Calculus Answers

The Honourable Expert pease send me an example to show that every continuos function is not necessarily differentiable.

Respect Sir pease help me to choose which function first using integration by parts in logarithm and inverse functions . for example"Integral logx.sin inverse x"dx

sir please send some rules which help in solving the integral ."Integral e^x(tanx+1)/secxdx".

(a) Let A sub n be the area of a polygon with n equal sides inscribed in a circle with radius r. By dividing the polygon into n congruent triangles with central angle 2*(pi)/n, show that A sub n=1/2*(n/r^2)*sin*(2pi/n)

(a) Graph the function f(x)=e^(-x)^2, -2<x<2.
(b) Estimate the area under the graph of f using four approximating rectangles and taking the sample points to be right endpoints and midpoints. In each case sketch the curve and the rectangles.
(c) Improve your estimates in part (b) by using 8 rectangles.

Find the most general antiderivative of the function and check your answer by differentiation. f(x)=3*(e^x)+7*(sec^2)(x)

sir please solve"Integral e^x(tanx+1)/secxdx.
best regards

Evaluate:
1. integral 4tan^(2)2x + 4tan2x -5 dx / cos^(2)2x (tan2x-1) ( "/" means over)
2. integral 2xcsc^2 x^2 tanx^2 dx / 5+3tan^2x^2
3. integral sinx cosx sq.root 1+4sinx dx

give an example to show that evert continuos function is not necessarily differentiabe

Give an example of non differentiable function which is continuous everywhere.