Application of Integrals4 questions4 PYQ

Application of Integrals — JEE Maths Practice Questions & Solutions

4 questions on Application of Integrals with full step-by-step solutions, including past-year (PYQ) problems. Free to practice.

mediumPYQ · JEE Main 2026
The area of the region R={(x,y):xy≤27, 1≤y≤x2}R=\{(x,y):xy\le27,\ 1\le y\le x^2\} is
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mediumPYQ · JEE Main 2026
Let the line x=−1x=-1 divide the area of the region {(x,y):1+x2≤y≤3−x}\{(x,y):1+x^2\le y\le3-x\} in the ratio m:nm:n, gcd⁡(m,n)=1\gcd(m,n)=1. Then m+nm+n is
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mediumPYQ · JEE Main 2026
The area of the region {(x,y):y≤π−∣x∣, y≤∣xsin⁡x∣, y≥0}\{(x,y):y\le\pi-|x|,\ y\le|x\sin x|,\ y\ge0\} is
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mediumPYQ · JEE Main 2026
The area of the region bounded by the curves x+3y2=0x+3y^2=0 and x+4y2=1x+4y^2=1 is equal to
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