Testbook Logo
Exams SuperCoaching Test Series Skill Academy
More
Hindi
English

Question

Download Solution PDF

निम्नलिखित निश्चित समाकलन का मान निकालें और सही उत्तर चुनियें:

\(\int_1^2\) x . dx

This question was previously asked in
Bihar STET Paper I: Mathematics (Held In 2019 - Shift 1)
Download PDF Attempt Online
View all Bihar STET Papers >
  1. \(\frac{3}{2}\)
  2. \(\frac{2}{3}\)
  3. \(\frac{3}{5}\)
  4. \(\frac{2}{5}\)

Answer (Detailed Solution Below)

Option 1 : \(\frac{3}{2}\)
Free Tests
View all Free tests >
Free
Bihar STET Paper 1 Mathematics Full Test 1
13.7 K Users
150 Questions 150 Marks 150 Mins
Start Now

Detailed Solution

Download Solution PDF

प्रयुक्त अवधारणा:

 

\(\int_a^b\) xn.dx = (xn+1/n+1)ab

गणना:

\(\int_1^2\) x . dx = x1+1/1+1 = (x2/2)12 = 4/2 - 1/2 = 2 - 1/2 = 3/2.

अतः, विकल्प 1 सही है।

Download Solution PDF
Latest Bihar STET Updates

Last updated on Jan 29, 2025

-> The Bihar STET 2025 Notification will be released soon.

->  The written exam will consist of  Paper-I and Paper-II  of 150 marks each. 

-> The candidates should go through the Bihar STET selection process to have an idea of the selection procedure in detail.

-> For revision and practice for the exam, solve Bihar STET Previous Year Papers.

‹‹ Previous Ques
Next Ques ››

More Definite Integrals Questions

Q1.निम्नलिखित निश्चित समाकलन का मान निकालें और सही उत्तर चुनियें: \(\int_1^2\) x . dx
Q2.निश्चित समाकलन का मान निकालिये: \(\int_a^b\) ex ⋅ dx:
Q3.\(\rm\displaystyle\int_0^1 \int_0^1 \frac{1}{\sqrt{\left(1-x^2\right)\left(1-y^2\right)}}\) dxdy का मान ज्ञात कीजिए
Q4.The value of the line integral \(\rm \int_P^Q(z^2dx+3y^2dy+2xzdz)\) along the straight line joining the points 𝑃 (1, 1, 2) and 𝑄 (2, 3, 1) is 
Q5.For the integral \(\rm I=\displaystyle\int^1_{-1}\frac{1}{x^2}dx\) which of the following statements is TRUE? 
Q6.\(\rm\displaystyle\int_0^{\frac{\pi}{4}} \frac{d x}{\cos ^3 x \sqrt{2 \sin 2x}}\) = _______
Q7.\(\rm\displaystyle\int_C^{\square} \) F . dr ज्ञात कीजिए, जहाँ F = (x2 − y2)î + 2xyĵ और C एक वर्ग है, जो निर्देशांक अक्षों और रेखाओं x = a, y = a से घिरा है।
Q8.यदि −1 < a < 0 और n ∈ N, तो \(\rm\displaystyle\int_a^0 \frac{x^n}{1+x}\) dx निम्न में अभिसरित होगा:
Q9.समाकलन \(\int_{-\infty}^\infty \frac{x^2-x+2}{x^4+10x^2+9}\)dx का मान क्या है?
Q10.हल करें: \(\int_{\rm{0}}^{\frac{{\rm{\pi }}}{{\rm{2}}}} {\frac{{{\rm{f(x)}}}}{{{\rm{f(x) \,+\, f}}\left( {\frac{{\rm{\pi }}}{{\rm{2}}}\,{\rm{ - }}\,{\rm{x}}} \right)}}{\rm{dx}}} \) = ?

More Calculus Questions

Q1.Consider a cube having the dimension x, y, z ∈ [1, 3]. If a B̅ = \(2 x^{2} y \hat{a}_{x}+3 x^{2} y^{2} \hat{a}_{y}\). Divergence of B̅ at the centre of cube is :
Q2.Three vectors \(\overrightarrow{\mathrm{p}}, \overrightarrow{\mathrm{q}}\) and \(\overrightarrow{\mathrm{r}}\) are given as \(\overrightarrow{\mathrm{p}}=\hat{\mathrm{i}}+\hat{\mathrm{j}}+\hat{\mathrm{k}} \) \(\overrightarrow{\mathrm{q}}=\hat{\mathrm{i}}+2 \hat{\mathrm{j}}+3 \hat{\mathrm{k}} \) \(\overrightarrow{\mathrm{r}}=2 \hat{i}+3 \hat{j}+4 \hat{k}\) Which of the following is/are CORRECT?
Q3.Let 𝑓, 𝑔 ∶ ℝ2 → ℝ be defined by 𝑓(𝑥, 𝑦) = \(\rm x^2-\frac{3}{2}xy\) and 𝑔(𝑥, 𝑦) = 4𝑥4 − 5𝑥2𝑦 + 𝑦2  for all (𝑥, 𝑦) ∈ ℝ2 . Consider the following statements: 𝑃: 𝑓 has a saddle point at (0,0). 𝑄: 𝑔 has a saddle point at (0,0). Then
Q4.दो बलों \(\vec{P}=3 \hat{i}-2 \hat{j}+\hat{k}\) और \(\vec{Q}=\hat{i}+3 \hat{j}-5 \hat{k}\) द्वारा एक कण को बिंदु A, जिसका स्थिति सदिश \(-2 \hat{i}+5 \hat{k}\) है, से बिंदु B, जिसका स्थिति सदिश \(3 \hat{i}-7 \hat{j}+2 \hat{k}\) है, तक विस्थापित करने में किया गया कार्य क्या होगा?
Q5.\(\int x^{n} d x=\frac{x^{n+1}}{n+1}+c\) सत्य नहीं है, यदि n बराबर है
Q6.वक्र y = 2x2 + 3sin x के बिंदु x = 0 पर अभिलंब की प्रवणता क्या है?
Q7.लैग्रान्ज माध्यमान प्रमेय को f(b) - f(a) = (b - a)f'(c), a < c < b लिखने पर c का मान क्या है, यदि f(x) = x(x - 1), a = 0, \(b = \frac{1}{2}\) है?
Q8.निम्नलिखित निश्चित समाकलन का मान निकालें और सही उत्तर चुनियें: \(\int_1^2\) x . dx
Q9.निश्चित समाकलन का मान निकालिये: \(\int_a^b\) ex ⋅ dx:
Suggested Test Series
View All >
Bihar STET Paper 1 (माध्यमिक) Mock Test 2024
321 Total Tests with 5 Free Tests
Start Free Test
Bihar STET Paper 2 (उच्च माध्यमिक) Mock Test 2024
508 Total Tests with   24 Free Tests
Start Free Test

More Engineering Mathematics Questions

Q1.यदि L = {1, 2, 3, 4, 6, 9, 36} जालक है, तो नीचे दिए गए हैस आरेख में 9 के पूरकों की संख्या ज्ञात कीजिए।
Q2.अनिर्देशित आलेख के लिए निम्नलिखित में से कौन सा/से कथन सत्य है?
Q3.\(\iint \frac{x y}{\sqrt{1-y^{2}}} d x d y\) Over the positive quadrant of the circle x2 + y2 = 1 is __________.
Q4.The real root of the equation x3 − x − 5 = 0 lying between 1 and 2 after first iteration by Newton-Raphson method is ________, if initial approximation is taken as x0 = 2 ∈ [1, 2] : 
Q5.Let X be uniform random variable on [0, 4] and Y be uniform random variable on [0, 1]. If X and Y are independent, then P(max {X, Y} > 3) is equal to : 
Q6.If R and D are the radius and diameter of the graph K4,7, then the ordered pair (R, D) is equal to : 
Q7.The largest number of faces in a simple connected maximal planar graph with 100 vertices is :
Q8.If for the matrix A, A3 = I then A−1 = __________. 
Q9.Energy of power signal is : 
Q10.With usual notations, the properties of maxima and minima under various conditions are __________. I II (P) Maxima (i) r t− s2 = 0 (Q) Minima (ii) rt − s2 < 0 (R) Saddle Point (iii) rt − s2 > 0, r > 0 (S)  Case of failure (iv) rt − s2 > 0, r < 0
Important Exams
Super Coaching
Exams
Test Series
Previous Year Papers
Objective Questions
Testbook Edu Solutions Pvt. Ltd.
1st & 2nd Floor, Zion Building,
Plot No. 273, Sector 10, Kharghar,
Navi Mumbai - 410210
[email protected]
Toll Free:1800 833 0800
Office Hours: 10 AM to 7 PM (all 7 days)
Company
About usCareers We are hiringTeach Online on TestbookPartnersMediaSitemap
Products
Test SeriesTestbook PassOnline CoursesOnline VideosPracticeBlogRefer & EarnBooks
Our Apps
Follow us on
Copyright © 2014-2022 Testbook Edu Solutions Pvt. Ltd.: All rights reserved
User PolicyTermsPrivacy
Get Free Access Now
Hot Links： teen patti lotus teen patti stars teen patti baaz