This quiz works best with JavaScript enabled. Home > Class 12 > Class 12 Mathematics Chapter 7 Integrals – Quiz 2 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 12 Mathematics Chapter 7 Integrals Quiz 2 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. What is the antiderivative of $f(x) = 7$ A) $7x + C$. B) $7x^2 + C$. C) $\frac{1}{7}x + C$. D) $49x + C$. Show Answer Correct Answer: A) $7x + C$. 2. $\int_{ }^{ }\left(\cos\left(x\right)+\sin\left(x\right)\right)dx$ A) $\sin\left(x\right)-\cos\left(x\right)+C$. B) $\sin\left(x\right)+\cos\left(x\right)+C$. C) $\sin\left(x\right)\cos\left(x\right)+C$. D) $-\sin\left(x\right)-\cos\left(x\right)+C$. Show Answer Correct Answer: A) $\sin\left(x\right)-\cos\left(x\right)+C$. 3. $\int_{ }^{ }\cos\left(\pi x\right)dx$ A) $\pi\sin\left(\pi x\right)+C$. B) $-\pi\sin\left(\pi x\right)+C$. C) $\frac{1}{\pi}\sin\left(\pi x\right)+C$. D) $-\frac{1}{\pi}\sin\left(\pi x\right)+C$. Show Answer Correct Answer: C) $\frac{1}{\pi}\sin\left(\pi x\right)+C$. 4. H'(x) = x(3x$^{2}$ + 2)$^{10}$. h(x) = A) (1/11)(3x$^{2}$ + 2)$^{11}$ + C. B) (1/6)(3x$^{2}$ + 2)$^{11}$ + C. C) (6/11)(3x$^{2}$ + 2)$^{11}$ + C. D) (1/66)(3x$^{2}$ + 2)$^{11}$ + C. Show Answer Correct Answer: D) (1/66)(3x$^{2}$ + 2)$^{11}$ + C. 5. What is the answer to page 4, #3? A) A. B) B. C) C. D) D. E) E. Show Answer Correct Answer: C) C. 6. Given that $\int_0^5f\left(x\right)dx=7$ $\int_2^5f\left(x\right)dx=-1$ $\int_0^2f\left(x\right)dx=$ A) $8$. B) 8 Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $8$. 7. $\int_4^9\left(3\sqrt{x}\right)dx=$ A) $2\left(27\right)-2\left(8\right)$. B) $9\cdot\frac{2}{3}-4\cdot\frac{2}{3}$. C) $3\left(\sqrt{4}\right)^3-3\left(\sqrt{9}\right)^3$. D) $\frac{3}{\sqrt{9}}-\frac{3}{\sqrt{4}}$. Show Answer Correct Answer: A) $2\left(27\right)-2\left(8\right)$. 8. $\int\frac{\left(x^3+2x^2-4\right)}{x^2}dx$ A) $x+2-\frac{4}{x^2}+c$. B) $x+2x-4x^{-2}+c$. C) $\frac{1}{2}x^2+2x+\frac{4}{x}+c$. D) $\frac{1}{2}x^2+2+\frac{4}{x}+c$. Show Answer Correct Answer: C) $\frac{1}{2}x^2+2x+\frac{4}{x}+c$. 9. $f\left(x\right)=\frac{1}{\sqrt{x}}$ A) 2. B) 1. C) 2/5. D) 1/5. Show Answer Correct Answer: C) 2/5. 10. Evaluate the integral:$\int_{ }^{ }\left(\frac{1}{x^4}\right)dx$ A) $-\frac{1}{3x^3}+c$. B) -3x31+c Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $-\frac{1}{3x^3}+c$. 11. If you have to find the area under a curve, what would you use? A) Integration. B) Derivation. C) A= bxh. D) A pencil. Show Answer Correct Answer: A) Integration. 12. Evaluate the integral:$\int_{ }^{ }\left(\frac{x^3+x}{x}\right)dx$ A) $\frac{x^3}{3}+x+c$. B) 3x3+x+c Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $\frac{x^3}{3}+x+c$. 13. $\int_{-4}^4\sqrt{16-x^2}dx=$ A) $8\pi$. B) $16\pi$. C) $0$. D) $4\pi$. Show Answer Correct Answer: A) $8\pi$. 14. Choose the correct next step $\int\left(x^2-3\right)^2dx$ A) $\int_{ }^{ }\left(x^4-6x^2+9\right)dx$. B) $\int_{ }^{ }\left(x^4+9\right)dx$. C) $\frac{1}{3}\left(x^2-3\right)^3+c$. D) $\left(\frac{1}{3}x^3-3x\right)^2+c$. Show Answer Correct Answer: A) $\int_{ }^{ }\left(x^4-6x^2+9\right)dx$. 15. Find $\int(2x+3)dx$ A) $x^2+3x+c$. B) $x^2+3x$. C) $2x^2+3x+c$. D) $2x^2+3$. Show Answer Correct Answer: A) $x^2+3x+c$. 16. Find the area under $y=\left(x-2\right)^5$ $\left[2, 4\right]$ A) 32/3. B) 4. C) 16/3. D) 16. Show Answer Correct Answer: A) 32/3. 17. $\int_0^3\left(3x^2-4x\right)dx=$ A) 9. B) 15. C) 16. D) 14. Show Answer Correct Answer: A) 9. 18. $\int\left(5\sqrt{x^3}-16e^{-4x}+\frac{1}{x}\right)dx$ A) $2x^{\frac{5}{2}}+4x^{-4x}+\ln\left|x\right|+C$. B) $5x^{\frac{1}{3}}-4e^{-4x}+1+C$. C) $\frac{5}{2}x^{\frac{3}{2}}-16e^{-4x}+\ln\left|x\right|+C$. D) Got lazy with fake answers. Show Answer Correct Answer: A) $2x^{\frac{5}{2}}+4x^{-4x}+\ln\left|x\right|+C$. 19. Find $y=f\left(x\right)$ $f" \left(x\right)=x^2$ $f'\left(0\right)=7$ $f\left(0\right)=2$ A) $\frac{1}{12}x^4+7x+2$. B) 121x4+7x+2 Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $\frac{1}{12}x^4+7x+2$. 20. If $\int_{-5}^3g\left(x\right)dx=-2$ $\int_{-5}^{15}g\left(x\right)dx=9$ $\int_{15}^3g\left(x\right)dx$ A) 7. B) -11. C) 11. D) -7. Show Answer Correct Answer: B) -11. 21. Find the value of the indefinite integral. $\int\\frac{4x}{2x^2+6}dx$ A) $\ln\left(2x^2+6\right)+C$. B) $4x\ln\left(2x^2+6\right)+C$. C) $\frac{1}{2x^2+6}+C$. D) $\frac{1}{\left(2x^2+6\right)^2}+C$. Show Answer Correct Answer: A) $\ln\left(2x^2+6\right)+C$. 22. Let $f\left(x\right)=\frac{6}{x^2}$ A) $F\left(x\right)=\frac{18}{x^3}+C$. B) $F\left(x\right)=-\frac{12}{x}+C$. C) $F\left(x\right)=-\frac{6}{x}+C$. D) $F\left(x\right)=-\frac{2}{x^3}+C$. Show Answer Correct Answer: C) $F\left(x\right)=-\frac{6}{x}+C$. 23. $\int_0^2\left(3x-1\right)^3dx=$ A) 52. B) $25$. C) $-5\frac{2}{5}$. D) $\frac{5}{2}$. Show Answer Correct Answer: A) 52. 24. Given the marginal cost function, $C'\left(x\right)=6x^2-3x+5$ A) $C\left(x\right)=2x^3-\frac{3}{2}x^2+$ $5x$. B) $C\left(x\right)=2x^3-\frac{3}{2}x^2+$ $5x+8$. C) $C\left(x\right)=12x-3$. D) $C\left(x\right)=2x^3-\frac{3}{2}x^2+$ $5x+k$. Show Answer Correct Answer: B) $C\left(x\right)=2x^3-\frac{3}{2}x^2+$ $5x+8$. 25. Evaluate $\int\left(x^2-2x\right)dx$ A) $\frac{x^3}{3}-x^2+c$. B) 3x3-x2+c Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $\frac{x^3}{3}-x^2+c$. ← PreviousNext →Related QuizzesClass 12 Mathematics Chapter 7 Integrals Quiz 1Class 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 10Class 12 Mathematics Chapter 7 Integrals Quiz 11 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books