This quiz works best with JavaScript enabled. Home > Class 12 > Class 12 Mathematics Chapter 7 Integrals – Quiz 9 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 12 Mathematics Chapter 7 Integrals Quiz 9 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Given the demand function, $D(x)=9-x^2$ $S(x)=x^2+1$ A) 2. B) RM5.33. C) 5. D) RM1.33. Show Answer Correct Answer: B) RM5.33. 2. Which country is NOT in South America? A) Uruguay. B) Brazil. C) Peru. D) Mexico. Show Answer Correct Answer: D) Mexico. 3. The velocity of a particle moving along an axis is given by v(t)=2-t$^{2}$ for t>0, what is the average velocity of the particle from t=1 to t=3? A) -4. B) -3. C) 8/3. D) -7/3. Show Answer Correct Answer: D) -7/3. 4. What does c represent in an indefinite integral? A) A variable. B) A coefficient. C) A constant. D) None of these. Show Answer Correct Answer: C) A constant. 5. Find the particular solution:If F'(x) = 4x and F(1) = 6, then F(2) = A) 6. B) 8. C) 9. D) 12. Show Answer Correct Answer: D) 12. 6. Evaluate $\int_{-\infty}^{\infty}\frac{x}{\left(x^2+3\right)^2}dx$ A) Diverges. B) 0. C) -2. D) 4. Show Answer Correct Answer: B) 0. 7. $\int_{ }^{ }\left(\sin^2\left(x\right)+\cos^2\left(x\right)\right)dx$ A) $\frac{\sin^3\left(x\right)}{3}+\frac{\cos^3\left(x\right)}{3}+C$. B) $x+C$. C) $\frac{\sin^3\left(x\right)}{3}-\frac{\cos^3\left(x\right)}{3}+C$. D) Can not integrate. Show Answer Correct Answer: B) $x+C$. 8. Integrate $\int\left(-20x^3-6x^{-3}\right)dx$ A) $-5x^4+\frac{3}{x^2}+C$. B) $-20x^4-\frac{6}{x^2}+C$. C) $-5x^3+\frac{3}{x^3}+C$. D) $-20x^4+\frac{3}{2}+C$. Show Answer Correct Answer: A) $-5x^4+\frac{3}{x^2}+C$. 9. Find the area indicated by the following integral:$\int_0^{12}\left(4x\right)dx$ A) 144. B) 288. C) 72. D) 48. E) 0. Show Answer Correct Answer: B) 288. 10. Evaluate:$\int_0^3\frac{3}{x}dx$ A) 1. B) $3e$. C) $e^3$. D) Divergent. Show Answer Correct Answer: D) Divergent. 11. The correct formula for Trapezoidal Rule of the definite integral $\int_a^bydx$ $y=f\left(x\right)$ A) $\frac{b-a}{n}\left[y_0+y_n+2\left(y_1+y_2+ +y_{n-1}\right)\right]$. B) $\frac{b-a}{2n}\left[y_0+y_n+y_1+y_2+ +y_{n-1}\right]$. C) $\frac{b-a}{2n}\left[y_0+y_n+2\left(y_1+y_2+ y_{n-1}\right)\right]$. D) $\frac{b-a}{n}\left[y_0+y_n+\left(y_1+y_2+ +y_{n-1}\right)\right]$. Show Answer Correct Answer: C) $\frac{b-a}{2n}\left[y_0+y_n+2\left(y_1+y_2+ y_{n-1}\right)\right]$. 12. Find the area under a curve $5x^4+3x+7$ A) 1200. B) 1134. C) 1/12. D) 1076. Show Answer Correct Answer: D) 1076. 13. $\int\frac{3}{x+2}dx$ A) $3\ln\left|x+2\right|+c$. B) $3\ln\left|x\right|+c$. C) $\ln\left|x+2\right|+c$. D) $3\left(x+2\right)+c$. Show Answer Correct Answer: A) $3\ln\left|x+2\right|+c$. 14. What is the answer to page 7, #2? A) A. B) B. C) C. D) D. E) E. Show Answer Correct Answer: A) A. 15. Find the expression that would represent the area under the curve $f\left(x\right)=3x^2-2x$ A) $\int_1^5\left(3x^2-2x\right)dx$. B) $\int_5^1\left(3x^2-2x\right)dx$. C) $\int_1^5\left(6x-2\right)dx$. D) $\int_1^5\left(x^3-x^2\right)dx$. Show Answer Correct Answer: A) $\int_1^5\left(3x^2-2x\right)dx$. 16. The demand function, $D(x)=10-x^2$ $S\left(x\right)=x^2+x$ A) $x=2, y=6$. B) RM5.33. C) $\left(-\frac{5}{2}, 6\right)$. D) $\left(2, 6\right)$. Show Answer Correct Answer: D) $\left(2, 6\right)$. 17. In $\int_0^2\int_0^{x^{ }}f(x, y)dydx$ A) 0 to 2. B) 0 to x. C) 2 to x. D) 0 to y. Show Answer Correct Answer: B) 0 to x. 18. The integration of f(x)= sin(x)/cos(x) dx is:HINT:QUOTIENT IDENTITY! A) -ln Icos(x)I + C. B) Ln Isin(x)I +C. C) Sec$^{2}$ (x) + C. D) -ln Isin(x)I +C. Show Answer Correct Answer: A) -ln Icos(x)I + C. 19. What is the antiderivative of $f(x) = e^x$ A) $e^x + C$. B) $xe^x + C$. C) $\ln(x) + C$. D) $x\ln(x)-x + C$. Show Answer Correct Answer: A) $e^x + C$. 20. If $\int_2^5f\left(x\right)dx=5$ $\int_4^5f\left(x\right)dx=\pi$ $\int_5^5f\left(x\right)dx=?$ A) $0$. B) 0 Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $0$. 21. $\int_{ }^{ }3\cos\left(x\right)dx$ A) $3x\cos\left(x\right)+C$. B) $-3\sin\left(x\right)+C$. C) $3\sin^2\left(x\right)+C$. D) $3\sin\left(x\right)+C$. Show Answer Correct Answer: D) $3\sin\left(x\right)+C$. 22. What is the answer to page 7, #3? A) A. B) B. C) C. D) D. E) E. Show Answer Correct Answer: D) D. 23. If a function is strictly increasing then using a left-hand Riemann Sum will produce an: A) Over-estimate. B) Under-estimate. C) Exact Solution. D) Undefined Value. Show Answer Correct Answer: B) Under-estimate. 24. If $\int_2^{10}f\left(x\right)dx=-6$ $\int_2^{10}3f\left(x\right)dx$ A) -18. B) 18. C) -9. D) -3. Show Answer Correct Answer: A) -18. 25. $\int_1^2x\cdot e^{\left(1-x^2\right)}+\frac{1}{2x+1}dx$ A) $\ln\frac{5}{3}-\frac{e^3}{2}+\frac{1}{2}$. B) $\frac{e^{-3}}{2}-\ln\left(\frac{3}{2}\right)+\ln\left(5\right)$. C) $\frac{1}{2}\left(1-\ln\left(3\right)+\ln\left(5\right)-e^{-3}\right)$. D) $\ln\left(3\right)+\ln\left(5\right)-\frac{1}{2}e^{-3}$. Show Answer Correct Answer: C) $\frac{1}{2}\left(1-\ln\left(3\right)+\ln\left(5\right)-e^{-3}\right)$. ← PreviousNext →Related QuizzesClass 12 Mathematics Chapter 7 Integrals Quiz 1Class 12 Mathematics Chapter 7 Integrals Quiz 2Class 12 Mathematics Chapter 7 Integrals Quiz 3Class 12 Mathematics Chapter 7 Integrals Quiz 4Class 12 Mathematics Chapter 7 Integrals Quiz 5Class 12 Mathematics Chapter 7 Integrals Quiz 6Class 12 Mathematics Chapter 7 Integrals Quiz 7Class 12 Mathematics Chapter 7 Integrals Quiz 8Class 12 Mathematics Chapter 7 Integrals Quiz 10Class 12 Mathematics Chapter 7 Integrals Quiz 11 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books