Recently Active Mathematics Questions

The following series is in √2, 2, 2√2, 4, 4√2....... ...

Find the sum of the series 3*2+5*5+7*8+9*11+......+19*26 ...

Find the sum of the series 1-2+3-4+5-6+..........+999-1000 ...

2a{{x}^{2}}+2bx-2left( a+b ight)=0 One of the roots of this equation is ...

If α, β are the roots of the equation {{x}^{2}}-p(x+1)-c=0 , then (alpha +1),(eta +1)= ...

sqrt 3Â + i = ...

int {frac{{a{x^3} + b{x^2} + c}}{{{x^4}}}} dx equals to ...

∫ x+ x2+1 dx HOW TO INTEGRATE?? ...

1)When burnt in air,a 12.0 g mixture of carbon and sulphur yields a mixture of CO2 and SO2,in which the number of moles of SO2 is half that of CO2.The mass of the carbon the mixture contains is (a)4.08g (b)5.14g (c)8.74g (d)1 ...

{{x}^{2}}left( {{a}^{2}}+a+1 ight)-xleft( 1-{{a}^{2}} ight)-a-2=0 one of the roots of this equation is ...

100 Σ [r+0.2](r-1) =? r=1 ...

let, f( x+y/2 ) = f(x)+f(y)/2 for all real x and y and f'(0) exists and equals -1 and f(0) = 1, find f(2) ...

Find the sum to n terms: 1/4 + 1.3/4.6 + 1.3.5/4.6.8 ........... ...

1.A boat is to be manned by 9 crew with 4 on the stroke side,4 on the row side and one to steer.There are 11 crew of which two can stroke only.1 can row only while 3 can steer only.In how many ways the crew can be arranged fo ...

how many quadrilaterals can be made by joining the vertices of convex polygon of 20 sides so that the quadrilateral do not have any side common with sides of the polygon? Ans-4825 ...

if n belongs to N then proof that sinx+sin2x+sin3x+......+sinnx=(sin((n+1)/2)xsin(nx/2))/sinx/2 ...

Triangle ABC is an isosceles triangle , such that AB=AC and point D is the mid point of AC. A circle is drawn taking BD as diameter , which intersect AB at E Prove that AE = AC/4 ...

int_0^{1.5} {[{x^2}]dx} , where [.] denotes the greatest integer function, equals ...

Let a, b, c bc non-zero real numbers such that int_{,0}^{,3} {} (3,a{x^2} + 2,bx + c),,dx = int_{,1}^{,3} {} (3,a{x^2} + 2,bx + c),,dx, then ...

If a, b are the roots of the equation a{{x}^{2}}+bx+c=0 , then the equation with roots 1/a, 1/b will be ...

int {frac{{d heta }}{{sin heta ,.,{{cos }^3} heta }}}Â = ...

mathop {lim }limits_{x o 0} frac{{{x^2} - 2x}}{{2sin x}} equals ...

If {( - 7 - 24i)^{1/2}} = x - iy, then {x^2} + {y^2} = ...

int {{a^x}da = } ...

∫log(x+1) 1/x dx. from 0 to 1. ...

A EQUILATERAL TRIANGLE IS DRAWN BY 120 CIRCLES. EVERY CIRCLES HAS 1 C.M. RADIUS. FIND THE AREA OF THE TRIANGLE. ...

integration of x^2/(a+bx)^2. ...

∫(x2+3)/x6(1+x2)=? Please explain. ...

int{cos 2x.sin 4xdx} equals ...

A square root of 2i is ...