TS EAMCET · Maths · Definite Integration
- A
- B
- C
- D
Answer & Solution
Correct Answer
(A)
Step-by-step Solution
Detailed explanation
Let, I=∫59loge3x2loge3x2+loge588-84x+3x2dx ⇒I=∫59loge3x2loge3x2+loge3196-28x+x2dx ⇒I=∫59loge3x2loge3x2+loge314-x2dx ....(1) ⇒I=∫59loge39+5-x2loge39+5-x2+loge314-9+5-x2dx…
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
- \((\overrightarrow{\mathbf{a}}+2 \overrightarrow{\mathbf{b}}-\overrightarrow{\mathbf{c}}) \cdot(\overrightarrow{\mathbf{a}}-\overrightarrow{\mathbf{b}}) \times(\overrightarrow{\mathbf{a}}-\overrightarrow{\mathbf{b}}-\overrightarrow{\mathbf{c}})\) is equal toTS EAMCET 2010 Medium
- The sum of the fourth powers of the roots of the equation \(x^3+x+1=0\) isTS EAMCET 2008 Medium
- Suppose the circle \(S: x^2+y^2+2 g x+2 f y+c=0 \text { cuts }\) orthogonally the two circles \(S^{\prime}: x^2+y^2-4 x-6 y+11=0\) and \(S^{\prime \prime}: x^2+y^2-10 x-4 y+21=0\). If the centre of \(S=0\) lies on the bisector of the angle between the positive coordinate axes, then \(2 g+2 f+c=\)TS EAMCET 2020 Easy
- The pole of the line \(x-5 y-7=0\) with respect to the circle \(S \equiv x^2+y^2-2 x+4 y+1=0\) is \(P(a, b)\). If \(C\) is the centre of the circle \(S=0\) then \(P C=\)TS EAMCET 2024 Easy
- The distance between the point \((2,1)\) and the image of the point \((3,-1)\) with respect to the line \(2 x+y-1=0\) isTS EAMCET 2020 Easy
- If \(f(x)=\left(p-x^n\right)^{1 / n}, p>0\) and \(n\) is a positive integer, then \(f[f(x)]\) is equal toTS EAMCET 2013 Medium
More PYQs from TS EAMCET
- Which of the following statements is correct for chemisorption?TS EAMCET 2020 Easy
- System shown in the figure is in equilibrium and at rest. The spring and string are massless, now the string is cut. The acceleration of mass and just after the string is cut will be
TS EAMCET 2021 Easy - From a point \(A(1,0)\) on the circle \(x^2+y^2-2 x+2 y+1=0\), a chord \(A B\) is drawn and it is extended to a point \(P\) such that \(A P=3 A B\). The equation of the locus of \(P\) isTS EAMCET 2018 Medium
- A closely wound solenoid of \(80 \mathrm{~cm}\) long has 5 layers of windings of 400 turns each. The diameter of the solenoid is \(1.8 \mathrm{~cm}\). If the current carried is \(8 \mathrm{~A}\), then the magnitude of the magnetic field inside the solenoid near its centre is approximatelyTS EAMCET 2023 Medium
- The voltage gain of a transistor in common emitter configuration is 160 . The resistances in base and collector sides of the circuit are 1 kW and 4 kW respectively. If the change in base current is \(100 \mu \mathrm{~A}\), then the change in output current isTS EAMCET 2024 Medium
- \(\int \frac{3 x+2}{4 x^2+4 x+5} d x=\mathrm{A} \log \left(4 x^2+4 x+5\right)+\mathrm{BTan}^{-1}\left(\frac{2 x+1}{2}\right)+\mathrm{c}\), then \(\mathrm{A}+\mathrm{B}=\)TS EAMCET 2025 Medium