List of top Mathematics Questions

Integrate the function: \(\frac{2\cos x-3\sin x}{6 \cos x+ 4\sin x}\)
Integrate the function: \(\frac{\sin^{-1}x}{\sqrt{1-x^2}}\)
Integrate the function: \(sec^2 (7 -4x)\)
Integrate the function: \(tan^ 2 (2x -3)\)
Integrate the function: \(\frac{e^{2x}-e^{-2x}}{e^{2x}+e^{-2x}}\)
Integrate the function: \(\frac{e^{2x}-1}{e^{2x}+1}\)
Integrate the function: \(\frac{e^{\tan^{-1}}}x{1+x^2}\)
Integrate the function: \(\frac{x}{e^{x^2}}\)

Find the coordinates of the focus, the axis of the parabola, the equation of directrix, and the length of the latus rectum for \(x^2 = 6y\)

Integrate the function: \(e^{2x+3}\)
Integrate the function: \(\frac{x}{9-4x^2}\)
Integrate the function: \(\frac{1}{x(\log x)^m}, x>0\)
Integrate the function: \(\frac{x^2}{(2+3x^3)^3}\)

 
Integrate the function: \((x^3-1)^{\frac{1}{3}}x^5\)
Integrate the function: \(\frac{x}{\sqrt {x+4}}, \,x>0\)
Integrate the function: \(\frac{1}{x- \sqrt x}\)
Integrate the function: (4x + 2)\(\sqrt {x^2+x+1}\)
Integrate the function: \(x \sqrt {1+2x^2}\)
Integrate the function: \(x \sqrt{x+2}\)
Integrate the function: \(\sqrt {ax+b}\)
Integrate the function: sin(ax + b) cos(ax + b)
Integrate the function: sin x. sin (cos x)
Integrate the function: \(\frac{1}{x+x\log x}\)
Integrate the function: \(\frac{(\log x)^2}{x}\)
Integrate the function: \(\frac{2x}{1+x^2}\)