List of top Questions asked in AP ECET Chemical Engg

$\int \frac{dx}{\sqrt{16-25x^{2}}} =$

$\int_{-\pi/6}^{\pi/6} \frac{\sin^{5}x \cos^{3}x}{x^{4}} dx =$

$\int_{0}^{1} x\sqrt{x^{2}+4} dx =$

$\int_{0}^{\pi/2} \frac{\sin^{100}x}{\sin^{100}x + \cos^{100}x} dx =$

The integral of $f(x) = 1 + x^{2} + x^{4}$ with respect to $x^{2}$ is

If $\int \frac{\sin^{3}x + \cos^{3}x}{\sin^{2}x \cos^{2}x} dx = A\sec x + B\csc x + c$ then $(A, B)$ are}

$\int \frac{dx}{\sqrt{x+1} + \sqrt{x}} =$

$\int \frac{dx}{\sin^{2}x \cos^{2}x} =$

If $z = x^{2}y^{3} + e^{y}\sin x$, then $\frac{\partial^{2}z}{\partial x\partial y} =$

If $y(x) = x^{x}, x > 0$ then $y''(2) - 2y'(2) =$

If $y + \sin^{-1}(1 - x^{2}) = e^{x}$, then $\frac{dy}{dx} =$

If $2^{x} + 2^{y} = 2^{x+y}$ then $\frac{dy}{dx} =$

If $f(x) = \begin{cases} 4(5^{x}) & x < 0 \\ 8k + x & x \ge 0 \end{cases}$ then $f'(-1) =$

Slope of the tangent to the curve $y = 9x^{2} + 7x^{4} + 5$ at the point $x = 1$ is

If $y = \sqrt{x + \sqrt{x + \sqrt{x + ... \infty}$ then $\frac{dy}{dx} = $

If $y = \frac{(a \cos x + b \sin x + c)}{\sin x}$ then $\frac{dy}{dx} = $

The value of $\lim_{x\rightarrow 0}\frac{\sqrt{1+x} - 1}{x} = $

The value of $\lim_{x\rightarrow\infty}(1 + \frac{1}{x})^{x} = $

The equation of the ellipse with foci at ($\pm$3, 0) and the eccentricity as 1/3 is:

The length of the latus rectum and eccentricity of the Hyperbola $9x^{2} - 16y^{2} = 144$ are}

The line $y = mx + 2$ is a tangent to the parabola $y^{2} = 8x$ if}

If the parabola $y^{2} = 4ax$ passes through the point (3, 2) then the length of its latus rectum is:}

The equation of a circle whose Centre is (2, -1) and which passes through the point (3, 6) is

The equation of a circle whose Centre is $(-3, 2)$ and area is $176$ units is:

The conjugate of $(1+i)^3$ is: