TS EAMCET · Maths · Definite Integration
The approximate value of \(\int_1^3 \frac{d x}{2+3 x}\) using Simpson's rule and dividing the interval \([1,3]\) into two equal parts is
- A \(\frac{1}{3} \log \left(\frac{11}{5}\right)\)
- B \(\frac{107}{110}\)
- C \(\frac{29}{110}\)
- D \(\frac{119}{440}\)
Answer & Solution
Correct Answer
(C) \(\frac{29}{110}\)
Step-by-step Solution
Detailed explanation
Here, \(h=\frac{3-1}{2}=1\) \begin{array}{c|c|c|c} \hlinex & 1.0 & 2.0 & 3.0 \\ \hliney & 0.2 & 0.125 & 0.09 \\ \hline \end{array}…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Maths
- If is the mean of the data and then the mean deviation of this data about its mean isTS EAMCET 2021 Easy
- If 3 sisters and 8 other girls are together playing a game, then the number of ways in which all the girls are seated around a circle such that the three sisters are not seated together, isTS EAMCET 2020 Easy
- \(1+\frac{1+2}{2 !}+\frac{1+2+2^2}{3 !}+\ldots\) is equal toTS EAMCET 2002 Medium
- In a \(\triangle A B C\) \[ \frac{(a+b+c)(b+c-a)(c+a-b)(a+b-c)}{4 b^2 c^2} \] equalsTS EAMCET 2009 Easy
- Let a function be continuous in an interval . Let be a very small real number. Let be such that and for every . Let and . ThenTS EAMCET 2022 Medium
- The equation of a circle of radius 5 units touching another circle \(x^2+y^2-2 x-4 y-20=0\) at \((5,5)\) isTS EAMCET 2019 Easy
More PYQs from TS EAMCET
- \(\mathrm{C}+\text { Conc. } \mathrm{H}_2 \mathrm{SO}_4 \xrightarrow{\Delta} \mathrm{X}+\mathrm{Y}+\mathrm{H}_2 \mathrm{O}\) \(X\) and \(Y\) in the above reaction areTS EAMCET 2024 Easy
- Let \(f(x)=x^2 e^{-2 x}, x>0\). The maximum value of \(f(x)\) isTS EAMCET 2018 Easy
- Identify the reaction related to Deacon's processTS EAMCET 2025 Easy
- \(\begin{aligned} & \text { If } 5(f(x))^2=x f(x)+30 \text { and } \ & \int \frac{\left(3 x^3+\left(1-30 x^2\right) f(x)\right)}{(10 f(x)-x)\left(x^3-f(x)\right)^2} d x \ & =\frac{A}{B x^3+D f(x)}+C \text { then } A+B+D=\end{aligned}\)TS EAMCET 2020 Hard
- The value of tan 1° tan 2° tan 3° tan 89° is equal toTS EAMCET 2023 Easy
- \(1+\frac{2}{4}+\frac{2 \cdot 5}{4 \cdot 8}+\frac{2 \cdot 5 \cdot 8}{4 \cdot 8 \cdot 12}+\frac{2 \cdot 5 \cdot 8 \cdot 11}{4 \cdot 8 \cdot 12 \cdot 16}+\ldots \ldots\) is equal to :TS EAMCET 2006 Hard