Statement I int0^1 2^x x^2dx=2/(ln2)-4/...

Statement I `int_0^1 2^x x^2dx=2/(ln2)-4/((ln2)^2)+2/((ln2)^3)` Statement II `int_0^1 e^x(x-1)^n dx =16-6e`, then the value of n is 3.

Promotional Banner

Promotional Banner

Similar Questions

Explore conceptually related problems

If int_(ln2)^(x) (e^(x) - 1)^(-1) dx = ln'3/2 then what is the value of x ?

Evaluate : int_0^1x ln(1+2x)dx=(3I n3)/8

Evaluate : int_0^(ln2)x e^(-x)dx

If int_(log_(e^(2)))^(x)(e^(x)-1)^(-1)dx="log"_(e )(3)/(2) then the value of x is

If int_0^1 x log(1+x/2) \ dx=a+b log\ 2/3, then a and b are

int_(1)^(e^(2))(dx)/(x(1+log x)^(2))=

Let I_1=int_0^1e^(x^2)dx and I_2=int_0^(1)2x^(2)e^(x^2)dx then the value of I_1 +I_2 is equal to

If int_(ln 2)^(x) (e^(x)-1)^(-1)dx= ln (3/2) then x=

Recommended Questions

Statement I int0^1 2^x x^2dx=2/(ln2)-4/((ln2)^2)+2/((ln2)^3) Stateme...
Text Solution
|
If t a n y=(2^x)/(1+2^(2x+1)),t h e n(dy)/(dx)a tx=0i s -3/(10) ...
Text Solution
|
int(-1)^1(x^3|x|+1)/(x^2+2|x|+1)dx=aln2+bt h e n a=2; b=1 (b) a=2; b...
Text Solution
|
The value of the definite integral int(0)^(oo)(In x)/(x^(2)+4)dx is: (...
Text Solution
|
The value of int(ln pi-ln2)^(ln pi)(e^(x))/(1-cos(((2)/(3))e^(x)))dx=
Text Solution
|
Evaluate : int0^(ln2)x e^(-x)dx
Text Solution
|
The value of 1-((ln2))/(1)+((ln2)^(2))/(2!)-((ln2)^(3))/(3!)+......*oo
Text Solution
|
Statement I int(0)^(1)2^(x)x^(2)dx=(2)/(ln2)-(4)/((ln2)^(2))+(2)/((ln2...
Text Solution
|
If (2x)^(2y)=4(e^(2x-2y)) then value of ((dy)/(dx)) (loge2x+1)^2 is eq...
Text Solution
|