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∫ log(x) dx

Using "Integration by parts" or "reverse chain rule" .
Recall formula for intergration by parts: "∫f'(x) g(x) dx = f(x)g(x) - ∫f(x)g'(x)dx"
Then set f'(x) = 1, g(x)...

Answered by Michael T. • Maths tutor

49205 Views

Differentiate f(x) = 2xlnx.

Use the chain rule: f'(x) = v(du/dx) +u(dv/dx).

Let u = 2x, du/dx = 2, v = lnx, dv/dx = 1/x

Using this information: f'(x) = 2lnx + 2x/x

This simplifies to f'(x...

Answered by Tom V. • Maths tutor

22928 Views

I do not understand when or when not to use the subjunctive in Spanish.

The Subjunctive in Spanish is not so much a tense, but rather a mood. It can be used to express subtleties in language that emphasise desires, wishes, hypotheses and uncertainty.

In gene...

Answered by John C. • Spanish tutor

3500 Views

Describe the diverse views to approach an understanding of the notion of ‘self’ from the Social Psychology literature.

Self, is an elusive but still significant notion and comprises all the unique and distinctive qualities of an individual, distinguishing one person from other. Self is quite a complex concept to compr...

Answered by Lina E. • Psychology tutor

5682 Views

Nobody speaks Spanish at home. How can I practice on my own?

Vocab: Songs, TV, Films. To learn a word you have to see it, hear it and say it at least 5 times.
Grammar: Read. Why? Because the more you see grammar in use, the more you will reproduce it in wr...

Answered by Felix C. • Spanish tutor

3700 Views