Popular Calculus Questions

this thread is only for integration sums............ AND YA FORGOT TO TELL ALL TARGETIT USERS, I HAVE COPIED ALL THESE SUMS. SO KISIKO GAALI DENA HAIN YA KUCH KEHNA HAIN, PLEASE VISIT http://targetiit.com/profile711.html AND ...

Q1. lim(x→2a) [ x-2a + x - 2a ]/[ x2 -4a2] Q2. lim(x→∞)2x( x2+1 - x) ...

o∫pi/2 dx/ 1-ksin2x yeh pleeeeeeeeeez koi banao .... kal poori saat nahi so payee theek se.. iske chalte... have bcome dumb in integration i think :( :( ...

1)FInd area bounded by mod(y)=e-mod(x) with [mod(x)+mod(y)]/2 + [mod(x)-mod(y)]/2 ≤2 2)Find area of region at point P satisfying maximum{PA+PB,PB+PC}<2 where A=(1/2 ,0) ,B=(3/2 , 0) ,C=(5/2 , 0) ...

Q1 \lim_{n\rightarrow infinity}(\frac{1}{n^{100}}\sum_{r=1}^{n}{r^{99}}) ...

A compilation of quesitons similar to the way bhargav had one :P (hence borrowed a part of the name..) Keep solving and i will keep adding questions here... To begin with first 5 are here... Question 1) \left(\frac{dy}{dx}+1\ ...

Hi T IIT IIANS !!! ...

1) Evaluate limx->infinity cosx/x or explain why it doesnt exist? 2) Evaluate lim t->4 (t- 3t+4 )/t-4 or explain why it doesnt exist? 3) Evaluate lim x->1 x-1 / x-1 or explain why it doesnt exist? 4) Let f(x)= sinx/x ...

FIND THE INVERSE OF x+Sinx AND ALSO DRAW THE THE GRAPH OF BOTH THE FUNCTIONS ...

Find the area bounded by the curves x2+y2=4, y=x2+x+1, y=[sin2(x/4)+cos(x/4)] and the x-axis,where [.] denotes greatest integer function!! ...

ISKO BANAO IN ALL THE POSSIBLE QUADRANTS DON'T DRAW IN ONLY 1 QUADRANT DRAW EVERYWHERE IT IS POSSIBLE!!!!!!!!!!!!!! y=2{x} simple but a good 1 ...

If P (x) is a polynomial of least degree that has a maximum equal to 6 at x = 1 , and a minimum equal to 2 at x = 3 , then01∫ P(x) dx equals 1. 17/4 2. 13/4 3. 19/4 4. 5/4 A point 'P' moves in xy plane in such a way that [| ...

∫[tan^(-1)x]^2dx limit is 0 to 1 ...

Q 1) Prove that f(x)=\frac{x^7}{7}-\frac{x^6}{6}+\frac{x^5}{5}-\frac{x^4}{4}+\frac{x^3}{3}-\frac{x^2}{2}+x-1 has exactly one real root Q 2) In 1 hour a snail travels 60 meters. Prove that there was an Interval of 10 minutes w ...

Evaluate: \lim_{n\to\infty}\dfrac{1}{n}\sum_{k=1}^n\left(\left[\dfrac{2n}{k}\right]-2\left[\dfrac{n}{k}\right]\right) Here [x] represents the greatest integer less than or equal to . ...

limn→∞ (n!/(nk)n)1/n please do solve this even if it seems simple i don't think answer should be 1/(2k) but if you get this somehow it'll be very interesting ...

Evaluate: lim {x}/tan{x} x-->0 ...

*Image* PLEASE SOLVE THIS 1 ...

chatle chalte ye sawaal bhj dekhe: q1)the graph of y=f(x) is symmetrical abt the lines x=1 and x=2,then a)f(x+1)=f(x) b)f(x+2)=f(x) c)f(x+3)=f(x) d)none q2)lim x->oo ( (x+5)tan-1(x+5) + (x+1)tan-1(x+1) a)Ï€/2 b)Î c)2Î d)no ...

Find all continuous functional equations f:R→R+ , such that if x,y and z are succesive in A.P., f(x), f(y) and f(z) are succesive terms in GP ...

Find all the values of m for which equation (x2+x+1)2-(m-3)(x2+x+1)+m=0 (where m is a rel parameter) will have real roots ...

Let f'(sinx)<0 and f"(sinx)>0, for all x belonging to (0,pi/2) and g(x)=f(sinx)+f(cosx) then.. a) g(x) is increasing in x ε (0,pi/4) b) g(x) is increasing in x ε (pi/4,pi/2) c) g(x) decreases in (0,pi/4) d) g(x) is in ...

1. \int \frac{x^2}{\sqrt{1- x^2}} 2. \int \frac{x^3}{\sqrt{1- x^2}} 3 . \int \frac{dx}{( x^2 + 1 ) ^2 } = \frac{A}{148}\tan^{-1} x +\frac{x}{2(x^2 + 1)} find value of A 4 . \int \frac{(1+ logx )dx}{\sqrt{x^{2x}-1}} for practi ...

Q1 f(x)=e1/(x-1) Q2 y2=(x2-a2)/x2 ...

I thought sir is having busy days so why not we start a thread 4 the calculus I will daily post question on calculus (both integral and differential) So lets take off[1] Q1 If [x] denotes the integral part of x , then the dom ...

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This thread features my doubts in integration problems.....others can feel free to post their own!!! OK HERE GOES: I came across these questions in Brilliant Tutorials Elite Course ...... (I) Both of the questions below have ...

Q1)The value of ∫a1[x]f'(x)dx,a>1,where [x] denotes the greatest integer not exceding x is? Q2) If I1=∫01 2x2dx ;I2=∫012x3dx ;I3=∫12 2x2dx; I4=∫122x3dx then a)I1>I2 b)I2>I1 c)I3>I4 d)I3=I4 Pls explain th ...

how to find inverse by graph! let take example x+sinx?? ...