Solving Exponential Integral Homework

magma_saber
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Homework Statement



The problem says:

u = 8[exp(y) - 1]


Homework Equations




The Attempt at a Solution



Does this mean:

8ey-1

or

8ey-1
 
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magma_saber said:

Homework Statement



The problem says:

u = 8[exp(y) - 1]


Homework Equations




The Attempt at a Solution



Does this mean:

8ey-1

or

8ey-1

It means 8ey-8. Square brackets [] also work like parentheses () in expressions.
 
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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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