JEE Main 2025 — Area Under Curves Question with Solution
JEE Main 2025 (29 Jan Shift 1)
Question
Let the area of the region be A. Then 6 A is equal to :
Choose an option
Show full solutionCorrect option: C
Correct answer
C14
Step-by-step explanation
Rectangle ABDE - Area of region EDC $\begin{aligned} & A \Rightarrow 4-2 \int_0^1(3-x)-\left(\frac{x^2+3}{2}\right) d x \\ & A \Rightarrow 4-2\left\{3 x-\frac{x^2}{2}-\frac{x^3}{6}-\frac{3}{2} x\right\}_0^1 \\ & A \Rightarrow 4-2\left\{3-\frac{1}{2}-\frac{1}{6}-\frac{3}{2}\right\}=\frac{7}{3} \end{aligned}$ So
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This is a previous-year question from JEE Main 2025, covering the Area Under Curves chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.