JEE Advanced · Mathematics · 27. Definite Integration
Match the integrals in Column I with the values in Column II.
- A
A-s; B-p; C-p; D-q
- B
A-r; B-s; C-q; D-r
- C
A-s; B-s; C-p; D-r
- D
A-r; B-q; C-p; D-s
Answer & Solution
Correct Answer
(C)
A-s; B-s; C-p; D-r
Step-by-step Solution
Detailed explanation
(A) 
(B)
(C)
(D)
(B)
(C)
(D)
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 Mathematics
- If \(I_n=\int_{-\pi}^\pi \frac{\sin n x}{\left(1+\pi^x\right) \sin x} d x ; n=0,1,2\), \(\ldots\), thenJEE Advanced 2009 Medium
- Paragraph:
Let \(S=S_{1} \cap S_{2} \cap S_{3}\), where
\(S_{1}=\{z \in \mathbb{C}:|z|<4\}, \quad S_{2}=\left\{z \in \mathbb{C}: \operatorname{Im}\left[\frac{z-1+\sqrt{3} i}{1-\sqrt{3} i}\right]>0\right\}\) and \(S_{3}=\{z \in \mathbb{C}: \operatorname{Re} z>0\}\).
Question:
\(\min _{z \in S}|1-3 i-\mathrm{z}|=\)JEE Advanced 2013 Medium - Paragraph:
Consider the lines: \(L_1: \frac{x+1}{3}=\frac{y+2}{1}=\frac{z+1}{2}, L_2: \frac{x-2}{1}=\frac{y+2}{2}=\frac{z-3}{3}\)Question:
The distance of the point \((1,1,1)\) from the plane passing through the point \((-1,-2,-1)\) and whose normal is perpendicular to both the lines \(L_1\) and \(L_2\), isJEE Advanced 2008 Easy - Let \(f:[1, \infty) \rightarrow[2, \infty)\) be a differentiable function such that \(f(1)=2\). If \(6 \int_1^x f(t) d t=3 x f(x)-x^3\) for all \(x \geq 1\), then the value of \(f(2)\) isJEE Advanced 2011 Easy
- Tangent is drawn at any point \(P\) of a curve which passes through \((1,1)\) cutting \(X\)-axis and \(Y\)-axis at \(A\) and \(B\), respectively. If \(A P: B P=3: 1\), thenJEE Advanced 2006 Hard
- Let \(A_1, B_1, C_1\) be three points in the \(x y\)-plane. Suppose that the lines \(A_1 C_1\) and \(B_1 C_1\) are tangents to the curve \(y^2=8 x\) at \(A_1\) and \(B_1\), respectively. If \(O=(0,0)\) and \(C_1=(-4,0)\), then which of the following statements is (are) TRUE?JEE Advanced 2024 Medium
More PYQs from JEE Advanced
- A uniform rod of length \(L\) and mass \(M\) is pivoted at the centre. Its two ends are attached to two springs of equal spring constants \(k\). The springs are fixed to rigid supports as shown in the figure, and rod is free to oscillate in the horizontal plane. The rod is gently pushed through a small angle \(\theta\) in one direction and released. The frequency of oscillation is
JEE Advanced 2009 Medium - The correct statement(s) about O3 is(are)JEE Advanced 2013 Medium
- Paragraph:
Two plane harmonic sound waves are expressed by the equations.
\(\begin{aligned}
& y_1(x, t)=A \cos (0.5 \pi x-100 \pi t) \\
& y_2(x, t)=A \cos (0.46 \pi x-92 \pi t)
\end{aligned}\)
(All parameters are in MKS)
Question:
At \(x=0\) how many times the amplitude of \(y_1+y_2\) is zero in one second at \(x=0\) ?JEE Advanced 2006 Medium - The number of hydroxyl group(s) in Q is
JEE Advanced 2015 Medium - Let \(\mathbf{a}=-\hat{\mathbf{i}}-\hat{\mathbf{k}}, \mathbf{b}=-\hat{\mathbf{i}}+\hat{\mathbf{j}}\) and \(\mathbf{c}=\hat{\mathbf{i}}+2 \hat{\mathbf{j}}+3 \hat{\mathbf{k}}\) be three given vectors. If \(\mathbf{r}\) is a vector such that \(\mathbf{r} \times \mathbf{b}=\mathbf{c} \times \mathbf{b}\) and \(\mathbf{r} \cdot \mathbf{a}=0\), then the value of \(\mathbf{r} \cdot \mathbf{b}\) isJEE Advanced 2011 Medium
- Match the orbital overlap figures shown in List-I with the description given in List-II and select the correct
answer using the code given below the lists.List – I List - II A. 
P antibonding B. 
Q bonding C. 
R bonding D. 
S antibonding JEE Advanced 2014 Medium