A-Level Maths: H5-01 Further Integration: Reversing the Chain Rule

[stanleyp]

if your doing the reverse of the chain rule, surely you should divide by the integral of whats inside the brackets?

[李璟阳]

Thank you sir, this was very helpful.

[chideraikelua]

Hello Sir, Sorry but I can't seem to find any video of using definite integration to find the volume of revolution about an axes?

[Bad_Siege_Gamer]

If you get me to an A* in my maths a level im actually gonna buy u so many coffees

[jimgardner]

How on earth do you approach a question like this? "A quadratic function f(x) has a definite integral of x^2 f(x) dx between limits of x = -1 and x = 1 equal to 2 Find the function f(x) that gives the minimum value of integral of f(x)^2 dx (again between -=1 and +1)"

OR this one "A cubic function passes through origin where the slope of its tangent is 1. Determine the function f(x) IF the integral of f(x).g(x) between zero and 1 is ALWAYS = zero for ANY linear function of g(x) "

[ahmadghaffar]

Some text books give formulas for the integrals for different functions ie: sin cos and then there’s also one for (ax+b) types ..can we just Remeber them or do we need to know the derivation ?

[ismailrahman]

Hi jack can you know just substituition and parts instead of the reversing the chain rule???

[StreamerHighlightsHQ]

what does d/dx mean? why did you write that?

[JFoxyYT]

Hey, so I've been given an exam-style question involving reverse chain rule and substitution, the integration of x+7/(2x-3)^1/2. How do I go about this and does it give me a result in the form ln modulus with the 2x-3 variable inside? Following the rules we have none seem to make any sense when the numerator has an expression such as x+7.

[misan]

is this the same thing as integration by recognition