Recently Active Mathematics Questions

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In an examination hall there are four rows of chairs. Each row has 8 chairs one behind the other.There are two classes sitting for the examination with 16 students in each class.It is desired that in each row,all students bel ...

\hspace{-16}\bf{(1)\;\; \int_{0}^{\infty}\frac{\ln (x)}{x^2+4}dx}$\\\\\\ $\bf{(2)}\;\;$ Find Max. value of $\bf{\int_{0}^{1}f^3(x)dx}$\\\\\\ Given $\bf{\mid f(x)\mid \leq 1}$ and $\bf{\int_{0}^{1}f(x)dx=0}$\\\\\\ $\bf{(3)\;\; ...

\int_{\pi /2}^{5\pi /2}{ \frac{e^{tan^{-1}(sinx)}}{e^{tan^{-1}(sinx) }+ e^{tan^{-1}(cosx)}}} dx A)1 B)Ï€ C)e D)none of these ...

\hspace{-16}$Let $\bf{a\in \mathbb{R}}$. If the value of $\bf{\int_{-\pi+a}^{3\pi+a}\mid x-a-\pi\mid\sin \left(\frac{x}{2}\right)dx=-16}$\\\\\\ Then Sum of all Integer value of $\bf{a}$ in $\bf{\left[0,314\right]}$ is $\bf{k\ ...

\hspace{-16}$Find Sum of $\bf{\sec(40^{0})+\sec(80^{0})+\sec{160^0}=}$ ...

\hspace{-16}\bf{\int \frac{\sin^2(2012\; x)}{\sin \; (x)}dx} ...

consider a function f on non-negative integers such that f(0)=1 , f(1)=0 and f(n) + f(n-1) = nf(n-1) + (n-1)f(n-2) for n≥2 . Show that , \frac{f(n)}{n!} = \sum_{k=0}^{n}{\frac{(-1)^{k}}{k!}} ...

Find nc0 + nc3 + nc6 + nc9.....................nterms ...

GIVEN: The Largest number of ways in which 6 persons each throwing a single dice once make a sum of 17 is n. Then find [n/1000] where [.] is the Greatest integer function.. ...

ABCD is a rhombus.'N' is a point on AB .NP and NQ are two perpendiculars to AC and BD respectively.Find the length of PQ if AC=16 cm, BD=30 cm. ...

What is the distance x between two cities A and B in integral number of kilometres? I. x satisfies the equation log2 x = √x II. x≤10 km Plz ans in detail. ...

\hspace{-16}\mathbf{\lim_{n\rightarrow \infty}\sum_{r=0}^{n}\frac{1}{\binom{n}{r}}=} ...

\hspace{-16}\bf{\int_{-\pi}^{\pi}\frac{\sin (0.5+n)x}{2\sin (0.5)x}dx=}$\\\\\\ Where $\mathbf{n\in\mathbb{N}}$ and $\bf{0.5=\frac{1}{2}}$ ...

find ∫ x3-2/ (x3+1)3 dx ...

\hspace{-16}$Find value of $\bf{x}$ in $\bf{\lfloor 2^x \rfloor+\lfloor 3^x \rfloor=\lfloor 6^x \rfloor}$\\\\ Where $\bf{\lfloor . \rfloor}$ = floor function. ...

\hspace{-16}\mathbf{\int_{1}^{\infty}\frac{(x^3+3)}{x^6.(x^2+1)}dx=\frac{a+b\pi}{c}}$.\\\\\\ Then $\mathbf{(a,b,c)=}$ ...

∫ x2+x-1/x3+x2 -6x dx ...

Prove that 33! is divisible by 215. What is the largest integer n such that 33! is divisible by 2n? Plz give detailed ans. ...

In triangle ABC if cotA =(x3+x3+x)1/2 , cotB = (x+x-1+1)1/2 and cotC=(x-3+x-2+x-1)1/2 then find the magnitude of angle C. ...

*Image* ...

1) 2 nos. x and y are chosen at random(without replacement) from amongst 1,2,3,...3n.Find the probability that x3+y3 is divisible by 3. ...

1) 7 digits from the nos.1,2,3,...9. are written in a random order. Find the probability that this 7 digit no. is divisible by 9. ...

0.000027^(2/3)=? ...

Checkout this book to drastically improve your mental calculation abilities: http://tinyurl.com/bcummathgenius ...

Suppose p(x) is a polynomial and that p(x) - p'(x) = x^2 + 2x +1. Compute p(5). ...

if |z| = 2, then find the locus of complex number (a + bz), where a,b E R ...

Please suggest a good book for solving quality calculus problems for JEE preparation. ...

given, y = |x| + |x - 1| + |x - 3| + |x - 6| + .................. + |x - 5151| let m = no. of terms in the expression y and, n = no. of integers for which y has min. value then find the value of m + n - 18/10 ...

Eva.uate : \int_{-2n}^{2n+\frac 12}{\sin(\pi x)\left\{\frac x2 \right\}} \;\; \mathrm{d}x ...