Recently Active Mathematics Questions

Please post a brief soln to the problem 1) The no. of right triangles with integer sides and inradius r=2013 2)Let a,b,c,d be non zero digits. If n is the no. of 4 digit no.s abcd such that ab+cd is even, then last digit of n ...

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∫x6 / 1+x5 dx ∫x / 1+x5 dx ...

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∫(x3m+x2m+xm)(2x2m+3xm+6)1/mdx .For any natural no. m, x>0. ...

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∫sec2x/(secx+tanx)9/2 ...

If ∑ sign denotes the summation over something, then underset{k=1}{overset{n}{mathop sum }},(2k-3) = a) 2400 b) 2450 c) 2500 d) 2550 ...

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INTEGRATE: 1) (x3+3)/x6(x2+1). Upper limit=∞;Lower limit=0 2) xe-x/( 1-e-2x ). Upper limit=0;Lower limit=∞. 3) If f(x) be a function satisfying f'(x)=f(x) with f((0)=1 and g be the function satisfying f(x) + g(x)=x2,then ...

Integrate: 1) [(x-1) x4+2x3-x2+2x+1 ]/x2(x+1) 2) (x2-1)/(x3 2x4-2x2+1 ) ...

INTEGRATE: emsin-1x ...

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Integrate: 1) ( sinx )/( sinx + cosx ) 2) xln(x)/(x2-1)3/2. ...

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If sin α + sin β = a and cos α + cos β = b,then prove that sin(α + β) = (2ab/a2 + b2) ...

if α,β are two different values of θ lying between 0 and 2Πwhich satisfy the equation 6 cos θ + 8 sin θ = 9,then find the value of sin(α + β). ...

(tanB sinB)/(sec2B – 1) is the same as a) 1 b) sin B c) cos B d) None ...

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If angle θ is divided into two parts such that the tangent of one part is λ times the tangent of the other, and α is their difference,show that sinθ = (λ+1/λ-1)sinα ...

\hspace{-16}$If $\bf{\mathbb{S} = \sum_{r=4}^{1000000}\frac{1}{r^{\frac{1}{3}}}}.$ Then value of $\bf{\left[\mathbb{S}\right] = }$\\\\\\ where $\bf{[x] = }$ Greatest Integer function ...

Integrate this: \frac{x^{3}sin^{-1}x}{\sqrt{1-x^{2}}} ...

If f(x)=∫xa 1/f(x) dx (x>0) and ∫1a 1/f(x) dx= 2 ,then f(50) is: ...

The minimum value of mod of(sinA + cosA + tanA + secA + cotA + cosecA) is 2 2 -k.Find k ...

PROVE THAT : iim x100ln(x)/extan-1(π/3 + sinx)=∞ x→∞ ...

If f(x) and φ(x) are continuous function in[0,4] satisfying f(x)=f(4-x),φ(x) + φ(4-x)=3 and ∫40f(x)dx=2,then the value of ∫40 f(x)φ(x)dx is: NOTE:The upper and lower limits are 4 and 0 ...

Can anyone tell me where I can download the solutions to R.D. Sharma in pdf format? Thanks in advance. Please post the complete link. ...

The value of 〖(2-a)〗3+ 〖(2-b)〗3+ 〖(2-c)〗3- 3(2-a)(2-b)(2-c) when a + b + c = 6, is: 3 -3 2 0 ...

ax = by= cz b2 = ac Then express y in the terms of x and z. OPTIONS A) 2xz/x + z B) xz/2(x - z) C) xz/2(z - x) D) 2xz/x - z E) 2xz/z - x F) xz/2(x + z) I tried it many times but could not solve it. Can anybody please help me? ...

If x2-x+1=0 and the two roots of the equation are α and β;then find the value of α2013+β2013. ...