Hint:
Let , then .
- If , then it's .
- If , then it's
For maths, i dont know how to work out the following:
1)Find the value of;
Integral(0,4): f'(x) ( (f(x))^3 -2f(x) -3) dx
given that f(0) = 2, f'(0) = -6, f(4) = 3 and f'(4) = -3
2) y= Integral(5,5x^4):sin( t^2 - 5 ) dt
whats y'?
(I'm new so sorry, i dont know how to write in equation form)
For the second question I got the answer:
y'(x) = sin(x^2 - 5).20x^3
The quiz its from isn't liking my answer though
Heres the hint it gives me:
Let the integrand be f(t) and let an antiderivative of f(t) be F(t). Then y(x) = F(5 x^4) - F(5), where F(5) is just a constant.