5 Find a limit equal to In(2x – 1) dx.

Q: 2- |In (=) dx.

A: ∫01ln 1x     dx

Q: 24. By Simpson's rule, evaluate Vi – 1/x dx with fiye ordinates

A:

Q: Let f(x) = 3x+ 4x. Evaluate dy when x=2 and dx=0.1

A: Given that fx=3x2+4x To evaluate dy when x = 2 and dx = 0.1.

Q: Show that (In kx) dx (In x), where x > 0 and k is a positive dx real number.

A: ddxln kx=ddxln x, where x>0 & k is a positive real number.

Q: Suppose that f (x) is a continuous function, f(-1) = 6, f(2) = and f(x)dx: = -3 = T. Evaluate the…

A:

Q: Evaluate | re dx by changing from x-limits to u-limits. xet

A: Explanation of the solution is given below...

Q: Evauate the below 1 dx 4+5cos x

A:

Q: Let f(x) = 3x² + 4x. Evaluate dy when x=4 and dx=0.1

A:

Q: S2ta J 2tan x In (cos x) dx=

A:

Q: Show that esin(x²)dx < e– 1.

A:

Q: sech x dx , 0 < x < 1

A:

Q: If f is a positive function and f"(x) < 0 for a < xs b, show that T, < f(x) dx < M,

A: f is a positive function and f''(x)&lt;0 for a≤x≤b This tells us that f is concave down over the…

Q: 1. Use the delta method, 2 BONUS MARKS y = 5x² dy dx = lim h-0 f(x+h)-f(x) h to find dx for the…

A:

Q: 3 2x 11-8 n x³ + 1/ 5 where [ ] = G.I.F If lim /2n dx = k, find the value of [1] + 2013.,

A: Solution :

Q: dx 4. [(x-1)2+1]2

A:

Q: Evaluate

A: Consider the provided integral, ∫01lnx+1x2+1dx Evaluate the provided integral. Apply the by part…

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.