WBJEE · Maths · Definite Integration
The value of \(\int_{0}^{5} \max \left\{x^{2}, 6 x-8\right\} d x\) is
- A 72
- B 125
- C 43
- D 69
Answer & Solution
Correct Answer
(C) 43
Step-by-step Solution
Detailed explanation
\(\int_{0}^{5} \max \left\{x^{2}, 6 x-8\right\} d x\) Let \(f(x)=x^{2}-6 x+8\) \(\quad=(x-4)(x-2)\) \(\therefore\) For \(x \in[0,2] \cup[4,5], f(x)>0\) and in \(x \in[2,4], f(x) < 0\)…
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 quadratic equation \(a x^2+b x+c=0(a\gt0)\) has two roots \(\alpha\) and \(\beta\) such that \(\alpha \lt -2\) and \(\beta\gt2\) thenWBJEE 2024 Easy
- A particle is moving in a straight line. At time \(t\), the distance between the particle from its starting point is given by \(x=t-6 t+z\). Its acceleration will be zero atWBJEE 2009 Easy
- Letf \(: \mathbb{R} \rightarrow \mathbb{R}\), be twice continuously differentiable (or \(f\) " exists and is continuous) such that \(f(0)=f(1)=f^{\prime}(0)=0\). ThenWBJEE 2020 Easy
- In \(\mathrm{a} \triangle \mathrm{ABC}, 2 \operatorname{acsin} \frac{\mathrm{A}-\mathrm{B}+\mathrm{C}}{2}\) is equal toWBJEE 2010 Medium
- Under which of the following condition(s) does(do) the system of equations \(\left(\begin{array}{ccc}1 & 2 & 4 \\ 2 & 1 & 2 \\ 1 & 2 & (a-4)\end{array}\right)\left(\begin{array}{l}x \\ y \\ z\end{array}\right)=\left(\begin{array}{l}6 \\ 4 \\ a\end{array}\right)\) possesses (possess) unique solution?WBJEE 2022 Easy
- Consider the system of equations
\(\begin{array}{cc}
x+y+z & =0 \\
\alpha x+\beta y+\gamma z & =0 \\
\alpha^{2} x+\beta^{2} y+\gamma^{2} z & =0
\end{array}\)
Then the system of equations hasWBJEE 2013 Easy
More PYQs from WBJEE
- If \(\mathrm{A}\) and \(\mathrm{B}\) are two matrices such that \(\mathrm{A}+\mathrm{B}\) and \(\mathrm{AB}\) are both defined, thenWBJEE 2011 Easy
- If \(x \frac{d y}{d x}+y=x \frac{f(x y)}{f^{\prime}(x y)}\), then \(|f(x y)|\) is equal toWBJEE 2022 Easy
- An electron in Hydrogen atom jumps from the second Bohr orbit to the ground state and the difference between the energies of the two states is radiated in the form of a photon. This photon strikes a material. If the work function of the material is 4.2 eV , then the stopping potential is (Energy of electron in n -th orbit \(=-\frac{13.6}{\mathrm{n}^2} \mathrm{eV}\) )WBJEE 2025 Medium
- For the function \(f(x)=\left[\frac{1}{[x]}\right]\) where \([x]\). the greatest integer less than denotes the greater the following statemen equal to \(x\), which of the are true?WBJEE 2015 Easy
- When a semiconducting device is connected in series with a battery and a resistance, a current is found to flow in the circuit. If however, the polarity of the battery is reversed, practically no current flows in the circuit. The device may beWBJEE 2017 Easy
- Let \(\cos ^{-1}\left(\frac{y}{b}\right)=\log \left(\frac{x}{n}\right)^{n}\). ThenWBJEE 2020 Hard