Recently Active Calculus Questions

integration a.secx + b.cosecx dx sinx + cosx limits 0 to pi/2 awkwardly enuf i am getting 0 [11] ...

Q What is the solution for the differential equation ydx+(x+x2y)dy=0 ? ...

*Image* plz solve............... ...

Prove the following:(for a2<1) π a)∫ln(1-2acosθ+a2)dθ= 0 is a<1 & 2πlna if a>1 0 π b)∫ln(1-2acosθ+a2)cosnθdθ= -(π.an)/n 0 ...

*Image* ...

BY FIRST PRINCIPAL PLZ>......... cos-x2 cos-(e√tanx) ...

If 0∫x f(t)dt = x + x∫1 t f(t)dt , Find f(1). I am getting two answers for this!! Pls. try it & explain!! ...

1) Let f(x) be a polynomial satisfying f(0)=2, f' (0)=3 and f'' (x)=f(x). Then find f(4). ...

Plot : 2mod(x)mod(y)+2mod(x)-1≤1,mod(x)≤1/2 and mod(y)≤1/2 ...

If f(2)=2 ,f'(2)=1 Find *Image* ...

LIMITS.....plz solve *Image* *Image* ...

Q1)∫0pi/4 sin x+cos x/9+16sin 2x Q2)∫0 pi/2 sin2x tan-1(sinx)dx ...

Q I = 0∫π log(1+cos x)dx ...

Integrate: ∫dx/sin4x+cos4x ...

hey plz check this one i m getting the ans ln(x/x+1)+1/x-1/2x2+c *Image* ...

Lt x→0 (1+3x+2x2)^(1/x) ...

if I = 0∫1 dx/ [(5+2x-2x2)(1+ e2-4x)] and, I1 = 0∫1 dx/ (5+2x-2x2) , then... a) I = I1 b) I = 2 I1 c) 3I = 5 I1 d) not. ...

y=√x+√y+√x+√y+............to ∞ then dy/dx= ...

Is there something called Newton- Leibnitz theorem in integral calculus????? ...

how to draw the graph {x} and please help me to draw the graph y={x}2 and {x}={y} ...

COMPREHENTION: if f:R---->R & f(x) is differentiable function such that all its succesive derivatives exists f'(x) can be taken 0at discrete points only & f(x).f''(x)≤ 0 for all x εR ans foll ...

Hey guys. My friend asked this question to me today and I didn't know how to do it. Integrate ex2 w.r.t x ...

ex= 1+x+(x2/2!)+............. Then, ∫exdx= x + x2/2 + x3/3.2! + x4/4.3!....... = x + x2/2! + x3/3! + x4/4! +.......... = ex - 1 [7][7][7][7][7][7][7] ...

lim x->infinity[(x+p)(x+q)(x+r)(x+s)]1/4 - x ...

x Prove ∫ [t] dt =[x]([x]-1)/2 +[x](x-[x]) where x belongs to set of real 0 positve numbers and [.] denotes greatest integer function. ...

∞ Prove that ∫ dx/(x+ x2+1 )n =n/(n2-1) 0 where n>1 ...

integrate wrt x sqrt(sinx)cos^5x in the limits 0 to pi/2 ...

Find value of "a" for which the inequality 3-mod(x-a)>x2 is satisfied by at least one negative value of x ...

Prove that x x ∫etxe-t2dt=ex2/4∫e-t2/4dt 0 0 ...

2 If for non zero x, a.f(x) +b.f(1/x)=1/x -5 where a≠b then find ∫ f(x)dx 1 ...