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Find the integral of e^3x/(1+e^x) using the substitution of u=1+e^x

Differentiate U with respect to x to find dx in terms of du and substitute into the integral so that it is in terms of du, then using e^3x = (e^x)^3 and u = 1+e^x subsitute u in for x and simplify the int...

CF
Answered by Cory F. Maths tutor
5154 Views

dx/dt = -5x/2, t>=0. Given that x=60 when t=0, solve the differential equation, giving x in terms of t.

dx/dt = -5x/2 to solve this we must firstly separate the variables ∫2/x dx = -∫5 dt then we solve the integrals using basic integration formulae 2ln...

KS
Answered by Kulveer S. Maths tutor
5909 Views

Why do skeletal formulae not show the hydrogens bonded to carbons but do on other elements?

Because carbon atoms have 4 electrons in their outer shell so always form 4 covalent bonds in a molecule, so the number of hydrogen atoms bonded can be inferred by subtracting however many bonds the carbo...

MA
Answered by Megan A. Chemistry tutor
2579 Views

What is the "unseen" reading in the interview and how do I prepare for it?

"Unseen" reading is much friendlier than it sounds; it's simply a piece of writing which you are given around 15 minutes to read, make notes on, and think about. You're then asked questions base...

FH
8552 Views

Why do I have to study maths?

Maths is very important in real life. You use it day to day from basic addition and subtraction to working out percentage discounts in shops. Some of the more complex maths like algebra is used in fields ...

JP
Answered by Jack P. Maths tutor
3033 Views

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