Recently Active Calculus Questions

\frac{y-1+\left|x-1 \right|}{y-x^{2}+2x}\leq 0 ...

For n belonging to N, find the value of the definite integral \int_{0}^{n\Pi +V}{\sqrt{(1+cos2x)/2}dx} where \Pi /2<V<\Pi ...

Find the value of \int_{0}^{infinity}{x^{2n+1}.e^{-x^2}dx} ...

y=f(x) is a curve defined as x = 1-3t2 y = t-3t3 h(x) = |f(x)| + f(x) g(x) = |f(x)| - f(x) then a∫b h(x) dx is equal to (A) a∫b g(x) dx (B) b∫a g(x) dx (C) b∫a g(x) dx only if a,b →[0,1] (D) None of these ...

The number of possible continuous f(x) defined in [0, 1] for which I1 = \int_{0}^{1}{f(x)dx}= 1, I2=\int_{0}^{1}{x.f(x)dx}=a I3=\int_{0}^{1}{x^{2}.f(x)dx}=a^{2} is ? ...

2^{\left|x \right|}\left|y \right|+2^{\left|x \right|-1}\leq 1,\left|x \right|\leq \frac{1}{2},\left|y \right|\leq \frac{1}{2} ...

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b=\int_{0}^{1}{\frac{e^t}{t+1}} dt then\int_{a-1}^{a}{\frac{e^-t}{t-1-a}}dt=? in terms of a and b ...

\left|x \right|+\left|y \right|< 4,log_{2}(2y-x^{2}+4)>log_{2}(y+1) ...

f(x) + f(x+a) + f(x+2a) + ... + f(x+na) = -f(x-a) \vee x \epsilon R ; a>0 What is the period of f ...

find THE area enclosed by da curve x^2 + y = 9, X-axis, and lines x=-1 & x=2 ...

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\int_{4}^{x}{t^{2}-8t+16dt} on [0,5] is: ...

\int_{1}^{4} {x}[x] dx given ans is 13/12..... ...

Find Lim λ------>0 \left(\int_{0}^{1}{(1+x)^\lambda } \right)^{(1/\lambda )} i forgot kindly add dx to the bracket including the integral! ...

The absolute value of ∫(sinx/1+x8)dx from 10 to 19 is less than: a.)10-10 b.)10-11 c.)10-7 d.)10-9 Please give the solution! ...

Find no of functions satisfying f(x)^{f(y)}=f(x)+f(y) .. ...

\int 2(cos2x)/(2-2sin^22x) \delta x ...

page 25.18- Example 37, They hav clearly mentioned a>b; But all the options are having b-a . How is that possible?? ...

Sir I am nott good in gamma functions in integration........plzzzz help ...

QIf the tangent to the curve y=f(x) forms angle pi/3 and pi/4 with X axis at points x=a and x=b respectively then evaluate a to b ∫ f'(x)f" (x) dx My method::: Integating by parts taking f'(x) as first function , I =[f '2(x ...

Hello ppl i have started this thread to approach integral Calculus In this post you have to post integral probs. Next question can only be posted after the first is answered so that it is easy for ppl to revise. I would like ...

∫tan-1(sin x) dx ...

\int tan^-^1\sqrt{x} ...

Some one please post page 26.43 from TMH Maths for jee 2008...Atleast upper half of the page.. The printing is not at all proper in my copy!!- Urgent ...

Can anyone prove that sin-1x=-cos-1x + c I forgot the c ...

Example 14, how they got x in front of that log term??? ...

Can someone paste page 26.43 (upperhalf) of TMH mathematics - Course in Mathematics for IIT-JEE-2008. It is not printed properly, please!! ...

If n ε N then prove \int_{-n}^{n}{(-1)^{\left|x \right|}}dx=0 mera method bahut hi bekaar thaa......koi acha method batao....... ...

\int_{0}^{1} ({2x}-1)({3x}-1) dx=????????? i got 19/72 after a long method.......... half page [2][2].... Whats ur answer........and plz post a shorte method if any ...