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You want to show the examiner that you have a good command of grammar and a varied vocabulary. So I would suggest including at least three hobbies and using a different verb each time you talk about a hobby....

We use integration by parts. Set $u = x$ and $dv/dx = e^x$. This leads to $du/dx = 1$, and $v = e^x$. Then:\begin{align*}\int xe^x \mathop{\mathrm{d}x} &= xe^x - \int e^x \mathop{\mathrm{d}x}\&= xe^x...

In normal substantive clauses the verb is placed in the second position right after the noun. For example, 'Ich mache Sport'. In subordinate clauses, however, the verb is placed in the last position in the c...

This is one of the most common a level math question. One which is essential to understand as it gives a firm understanding of core fundamental principles in math which are Completing the square and Algebra ...

- I have a computer in my bedroom._____ ( tener ) un ordenador en mi habitación. - I watch the television with my sister._____ ( ver ) televisión con mi hermana. - I want to eat a salad because its healthy._...