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Firstly, by looking at the integral, we see that this will have to be done by parts. There are 2 parts of this expression, the 'x' and the 'e^x'. As we know the formula f...

let's start by defining y = arsinh(cos(x)). taking sinh of both sides gives sinhy = cosx. (since sinh(arsinhz) = z). Now we can differentiate both sides wrt x. The RHS differentiates to -sinx. We can use ...

The subjunctive is used with cuando when it is used with the future tense, or describes something that is yet to happen.
For example: 'cuando tenga un gato' (when I have a cat)
Here, the subjunc...

To make x the subject of the formula, we simply want to have x on its own on one side of the equals sign. So we need to remove any numbers on the same side as x. A key rule to remember is that everything ...

x = (y+12)/3