This quiz works best with JavaScript enabled. Home > Class 12 > Class 12 Mathematics Chapter 7 Integrals – Quiz 10 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 12 Mathematics Chapter 7 Integrals Quiz 10 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. $5\int_{ }^{ }x^4dx$ A) $\frac{x^5}{5}+C$. B) $x^5+C$. C) $5x^5+C$. D) $15x^3+C$. Show Answer Correct Answer: B) $x^5+C$. 2. 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. 3. $\int\int\int\left(2x-3y+4z\right)dxdydz$ A) $xyz\left(x+\frac{3}{2}y+2z\right)+C$. B) $xyz\left(x-3y+2z\right)+C$. C) $xyz\left(x-\frac{3}{2}y+2z\right)+C$. D) $xyz\left(x+3y+2z\right)+C$. Show Answer Correct Answer: C) $xyz\left(x-\frac{3}{2}y+2z\right)+C$. 4. Evaluate the definite integral $\int_0^3\left(3x^2\right)dx$ A) 21. B) 23. C) 25. D) 27. Show Answer Correct Answer: D) 27. 5. What is the value of the definite integral $\int_2^4\\ln\left(x\right)dx$ A) $4\ln\left(2\right)-2$. B) $6\ln\left(2\right)-2$. C) $6\ln\left(2\right)+2$. D) $10\ln\left(2\right)-2$. Show Answer Correct Answer: B) $6\ln\left(2\right)-2$. 6. $\int_{ }^{ }\sin\left(2x+3\right)dx$ A) $\frac{1}{2}\cos\left(2x+3\right)+C$. B) $\cos\left(2x+3\right)+C$. C) $-\cos\left(2x+3\right)+C$. D) $-\frac{1}{2}\cos\left(2x+3\right)+C$. E) $-\frac{1}{5}\cos\left(2x+3\right)+C$. Show Answer Correct Answer: D) $-\frac{1}{2}\cos\left(2x+3\right)+C$. 7. $\int_0^2\int_0^2dxdy$ A) 1. B) 2. C) 3. D) 4. Show Answer Correct Answer: D) 4. 8. The integration of f(x)= sin(x)/cos(x) dx is: 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. 9. For a function that is strictly decreasing, a right hand Riemann Sum (Right Endpoint Approximation) is which of the following: A) Overestimate. B) Underestimate. C) Exact Solution. D) Unable to Determine. Show Answer Correct Answer: B) Underestimate. 10. The integration of f(x)= 1/tan(x) dx is: 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: B) Ln Isin(x)I +C. 11. $\int_1^2\frac{1}{\left(4x-3\right)^2}dx=$ A) 15. B) $1.5$. C) $-\frac{1}{5}$. D) 0.2. Show Answer Correct Answer: D) 0.2. 12. Choose the correct next step $\int_1^36x^5dx=$ A) $\left[x^6\right]_1^3$. B) $3^6-1^6$. C) $6\left(3\right)^5-6\left(1\right)^5$. D) $\left[6x^5\right]_1^3$. Show Answer Correct Answer: A) $\left[x^6\right]_1^3$. 13. What is the value of the definite integral $\int_0^{\frac{\pi}{2}}\\cos\left(x\right)dx$ A) -1. B) 1. C) $\frac{\pi}{2}$. D) $\pi$. Show Answer Correct Answer: B) 1. 14. Using the Fundamental Theorem of Calculus, evaluate $\int_{-1}^{1} x dx$ A) 0. B) 1. C) 2. D) -1. Show Answer Correct Answer: A) 0. 15. $\int_{ }^{ }\left(-24x^5-10x\right)dx$ A) $-4x^6-5x^2+C$. B) $-24x^6-10x^2+C$. C) $-4x^5-5x+C$. D) $-4x^6-10+C$. Show Answer Correct Answer: A) $-4x^6-5x^2+C$. 16. What is the answer to page 4, #4? A) A. B) B. C) C. D) D. E) E. Show Answer Correct Answer: D) D. 17. $\int_{ }^{ }x\left(1-3x^2\right)^4dx$ A) $\frac{-1}{30}\left(1-3x^2\right)^5$. B) $\frac{-1}{30}\left(1-3x^2\right)^5+C$. C) $\left(1-3x^2\right)^5+C$. D) $\frac{-1}{6}\left(1-3x^2\right)^5+C$. Show Answer Correct Answer: B) $\frac{-1}{30}\left(1-3x^2\right)^5+C$. 18. Evaluate the definite integral. $\int_0^2\\frac{3x^2-1}{x^2}dx$ A) $\frac{12}{3}$. B) $\frac{13}{2}$. C) $\frac{11}{2}$. D) $\frac{11}{3}$. Show Answer Correct Answer: B) $\frac{13}{2}$. 19. $\int_{ }^{ }\csc\left(x\right)\cot\left(x\right)dx$ A) $-\csc\left(x\right)+C$. B) $-\cot^2\left(x\right)+C$. C) $\tan\left(x\right)+C$. D) $\frac{1}{\tan\left(x\right)}+C$. Show Answer Correct Answer: A) $-\csc\left(x\right)+C$. 20. Which of the following expressions is equivalent to $\sin^2\theta$ A) $\frac{1+\sin2\theta}{2}$. B) $\frac{1-\sin2\theta}{2}$. C) $\frac{1+\cos2\theta}{2}$. D) $\frac{1-\cos2\theta}{2}$. Show Answer Correct Answer: D) $\frac{1-\cos2\theta}{2}$. 21. Find the antiderivative of $f(x) = \frac{1}{x}$ A) $\ln|x| + C$. B) $x\ln|x| + C$. C) $\frac{1}{2}x^2 + C$. D) $\ln|x^2| + C$. Show Answer Correct Answer: A) $\ln|x| + C$. 22. $\int_2^1\int_0^1\left(x+y\right)^2dxdy$ A) $-\frac{17}{3}$. B) -6. C) $-\frac{25}{6}$. D) $\frac{39}{6}$. Show Answer Correct Answer: C) $-\frac{25}{6}$. 23. Evaluate the Integral $\int2x\cos\left(x^2\right)dx$ A) $\sin\left(x^2\right)+C$. B) $2\sin\left(2x\right)+C$. C) $\frac{1}{2}\sin\left(x^2\right)+C$. D) $4\cos\left(2x\right)+C$. Show Answer Correct Answer: A) $\sin\left(x^2\right)+C$. 24. $\int_0^2\int_0^2xdxdy$ A) 1. B) 2. C) 3. D) 4. Show Answer Correct Answer: D) 4. 25. Approximate the area under the curve $f\left(x\right)=-\frac{5}{x}$ A) $\frac{3545}{693}$. B) $\frac{7552}{693}$. C) $\frac{3083}{693}$. D) $\frac{3776}{693}$. Show Answer Correct Answer: D) $\frac{3776}{693}$. ← 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 9Class 12 Mathematics Chapter 7 Integrals Quiz 11 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books