Let (a, b) be the point of intersection of the curve x² = 2y and the straight line y - 2x - 6 = 0 in the second quadrant. Then the integral I = ∫ a ^(b) (9x²)/(1 + 5ˣ) dx is equal to:

Integral Calculus: JEE Main 2025 Mathematics question

JEE Main 2025 · April, Unspecified (session-level dataset) · Q7

JEE Main 2025April, Unspecified (session-level dataset)MathematicsMediumIntegral Calculus369× since 2002

Let

(a, b)

be the point of intersection of the curve

x^2 = 2y

and the straight line

y - 2x - 6 = 0

in the second quadrant. Then the integral

I = \int_a^b \frac{9x^2}{1 + 5^x} \, dx

is equal to:

JEE Main 2025 Integral Calculus Question with Solution (April Unspecified (session-level dataset), Q7) | JEE Arc