AP EAMCET · Maths · Indefinite Integration
If \(\frac{13 x+43}{2 x^2+17 x+30}=\frac{A}{2 x+5}+\frac{B}{x+6}\) then \(A+B=\)
- A \(8\)
- B \(18\)
- C \(3\)
- D \(5\)
Answer & Solution
Correct Answer
(A) \(8\)
Step-by-step Solution
Detailed explanation
\begin{aligned} & \frac{13 x+43}{2 x^2+17 x+30}=\frac{\mathrm{A}}{2 x+5}+\frac{\mathrm{B}}{x+6} \\ & \frac{13 x+43}{2 x^2+17 x+30}=\frac{\mathrm{A}(x+6)+\mathrm{B}(2 x+5)}{2 x^2+17 x+30} \\ & \Rightarrow 13 x+43=\mathrm{A}(x+6)+\mathrm{B}(2 x+5) \\ & \Rightarrow 13…
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 the system of linear equations given by is consistent and if is a solution, thenAP EAMCET 2018 Easy
- The value c of the Rolle's theorem for the function \(\mathrm{f}(\mathrm{x})=2 \sin \mathrm{x}+\sin 2 \mathrm{x}\) in the interval \([0, \pi]\) isAP EAMCET 2025 Medium
- If \(y=\frac{\sin \mathrm{h}^{-1} x}{\sqrt{1+x^2}}\), then \(\left(1+x^2\right) \mathrm{y}_2+3 \mathrm{xy}_1+\mathrm{y}=\)AP EAMCET 2017 Medium
- What is the formula for finding coefficient of variation, given \(\sigma=\) standard deviation and \(\bar{x}=\) mean \(\neq 0\) ?AP EAMCET 2020 Easy
- In \(\triangle \mathrm{ABC}\), if \(a=2(\sqrt{3}+1), B=45^{\circ}\) and \(C=60^{\circ}\), then the area (in sq.units) of that triangle isAP EAMCET 2017 Easy
- For \(a>0\), if the function \(f(x)=2 x^3-9 a x^2+12 a^2 x+1\) attains its maximum value at \(p\) and minimum value at \(q\) such that \(p^2=q\), then \(a=\)AP EAMCET 2019 Easy
More PYQs from AP EAMCET
- Assertion (A): In a region of constant potential, the electric field is zero and there can be no charge inside the region. Reason (R): According to Gauss law. charge inside the region should be zero if electric field is zero.AP EAMCET 2022 Easy
- The chlorination of ethane is an example for which type of the following reactions?AP EAMCET 2012 Easy
- A rectangular wire loop of sides \(5 \mathrm{~cm}\) and \(3 \mathrm{~cm}\) with a small cut is moving away from an infinitely long straight wire carrying a current of \(30 \mathrm{~A}\) with a velocity of \(20 \mathrm{~ms}^{-1}\) as shown in the figure. The emf induced across the cut is
AP EAMCET 2018 Easy - Let \(P\) be a real number and \(|P| \geq 2\). If \(A, B, C\) are variable angles such that
\[
\left(\sqrt{P^2-4}\right) \tan A+P \tan B+\left(\sqrt{P^2+4}\right) \tan C=6 P \text {, }
\]
then the minimum value of
\[
\tan ^2 A+\tan ^2 B+\tan ^2 C=
\]AP EAMCET 2022 Hard - If \(y=\sin ^{-1} x\) then \(\left(1-x^2\right) y_2-x y_1=\)AP EAMCET 2024 Easy
- An urn \(A\) contains 3 white and 5 black balls. Another urn \(B\) contains 6 white and 8 black balls. A ball is picked from A at random and then transferred to \(B\). Then, a ball is picked at random from \(B\). The probability that it is a white ball isAP EAMCET 2010 Medium