Recently Active Questions

\hspace{-16}\bf{\int_{\frac{25\pi}{4}}^{\frac{53\pi}{4}}\frac{1}{(1+2^{\sin x}).(1+2^{\cos x})}dx} ...

\hspace{-16}\bf{\lim_{n\rightarrow \infty}\sum_{i=0}^{n}\;\sum_{j=0}^{n-i}\frac{x^j}{i!\;.\;j!}=} ...

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this is a gud one... find the last two digits of 32012 or find 32012 mod 100? ...

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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 ...

type karne k liye buhat sochna parta hai..... aur sochnay se buhat energy waste hoti hai.... aur energy waste honay se insaan weak ho jata hai..... aur weak honay se insaan mar bhi sakta hai.... aur marnay k baad us k lye sub ...

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\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} ...

what rank will i get with a marks of 110? can anyone tell? ...

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.. ...

Which is better IITs or IIMs? Placements/infrastructure/Academics etc ...

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. ...

The enzyme carbonic anhydrase catalyses the hydration of CO2.This reaction:CO2+H2O→H2CO3,is involved in the transfer of CO2 from tissues to the lungs via the bloodstream.One enzyme molecule hydrates 106 molecules of CO2 per ...

4.9 g of KClO3,,on heating,shows a weight loss of 0.384 g.What per cent of the original KClO3 has decomposed? ...

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