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First set up integral. Do not forget dx!

Int(f(x)) between 0 and 1

Optionally take out factor of 3 to simplify problem.

Solve using substitution and the exponential rule.

Integ...

For example, 7/10 is the same as 0.7 and 70%. Percentages are actually all fractions out of 100. 70% is 70/100, 50% is 50/100, etc. When these are written as fractions they should be simplified so the den...

Imagine there's a cake, and you wanted to share that cake evenly between three people. You would cut the cake into three pieces and each person would get a piece. Now, imagine you had another cake and sti...

Multiply the first term in the first bracket, so that would be x, with the second bracket. step one: x(x-3) is identical to: x^2 - 3x

We can now multiply the second number in the first bracket, whi...

y = 4x^3 - 5/x^2 Easier to differentiate the 2nd term if it isn't written as a fraction so first rewrite y: y = 4x^3 - 5x^(-2) Then differentiate each term by multiplying each term by the current power of...