Integration MCQs Ch#03 Fsc 2nd Year Math

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Q. 11  \int x^{-1}dx

(a)     0

(b)    - x^{-2}

(c)    \frac{x^{-2}}{0}

(d)     lnx + c

(Lahore board,2007)

Check Answer
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)

Check Answer
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)

Check Answer
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

Check Answer
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)

Check Answer
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)

Check Answer
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)

Check Answer
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)

Check Answer
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)

Check Answer
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

Check Answer
b
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