TS EAMCET · Maths · Indefinite Integration
Let , if , then
- A
- B
- C
- D
Answer & Solution
Correct Answer
(C)
Step-by-step Solution
Detailed explanation
f2x+15x+3=x+2 Let, 2x+15x+3=t Solving, we get x=3t-12-5t So, ft=3t-12-5t+2=3t-1+4-10t2-5t=3-7t2-5t Now, ∫fx=∫3-7x2-5xdx=∫75dx+15∫dx2-5x =75x-125ln2-5x+c
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 lines \(x+y-1=0, k x+2 y+1=0\) and \(4 x+2 k y+7\) \(=0\) are concurrent, then \(k=\)TS EAMCET 2023 Easy
- Let \(a, b, c \notin\{0,1\}\). If the system of equations
\(\begin{aligned} & \Pi_1 \equiv x+a y+a z=0 \\ & \Pi_2 \equiv b x+y+b z=0 \\ & \Pi_3 \equiv c x+c y+z=0\end{aligned}\)
has a non-trivial solution, then the system of equations \(\Pi_1=a, \Pi_2=b, \Pi_3=c\) hasTS EAMCET 2020 Easy - If the area of a circle increases at the rate of \(\frac{1}{\sqrt{\pi}}\) sq. units/sec, then the rate (in units/sec) at which the perimeter of the circle changes, when perimeter is \(\sqrt{\pi}\) units, isTS EAMCET 2020 Easy
- If \(f(x, y)=0\) is the combined equation of the lines joining the origin to the points where the line \(4 x-6 y-2=0\) meets the curve \(3 x^2-4 x y+5 y^2-2 x+y-6=0\), then \(\frac{f(1,-1)}{f(-1,-1)}=\)TS EAMCET 2022 Medium
- If the lines and are concurrent then the cosine of the acute angle between the lines and isTS EAMCET 2022 Easy
- If three cards are drawn randomly from a pack of 52 playing cards then the probability of getting exactly one spade card, exactly one king and exactly one card having a prime number isTS EAMCET 2025 Medium
More PYQs from TS EAMCET
- If \(\alpha, \beta, \gamma\) are the roots of \(x^3-2 x^2+3 x-4=0\), then the value of \(\alpha^2 \beta^2+\beta^2 \gamma^2+\gamma^2 \alpha^2\) isTS EAMCET 2007 Medium
- If the family of straight lines , where is concurrent at the point , then the foot of the perpendicular drawn from to the line isTS EAMCET 2020 Medium
- The following are some statements related to VA group hydrides, I. Reducing property increases from \(\mathrm{NH}_3\) to \(\mathrm{BiH}_3\). II. Tendency to donate lone pair decreases from \(\mathrm{NH}_3\) to \(\mathrm{BiH}_3\). III. Thermal stability of hydrides decreases from \(\mathrm{NH}_3\) to \(\mathrm{BiH}_3\). IV. Bond angle of hydrides decreases from \(\mathrm{NH}_3\) to \(\mathrm{BiH}_3\). The correct statements areTS EAMCET 2007 Easy
- If represents the greatest integer , then the range of the real valued function isTS EAMCET 2022 Medium
- Five boys and five girls are writing an examination in a hall in which 5 benches are arranged in a row and only two students are to be seated on every bench at either of its ends. If the seating arrangement is to be such that no two boys or no two girls sit together as neighbours (a student should not have a student of same gender either on left or right; immediate front or back), then the total number of such arrangements isTS EAMCET 2020 Easy
- ForTS EAMCET 2021 Medium