d/dt[inta^t f(x) dx] =...

`d/dt[int_a^t f(x) dx]` = ______

Text Solution

Verified by Experts

`f(t)`

Promotional Banner

Promotional Banner

Topper's Solved these Questions

DIFFERENTIAL EQUATIONS
MODERN PUBLICATION|Exercise PROBLEM|19 Videos
INVERSE TRIGONOMETRY FUNCTIONS
MODERN PUBLICATION|Exercise EXERCISE|17 Videos

MODERN PUBLICATION-INTEGRATION-PROBLEM

int d/dx(f(x)) dx=d/dx int f(x)dx (True/false)
Text Solution
|
inta^b f(x)dx=1 ⇒ intb^a kf(t)dt=
Text Solution
|
d/dt[inta^t f(x) dx] =
Text Solution
|
int(-1)^(1) f(x) dx = K and f is an even function, then int(-1)^(1) f(...
Text Solution
|
If int0^1 f(x) dx = 4, int0^2 f(t) dt = 2 and int4^2 f(u) du = 1 then ...
Text Solution
|
int0^x cos^101 x dx =
Text Solution
|
Let f satifies all the conditions of Rolle's theorem in [1,6] then int...
Text Solution
|
int0^a x(1-x)dx = 0 implies a =
Text Solution
|
int0^(π/4) tan^2 x dx
Text Solution
|
Integrate int log x dx
Text Solution
|
What is the value of int {f'(x) - f(x)}e^x dx?
Text Solution
|
int0^(pi/2)In(tanx+cotx)dx
Text Solution
|
what is the value of int0^(1) x(1-x)^99 dx ?
Text Solution
|
int (x dx)/(e^(x^(2)) + e^(-x^(2)) =
Text Solution
|
What is the value of int (1+1/x^2)/(x-1/x+4) dx
Text Solution
|
The smallest interval [a,b] such that int0^1 (dx)/(sqrt(1+x^4)) in [a,...
Text Solution
|
f(x) = int0^x tsint dt then f'(x) =
Text Solution
|
What is the value of the integral int 2^(x)(f'(x) + f(x)ln2) = 2^(x) f...
Text Solution
|
what is the value of integral inta^b |x|/x dx.
Text Solution
|
What is the value of int x^(x)(1+lnx) dx ?
Text Solution
|