TS EAMCET · Maths · Definite Integration
\(\int_{-1}^{\frac{3}{2}}|x \sin (\pi x)| d x=\)
- A \(\frac{1}{\pi}-\frac{1}{\pi^2}\)
- B \(\frac{2}{\pi}+\frac{1}{\pi^2}\)
- C \(\frac{3}{\pi}-\frac{1}{\pi^2}\)
- D \(\frac{3}{\pi}+\frac{1}{\pi^2}\)
Answer & Solution
Correct Answer
(D) \(\frac{3}{\pi}+\frac{1}{\pi^2}\)
Step-by-step Solution
Detailed explanation
Let…
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 \(\bar{a}=\bar{i}-2 \bar{j}-2 \bar{k}\) and \(\bar{b}=2 \bar{i}+\bar{j}+2 \bar{k}\) are two vectors then \((\bar{a}+2 \bar{b}) \times(3 \bar{a}-\bar{b})=\)TS EAMCET 2025 Medium
- \(f(x)=\left|\begin{array}{ccc}1 & \text { x } & \text x+1 \\ 2 x & x(x-1) & (x+1) x \\ 3 x(x-1) & x(x-1)(x-2) & (x+1) x(x-1)\end{array}\right|\) then \(f(100)\) is equal toTS EAMCET 2023 Easy
- The slope of a line \(L\) passing through the point \((-2,-3)\) is not defined. If the angle between the lines \(L\) and \(a x-2 y+3=0(a\gt0)\) is \(45^{\circ}\), then the angle made by the line \(x+a y-4=0\) with positive \(X\)-axis in the anticlockwise direction isTS EAMCET 2024 Hard
- If \(x\) and \(y\) are two positive real numbers such that \(x+i y=\frac{13 \sqrt{-5+12 i}}{(2-3 i)(3+2 i)}\) then \(13 y-26 x=\)TS EAMCET 2024 Easy
- A normal chord PQ drawn at a point P on the parabola \(y^2=5 x\) subtends a right angle at the vertex. If P lies in the first quadrant, then the other end Q of the normal chord isTS EAMCET 2025 Medium
- \(\frac{1}{e^{3 x}}\left(e^x+e^{5 x}\right)=a_0+a_1 x+a_2 x^2+\ldots\) \(\Rightarrow \quad 2 a_1+2^3 a_3+2^5 a_5+\ldots\) is equal toTS EAMCET 2009 Medium
More PYQs from TS EAMCET
- If \(\sin \mathrm{A}=-\frac{24}{25}, \cos \mathrm{~B}=\frac{15}{17}, \mathrm{~A}\) does not belong to \(4^{\text {th }}\) quadrant and B does not belong to \(1^{\text {st }}\) quadrant then \((\mathrm{A}+\mathrm{B})\) lies in the quadrantTS EAMCET 2025 Medium
- The modulation index used in amplitude modulation of a message signal of peak voltage \(10 \mathrm{~V}\) is 0.5 . By how much the peak voltage of the carrier signal be changed, so as to obtain the modulation index of 0.8 , keeping the peak voltage of the message signal same as before?TS EAMCET 2020 Easy
- If \(u=\sin ^{-1}\left(\frac{x}{y}\right)+\tan ^{-1}\left(\frac{y}{x}\right)\), then the value \(x \frac{\partial u}{\partial x}+y \frac{\partial u}{\partial y}\) isTS EAMCET 2005 Medium
- A line segment joining a point A on \(x\)-axis to a point B on \(y\)-axis is such that \(\mathrm{AB}=15\). If P is a point on AB such that \(\frac{\mathrm{AP}}{\mathrm{PB}}=\frac{2}{3}\) then the locus of P isTS EAMCET 2025 Medium
- \(\beta\) is the angle made by the perpendicular drawn from origin to the line \(L \equiv x+y-2=0\) with the positive \(X\)-axis in the anticlockwise direction. If ' \(a\) ' is the \(X\)-intercept of the line \(L=0\) and \(p\) is the perpendicular distance from the origin to the line \(L=0\), then \(a \tan \beta+p^2=\)TS EAMCET 2024 Easy
- Statement (I) : The force of attraction due to a hollow spherical shell of uniform density on a point mass situated inside it is always positive . Statement (II) : The force of attraction between a hollow spherical shell of uniform density and a point mass situated outside is same just as if the entire mass of the shell is at the centre of the shell. Which of the following is correct?TS EAMCET 2022 Medium