Question

How would you go about solving an integral equation

Answer 1

\[\int\limits_{0}^{c} \frac{ x^3 }{ 4 }dx =1\]

Answer 2

Integrate x^3/4

Answer 3

say the antiderivative of x^3/4 is F(x)
Then you solve F(c)-F(0)=1 for c.

Answer 4

So you need to first find the antiderivative of x^3/4
then plug in c and plug in 0 into that antiderivative
then find the difference then solve the equation for c

Answer 5

Thanks its been a while since I've done antiderivaties and calculus !