '(x) dx =

(a) $\frac{[f(x)]^{n-1}}{n}+c$

(b) $\frac{[f(x)]^{n-1}}{n-1}+c$

(c) $\frac{[f(x)]^{n+1}}{n+1}+c$

(d) $n[f(x)]^{n-1}+c$

(Gujranwala board,2005)

c

Q. 11 $\int x^{-1}dx$

(a) 0

(b) $- x^{-2}$

(c) $\frac{x^{-2}}{0}$

(d) lnx + c

(Lahore board,2007)

d

Q.12 $\int cos(\frac{ln sinx}{sinx})dx=$

(a) ln (sinx)²+c

(b) 1\2 ln (sinx)²+c

(c) (lnsinx)²+c

(d) 1\2 (lnsinx)²+c

(Lahore board,2008)

d

Q. 13 $\int e^{nx}dx=$

(a) $e^{nx+1}+c$

(b) $ln \: e^{nx}+c$

(c) $\frac{e^{nx}}{n}+c$

(d) $e^{nx}+c$

(Lahore board,2006)

c

Q.14 $\int x e^{x}dx=$

(a) $x e^{x}+e^{x}+c$

(b) $e^{x}+x+c$

(c) $x e^{x}-e^{x}+c$

(d) $x e^{x}+c$

c

Q.15 $\int \frac{1}{ax+b}dx =$

(a) ln ( ax + b ) +c

(b) a ln ( ax + b ) +c

(c) $\frac{1}{a}$ ln ( ax + b ) +c

(d) $log_a$ ( ax + b ) +c

(Lahore board,2008)

c

Q. 16 $\int \frac{e^{tan^{-1}x}}{1+x^2}dx=$

(a) $e^{secx}+c$

(b) $e^{tanx}+c$

(c) $e^{cot^{-1}x}+c$

(d) $e^{tan^{-1}x}+c$

(Lahore board,2005)

d

Q. 17 $\int a^{x}dx=$

(a) $\frac{a^{x}}{ln\; a}+c$

(b) $\frac{ln\; a}{a^{x}}+c$

(c) $\frac{1}{a^x ln\; a}+c$

(d) $a^x \; ln \; a +c$

(Lahore board,2005, 2008)

a

Q. 18 $\int \frac{1}{1+x^2}dx=$

(a) $tan^{-1}x+c$

(b) $cot^{-1}x+c$

(c) $cos^{-1}x+c$

(d) $sin^{-1}x+c$

(Gujranwala board,2005)

a

Q.19 $\int (e^x+1)dx=$

(a) $e^{x}$

(b) $e^{x}+x+c$

(c) $e^{x}+x^2+c$

(d) $e^{x}+x^3+c$

(Gujranwala board,2007)

b

Q. 20 $\int \frac{dx}{\sqrt{a^2-x^2}}=$

(a) $cos^{-1}(\frac{x}{a})+c$

(b) $sin^{-1}(\frac{x}{a})+c$

(c) $sin^{-1}(\frac{a}{x})+c$

(d) $sin^{-1}x+c$

b

Q.21

(a)

(b)

(c)

(d)

d

Fsc Second Year Math Mcqs