Group Cal 1 Project: Step-by-Step Solutions to Problems in Thomas' Calc 11th Ed.

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Homework Statement


Need step-by-step help with all problems in project

This project covers chapter 4 sections 1-3 (Applacations of Derivitives) in Thomas' Calculus Early Transcendentals 11th ed.
 
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No, the first thing you need to do is read the Guidelines that you were supposed to have read when you first registered here. No one is going to do your homework for you or make any suggestions until you have done enough work to show what you can do and what kind of help you need. TRY!
 
and1bryan said:

Homework Statement


Need step-by-step help with all problems in project

This project covers chapter 4 sections 1-3 (Applacations of Derivitives) in Thomas' Calculus Early Transcendentals 11th ed.

I've removed your attachment: as Halls says, you must make an effort before we help you. You hadn't even bothered to type out the questions, let alone make an attempt at the the questions. Until you do this, you will not receive any help.
 

Thread 'Prove that the integral is equal to ##\pi^2/8##'

Prove $$\int\limits_0^{\sqrt2/4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx = \frac{\pi^2}{8}.$$ Let $$I = \int\limits_0^{\sqrt 2 / 4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx. \tag{1}$$ The representation integral of ##\arcsin## is $$\arcsin u = \int\limits_{0}^{1} \frac{\mathrm dt}{\sqrt{1-t^2}}, \qquad 0 \leqslant u \leqslant 1.$$ Plugging identity above into ##(1)## with ##u...
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