PBTE | DAE | MATH-223 APPLIED MATHEMATICS-I | MCQs | Chapter : 09 Definite Integrals and Applications

DAE MATH-223

Contents

1. Applied Mathematics-II
   1. Chapter 9 : Definite Integrals and Applications
   2. Multiple Choice Questions
   3. Chapter:09 (Definite Integrals and Applications)
   4. Question 1:
   5. Question 2:
   6. Question 3:
   7. Question 4:
   8. Question 5:
   9. Question 6:
   10. Question 7:
   11. Question 8:
   12. Question 9:
   13. Question 10:
2. Quiz Results

Applied Mathematics-II

Chapter 9 : Definite Integrals and Applications

DAE Common Technologies | Second Year

Multiple Choice Questions

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• Chapter 9 (Definite Integrals and Applications)

Chapter:09 (Definite Integrals and Applications)

Question 1:

$\int_{0}^{1} \,dx =$

-1 0 1 2

Question 2:

$\int_{0}^{π/4}\, {{sec}^2}x \,dx =$

1 2 Zero 3

Question 3:

If lower and upper limits of $\int_{a}^{b}\,f(x)\,dx$ are replaced by each other then we get

$\int_{a}^{b}\, f(x) \,dx$ $-\int_{b}^{a}\, f(x) \,dx$ $\pm\;\int_{a}^{b}\, f(x) \,dx$ $\int_{b}^{a}\, f(x) \,dx$

Question 4:

$\int_{2}^{3}\, \frac{2x\;dx}{{x^2}+1}$

$\ln{2}$ $\ln{10}-\ln{6}$ $\ln{({x^2}+1)}$ $\ln{10}+\ln{6}$

Question 5:

$\int_{1}^{3}\,{e^{2x}}\,dx$

${e^6}-{e^2}$ ${\frac{1}{2}}{({e^6}-{e^2})}$ $\frac{e^{2x}}{2}$ ${\frac{1}{2}}{({e^6}+{e^2})}$

Question 6:

$\int_{1}^{2}\,{3{x^2}}\,dx =$

7 8 6 9

Question 7:

$\int_{0}^{1}\, {\frac{1}{{x^2}+1}} \,dx =$

$\frac{π}{4}$ $0$ $1$ $-\frac{π}{4}$

Question 8:

$\int_{0}^{1}\,{\frac{1}{x{\sqrt{{x^2}-1}}}}\,dx =$

$-1$ $1$ $0$ $-\frac{π}{2}$

Question 9:

$\int_{\frac{π}{3}}^{\frac{π}{2}}\,{\frac{{{cosec}^2}x}{cot x}}\,dx =$

$2$ $\sqrt{3}$ $\frac{1}{\sqrt{3}}$ $\ln{\frac{1}{\sqrt{3}}}$

Question 10:

$\int_{0}^{\frac{π}{2}}\,{cot x}\,dx =$

$-1$ $1$ $0$ $\frac{π}{2}$

Quiz Results

Total Questions:

Correct Answers:

Incorrect Answers:

Percentage:

Chapter 1 Chapter 2 Chapter 3 Chapter 4 Chapter 5 Chapter 6 Chapter 7 Chapter 8 Chapter 9 Chapter 10 Chapter 11 Chapter 12

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INSTRUCTOR

MUHAMMAD BIN JAMEEL

BSC ENGG. CIVIL