Prove 0 = 1 Using Integral Calculus || Can You find The mistake ??

Integral Calculus 1

Integral Calculus 1

Integral Calculus 1

Using calculus find the maximum value of (1-x)(2+3x)

Consider the integral I=int_(0)^(2pi)(dx)/(5-2cosx) Making the substitution "tan"1/2x=t , we have I=int_(0)^(2pi)(dx)/(5-2cosx)=int_(0)^(0)(2dt)/((1+t^(2))[5-2(1-t^(2))//(1+t^(2))])=0 The result is obviously wrong, since the integrand is positive and consequently the integral of this function cannot be equal to zero. Find the mistake.

(a) A student observed a nerve cell and drawn the following figure. He did a mistake in labelling. Find out the mistake (b) Where would you find nerve cells ? What is the function of nerve cell ?

The base of a cylinder is a circle with radius r. How can you find the area of the base? How can you use this in your formula for the volume of a cylinder?