Related InterviewSolutions

• Compute \(\int_2^6\)7e^x dx.(a) 30.82(b) 7(e^6 – e^2)(c) 11.23(d) 81(e^6 – e^3)This question was addressed to me during an internship interview.I need to ask this question from Properties of Definite Integrals in chapter Integrals of Mathematics – Class 12
• What is adding intervals property?(a) \(\int_a^c\)f(x)dx+\(\int_b^c\)f(x)dx = \(\int_a^c\)f(x) dx(b) \(\int_a^b\)f(x)dx+\(\int_b^a\)f(x)dx = \(\int_a^c\)f(x) dx(c) \(\int_a^b\)f(x)dx+\(\int_b^c\)f(x)dx = \(\int_a^c\)f(x) dx(d) \(\int_a^b\)f(x)dx-\(\int_b^c\)f(x)dx = \(\int_a^c\)f(x) dxThis question was posed to me in an interview for job.I'm obligated to ask this question of Properties of Definite Integrals in section Integrals of Mathematics – Class 12
• Find \(\int_1^2\sqrt{x}-3x \,dx\).(a) \(\frac{8\sqrt{2}-31}{6}\)(b) \(8\sqrt{2}-31\)(c) \(\frac{\sqrt{2}-31}{3}\)(d) \(\frac{8\sqrt{2}+31}{4}\)This question was posed to me in an interview for job.My query is from Fundamental Theorem of Calculus-2 topic in section Integrals of Mathematics – Class 12
• Find \(\int_1^2 \frac{12 \,log⁡x}{x} \,dx\).(a) -12 log⁡2(b) 24 log⁡2(c) 12 log⁡2(d) 24 log⁡4This question was posed to me in an interview.This key question is from Evaluation of Definite Integrals by Substitution in portion Integrals of Mathematics – Class 12
• Find \(\int_{-1}^1 \,2xe^x \,dx\).(a) \(\frac{4}{e}\)(b) 4e(c) –\(\frac{4}{e}\)(d) -4eThis question was posed to me in my homework.I would like to ask this question from Fundamental Theorem of Calculus-1 in section Integrals of Mathematics – Class 12
• The value of \(\int_1^2\)1y^5 dy is_____(a) 10.5(b) 56(c) 9(d) 23This question was addressed to me by my college director while I was bunking the class.The origin of the question is Definite Integral topic in section Integrals of Mathematics – Class 12
• What is y in \(\int_a^b\)f(y) dy called as?(a) Random variable(b) Dummy symbol(c) Integral(d) IntegrandThe question was asked during an online exam.My doubt is from Definite Integral in portion Integrals of Mathematics – Class 12
• Integrate 3 sec^2⁡x log⁡(tan⁡x) dx.(a) -log⁡(tan⁡x) (tan⁡x-1)+C(b) log⁡(tan⁡x) (sec⁡x+1)+C(c) tan⁡x (log⁡(tan⁡x)-1)+C(d) tan⁡x (log⁡sec⁡x +1)+CI had been asked this question in my homework.My question is based upon Integration by Parts topic in division Integrals of Mathematics – Class 12
• What is the difference property of definite integrals?(a) \(\int_a^b\)[-f(x)-g(x)dx(b) \(\int_a^b\)[f(-x)+g(x)dx(c) \(\int_a^b\)[f(x)-g(x)dx(d) \(\int_a^b\)[f(x)+g(x)dxI have been asked this question in semester exam.This intriguing question comes from Properties of Definite Integrals topic in portion Integrals of Mathematics – Class 12
• Evaluate the definite integral \(\int_0^1 sin^2⁡x \,dx\).(a) –\(\frac{π}{2}\)(b) π(c) \(\frac{π}{4}\)(d) \(\frac{π}{6}\)This question was addressed to me by my school principal while I was bunking the class.Asked question is from Fundamental Theorem of Calculus-2 topic in chapter Integrals of Mathematics – Class 12