List of top Mathematics Questions

Find the coordinates of the focus, the axis of the parabola, the equation of directrix, and the length of the latus rectum for \(y^2 = 10x\)

Which term of the following sequences: 

(a) 2 ,\(2\sqrt{2}\) , 4 ,.... is 128 ?

 (b) \(\sqrt{3}\), 3, \(3\sqrt{3}\),... is 729 ? 

(c) \(\frac{1}{3},\frac{1}{9},\frac{1}{27}\) ,.... is \(\frac{1}{19683}\) ?

Prove that \(tan\,4x=\frac{4\,tanx(1-tan^2x)}{1-6\,tan^2x+tan^4x}\).

Find the coordinates of the focus, the axis of the parabola, the equation of directrix, and the length of the latus rectum for \(y^2 = 12x\).

Prove that cotx cot2x-cot2x cot3x-cot3x cotx=1.
Find the integrals of the function: \(sin^4 x\)
Find the integrals of the function: \(\frac{cos x}{1+cos x}\)
Find the integrals of the function: \(\frac{1-cosx}{1+cosx}\)
Find the integrals of the function: \(sin\, 4x\,\, sin\, 8x\)
Find the integrals of the function: \(sin\, x\,\, sin\, 2x\,\, sin\, 3x\)
Find the integrals of the function: \(sin^3 x\, cos^3 x\)
Find the integrals of the function: \(sin^2 (2x + 5)\)
Integrate the function: \(\frac{x^3 \sin(\tan^{-1}x^4)}{1+x^8}\)
Integrate the function: \(\frac{(x+1)(x+log x)^2}{x}\)
Integrate the function: \(\frac{(1+\log x)^2}{x}\)
Integrate the function: \(\frac{\sqrt {\tan x}}{\sin x \cos x}\)
Integrate the function: \(\frac {1}{1-tan \ x}\)
Integrate the function: \(\frac {1}{1+cot \ x}\)

Find the coordinates of the focus, the axis of the parabola, the equation of directrix, and the length of the latus rectum for \(x^2 = - 16y\)

Integrate the function: \(\frac {sin \ x}{(1+cos\  x)^2}\)
Integrate the function: \(\frac {sin\  x}{1+ cos \ x}\)
Integrate the function: \(\frac {cos \ x}{\sqrt {1+ sin \ x}}\)
Integrate the function: \(\sqrt {\sin2x}\cos 2x\)
Integrate the function: \(\frac{\cos \sqrt x}{\sqrt x}\)
Integrate the function: \(\frac{1}{\cos^2x(1-\tan x)^2}\)