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Why does integration by parts work?

Let's consider the form of the formula we use for integration by parts: the integral of u * dv/dx = uv - the integral of v * du/dx. We know that integration is the inverse of differentiation, so we should...

Answered by Tomas S. Maths tutor
3551 Views

Find the area enclosed by the curve y = cos(x) * e^x and the x-axis on the interval (-pi/2, pi/2)

To find the area enclosed by a function, we need to use integration. Here, the function is not easy to integrate just by inspection, but it is the product of two functions we do know how to integrate: cos...

Answered by Tomas S. Maths tutor
2808 Views

What is differentiation and how do I do it?

explain the following briefly: To work out the gradient, first principles, shortcutsexplain in detail: different methods

Answered by Maths tutor
2244 Views

In what ways does the painting 'La Grande Odalisque' by Ingres (1814) reflect an “orientalist” vision of the "East"?

'La Grande Odalisque' depicts an odalisque, or concubine, reclining on a bed as she greets her next customer who has entered the scene (supposedly the viewer). It not only marks Ingres' combination of neo...

Answered by Izzy R. History of Art tutor
4605 Views

How does trade affect the economic development of LIDC countries? Provide a case study to support your argument.

Trade is vital for economic development. Ethiopia is one of the least developed countries in the world. The country's main exports are mostly primary products such as coffee, flowers and vegetables. The c...

Answered by Esme B. Geography tutor
7668 Views

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