Recently Active Calculus Questions

f(x)= x^{2} +1 ,x<3 f(x)=5,x=3. f(x)=1- x^{2} ,x>3. g(x)=logx,0<x≤e g(x)=3 x>e. and h(x)=(fog)x-(gof)x....... then,h(1)+h'(1) is equal to...... a.log2 b)log(1/2) c)log(2/e) d)log(2e)... here log is to the base ' ...

\int \frac{1}{1+x^{2n}}dx ...

I = \int^{h/2}_{-h/2} \left( \frac{4x^2}{3} + \frac{2l^2}{3} \right)^{\frac{1+n}{2n}}dx ...

dθ/√sinθ ...

What is the no of real roots in 2\left|x^3 \right| + 3x^2 -12\left|x \right| + 1 = 0 ? ...

PLEASE EXPLAIN WITH EXAMPLES AND GRAPH ...... WHAT IS REMOVABLE , JUMP AND OTHER VAROIUS FORMS OF DISCONTINUITY [1] ...

Let f be a real valued function defined for all real x such that for some fixed real number a > 0, such that.. \huge f(x+a)=\frac{1}{2}+\sqrt{f(x)-(f(x))^2} and \huge \frac{1}{2}\leq f(x)\leq 1, \forall x Show that f(x) is ...

*Image* *Image* *Image* ...

∫dx/(x+3)8/7(x-2)6/7 ...

evaluate:limit x--->0 ln(1+(sinx)^2) / tan[(ln(1+x))^2] ...

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) ...

i was integrating (tan-1x)2............and i am stuck here..... HOW do we integrate t.tant??? ie ∫t.tantdt..........plzzzzz help ...

find d value of p such there exists only 1 soln.... |logmx|=px ...

if f(x) =x+√2αsinx,x<pi/4 f(x)= 2xcotx - β x≥pi/4 is a continuous function,then (1+tanα)(1+tanβ) =? a)1 b)-1 c)2 d) -2 pls explain in detail........ ...

Find the limit to: *Image* A.)1 B.)-1 C.)0 D.)Do not exist ...

A non zero polynomial with real coefficients have the following property: f(x)=f'(x)f"(x). Then find the leading coefficients of f(x). ...

Find the limit *Image* the options are: A.)1 B.)0 C.)Î /2 D.)does not exist ...

f(x) = \left[tan^{100}x \right] find \int_{0}^{tan^{-1}(\sqrt[100]{4})}{f(x)dx} ...

Simplify \prod_{n=1}^{\infty }{cos(\frac{x}{2^n})} it comes out to be \frac{sinx}{x} but how? ...

Find the limit to: *Image* the options are: A.)(a-b)/3 B.)0 C.)(a2-b2)/6a2b2 D.)(a2-b2)/3a2b2 ...

∫mod(sinx+cosx) ...

People living at Mars, instead of using the usual definition of derivative D f(x), defined a new king of derivative, D*f(x) by the formula: D*f(x)=Limit h------>0 f2(x+h)-f2(x) ___________ h where f2x means [f(x)]2. If f(x ...

Let f(x) be a differentiable funtion satisfying (x-y).f(x+y) - (x+y).f(x-y) = 4xy(x2 - y2) for all x,y \in R , and f(1)=1. Then , ........................... ...

\int \frac{arc tan(e^{x})}{e^x}dx ...

which of the foll. is differentiable At x=0? a)cos([x]) - [x] b)sin([x]) +[x] c)sin([x])- [x] d)cos([x]) + [x] where[.] represents modulus. pls give reason. ...

1] \int_{-1}^0 \sqrt{\frac{1+x}{1-x}}dx ...

*Image* aisa kuch hota hai kya.... [11][12] ...

We all know that all periodic functions can be formed from only trigonometric and inverse trigonometric functions. How can you express {x} and [x] in the above mentioned form? Basically, {x} = some t function and [x] = some o ...

*Image* ...

*Image* ...