List of top Mathematics Questions on Integration asked in Bihar Board XII

\(\int \frac{dx}{x^2 + 4} \)

Integrate \[ \int \sin^3 x \, dx. \]

Integrate \[ \int \frac{dx}{\sqrt{x+1} + \sqrt{x+2}}. \]

Evaluate the integral \[ \int \cos^3 x \cdot \sin x \, dx. \]

Evaluate the integral \[ \int \frac{x^2 - 1}{x^2 + 4} \, dx. \]

If \( y = \sin(xy) \), then find \( \frac{dy}{dx} \):

Evaluate the integral: \[ \int (x+2)^2 \, dx = ? \]

Evaluate the integral: \[ \int \sqrt{1 + \cos 2x} \, dx = ? \]

Evaluate the integral: \[ \int \frac{\log x}{x} \, dx = ? \]

Evaluate the integral: \[ \int \frac{\cos \sqrt{x}}{\sqrt{x}} \, dx = ? \]

Evaluate the integral: \[ \int \sqrt{\cos x} \cdot \sin x \, dx = ? \]

Evaluate the integral: \[ \int \frac{1 - \sin 2x}{dx} \]

Evaluate the integral: \[ \int \cot^2(x) \, dx \]

Evaluate: \(\displaystyle \int (x + \cos 2x) \, dx = \)

Evaluate: \(\displaystyle \int e^x \left( \sin^{-1} x + \frac{1}{\sqrt{1 - x^2}} \right) dx = \)

Evaluate: \(\displaystyle \int \frac{dx}{x(x+2)} = \)

Evaluate: \(\displaystyle \int \sqrt{a^2 - x^2} \, dx = \)