This quiz works best with JavaScript enabled. Home > Class 12 > Class 12 Mathematics Chapter 7 Integrals – Quiz 3 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 12 Mathematics Chapter 7 Integrals Quiz 3 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. $\int_1^2f\left(x\right)dx=3$ $\int_1^24f\left(x\right)dx=$ A) $12$. B) $7$. C) $-12$. D) $\frac{4}{3}$. Show Answer Correct Answer: A) $12$. 2. Evaluate the definite integral. $\int_{-1}^23\cdot\text{d}x$ A) 6. B) 12. C) 3. D) 9. Show Answer Correct Answer: D) 9. 3. $\int_2^4\left(x\right)dx$ A) 12. B) 14. C) 1. D) 6. Show Answer Correct Answer: D) 6. 4. For a function that is strictly increasing, a right hand Riemann Sum (Right Endpoint Approximation) is which of the following: A) Overestimate. B) Underestimate. C) Unable to Determine. D) Exact Solution. Show Answer Correct Answer: A) Overestimate. 5. $\int\int\int e^{4x}dxdydz$ A) $\frac{1}{3}e^{4xy}yz+C$. B) $\frac{1}{3}e^{4x}yz+C$. C) $\frac{1}{4}e^{4x}xyz+C$. D) $\frac{1}{4}e^{4x}yz+C$. Show Answer Correct Answer: D) $\frac{1}{4}e^{4x}yz+C$. 6. $\int t^2\left(3t+5\right)dt= ..... $ A) $\frac{3}{4}t^4+\frac{5}{3}t^3+c$. B) $3t^4+\frac{3}{5}t^3+c$. C) $\frac{3}{4}t^3+\frac{5}{3}t^2+c$. D) $9t^2+10t+c$. Show Answer Correct Answer: A) $\frac{3}{4}t^4+\frac{5}{3}t^3+c$. 7. Which of the following equations represents a cone? A) $z=x^2+y^2$. B) $z=\sqrt{x^2+y^2}$. C) $x^2+y^2+z^2=1$. D) $z=x^3+y^3$. Show Answer Correct Answer: B) $z=\sqrt{x^2+y^2}$. 8. Evaluate the integral of sin(x) dx. A) Sin(x) + C. B) Tan(x) + C. C) -sin(x) + C. D) -cos(x) + C. Show Answer Correct Answer: D) -cos(x) + C. 9. Find the antiderivative of $f(x) = e^x$ A) $e^x + C$. B) $xe^x + C$. C) $\frac{e^x}{x} + C$. D) $e^{x^2} + C$. Show Answer Correct Answer: A) $e^x + C$. 10. If in an exercise the function of the velocity is given:$v\left(t\right)$ A) Find the derivative of $v\left(t\right)$. B) Find the antiderivative of $v\left(t\right)$. C) Write random numbers and pray. D) Ask to my dog. Show Answer Correct Answer: B) Find the antiderivative of $v\left(t\right)$. 11. If $f\left(x\right)=-2x^3-3x^2+5$ $\left[0, 1\right]$ A) $4.06$. B) 4.06 Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $4.06$. 12. Find the antiderivative of $f\left(x\right)=4x^2-6x+8$ A) $F\left(x\right)=2x^3-2x^2+8x+C$. B) $F\left(x\right)=8x-6+C$. C) $F\left(x\right)=\frac{4}{3}x^3-3x^2+8x+C$. D) $F\left(x\right)=4x^3-6x^2+8x+C$. Show Answer Correct Answer: C) $F\left(x\right)=\frac{4}{3}x^3-3x^2+8x+C$. 13. $\int_0^1\left(\left(3x\right)^2+1\right)dx=$ A) $4$. B) $\frac{7}{2}$. C) $2$. D) $9$. Show Answer Correct Answer: A) $4$. 14. Find the antiderivative of:$\int_{ }^{ }\left(e^x-\cos\left(x\right)\right)dx$ A) $e^{2x}-\sin\left(x\right)+c$. B) $e^x-\sin\left(x\right)$. C) $e^x-\sin\left(x\right)+c$. D) $e^x+\sin\left(x\right)+c$. Show Answer Correct Answer: C) $e^x-\sin\left(x\right)+c$. 15. What is the area under the curve of $y = \sin(x)$ $x = 0$ $x = \pi$ A) 1. B) 2. C) $\pi$. D) $\frac{\pi}{2}$. Show Answer Correct Answer: B) 2. 16. Evaluate $\int8x^{-3}dx$ A) $-4x^{-2}+c$. B) -4x-2+c Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $-4x^{-2}+c$. 17. Calculate the integral of 1/x from x = 1 to x = 2. A) Ln(3). B) 1. C) Ln(1). D) Ln(2). Show Answer Correct Answer: D) Ln(2). 18. $\int_0^{\ln2}\left(\frac{e^x}{1+2e^x}\right)dx$ A) E/2. B) 1/2. C) 1/2(ln(5)-ln(3)). D) 0. Show Answer Correct Answer: C) 1/2(ln(5)-ln(3)). 19. What is the answer to page 5, #6? A) A. B) B. C) C. D) D. E) E. Show Answer Correct Answer: B) B. 20. Which of the following is equivalent to:$\int_7^3h\left(\alpha\right)d\alpha+\int_3^9h\left(\alpha\right)d\alpha$ A) $-\int_3^7h\left(\alpha\right)d\alpha$. B) $-\int_7^9h\left(\alpha\right)d\alpha$. C) $\int_7^9h\left(\alpha\right)d\alpha$. D) None of the following are equivalent to the given. Show Answer Correct Answer: C) $\int_7^9h\left(\alpha\right)d\alpha$. 21. Evaluate $\int5x^3+2x\\dx$ A) $15x^2+2+C$. B) $5x^4+2x^2+C$. C) $\frac{1}{5}x^4+\frac{1}{2}x^2+C$. D) $\frac{5}{4}x^4+x^2+C$. Show Answer Correct Answer: D) $\frac{5}{4}x^4+x^2+C$. 22. If $\int_2^{10}f\left(x\right)dx=-6$ $\int_2^{10}-2f\left(x\right)dx$ A) -12. B) 4. C) -8. D) 12. Show Answer Correct Answer: D) 12. 23. $\int_{ }^{ }\frac{x^7}{7}dx$ A) $\frac{x^8}{15}+C$. B) $\frac{x^8}{8}+C$. C) $\frac{x^8}{56}+C$. D) $x^8+C$. Show Answer Correct Answer: C) $\frac{x^8}{56}+C$. 24. $\int_{ }^{ }e^xdx$ A) $e^x+C$. B) $\frac{1}{e^x}+C$. C) $xe^x+C$. D) $e^{x^2}+C$. Show Answer Correct Answer: A) $e^x+C$. 25. $\int\\frac{4x+3}{x^2+3x}dx$ A) $\ln\left|x\right|+3\ln\left|x+3\right|+c$. B) $\ln\left|x\right|+\ln\left|x+3\right|+c$. C) $\ln\left|x^2+3x\right|+c$. D) $3\ln\left|x\right|+\ln\left|x+3\right|+c$. Show Answer Correct Answer: A) $\ln\left|x\right|+3\ln\left|x+3\right|+c$. ← PreviousNext →Related QuizzesClass 12 Mathematics Chapter 7 Integrals Quiz 1Class 12 Mathematics Chapter 7 Integrals Quiz 2Class 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 10Class 12 Mathematics Chapter 7 Integrals Quiz 11 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books