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Integration MCQs Ch#03 Fsc 2nd Year Math

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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2 comments

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