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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}\&= 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 la...

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 Algeb...

-         I have a computer in my bedroom._____ (tener) un ordenador en mi habitación.
-         I watch the television with my sister._____ (ver) televisión con mi ...

This is one of the most common questions I have received from students I have helped in the past. I have had lots of experience writing and editing my own personal statements for medicine (more than once)...