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List of top Mathematics Questions on integral asked in MHT CET

Evaluate the integral: \[ \int \frac{x^2 + 2x}{\sqrt{x^2 + 1}} \, dx \]
Evaluate the integral: \[ \int \sqrt{x^2 + 3x} \, dx \]
The value of the integral \( \int_0^1 x^2 \, dx \) is:
The value of the definite integral \( \int_0^{\pi} \sin^2 x \, dx \) is:
The solution of the differential equation \( y^2 dx + (x^2 - xy + y^2) dy = 0 \) is
The order and degree of the differential equation \( \sqrt{\frac{dy}{dx}} - 4 \frac{dy}{dx} - 7x = 0 \) are respectively

The value of : \( \int \frac{x + 1}{x(1 + xe^x)} dx \).