enEnglishguગુજરાતી
GUJCET · Maths · Application of Integrals
The area of the region bounded by line \(y=3-x, X\)-axis and lines \(x=2\) and \(x=5\) is _________。
- A \(\frac{3}{2}\)
- B 3
- C \(\frac{5}{2}\)
- D \(\frac{1}{2}\)
Answer & Solution
Correct Answer
(C) \(\frac{5}{2}\)
Step-by-step Solution
Detailed explanation
\(A = \int_{2}^{5} |3-x| dx = \int_{2}^{3} (3-x) dx + \int_{3}^{5} (x-3) dx\) \(A = \left[3x - \frac{x^2}{2}\right]_{2}^{3} + \left[\frac{x^2}{2} - 3x\right]_{3}^{5}\)
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 lines \(\frac{x-3}{-3}=\frac{y-2}{2 k}=\frac{z-3}{2}\) and \(\frac{x-1}{3 k}=\frac{y-1}{1}=\frac{6-z}{5}\) are perpendicular to each other then, \(k=\) _________ .GUJCET 2024 Hard
- The order and degree of the differential equation \(\sqrt{\frac{d^2 y}{d x^2}}=\sqrt[3]{\left(\frac{d y}{d x}\right)^4+2}\) are ____________ and ____________ .GUJCET 2024 Easy
- Area of the region bounded by \(x^2=4 y\), \(X\)-axis and \(x=3\) is _________ sq. units.GUJCET 2024 Hard
- Minimize objective function \(Z=3 x+2 y\) subject to the constrains:
\(x+y \geq 8, x+y \leq 5, x \geq 0, y \geq 0\) is _________ . .GUJCET 2023 Hard - If \(\cos \left(\cos ^{-1} \frac{\sqrt{3}}{2}+\sin ^{-1} x\right)=1\), then find value of \(x\).GUJCET 2023 Hard
- \(\int_0^1(0.001)^{\frac{x}{3}} e^x d x=\) _________.GUJCET 2023 Hard
More PYQs from GUJCET
- \(\frac{d}{d x}\left(\log _{|x|} e\right)=\) __________GUJCET 2018 Medium
- Which of the following graph has intercept equal to zero ?GUJCET 2020 Hard
- Select proper statement from following true (T) and False (F) Statements.
(i) Pentose sugar + base → Nucleotide
(ii) Nucleotide + phosphate → Nucleoside
(iii) DNA contains four bases A, G, C and T
(iv) RNA contains four bases A, G, C and U.GUJCET 2022 Easy - The refractive index of air with respect to vacuum is ________ .GUJCET 2023 Medium
- If \(y = \log_{2026}(\log_{2025}x)\) then \(\frac{d y}{d x}=\) ___________.GUJCET 2026 Medium
- \(\cos \left(\sec ^{-1} 2\right)+\tan \left(\cot ^{-1} \sqrt{3}\right)+\sin\left(\operatorname{cosec}^{-1} \frac{2}{\sqrt{3}}\right)\)\(=\) ____________。GUJCET 2023 Medium