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Find the integral of x^2e^x

To solve this integral you should use the integration by parts formula, which is uv - integral of vu'. First let x^2 be u, therefore u'(the differential of x^2) = 2x, v' = e^x and therefore v (integral of e^...
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Answered by Jade G. • Maths tutor
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How do I expand double brackets?

Use the moon method. E.g. (x+1)(x+2) multiply x with x multiply x with 2 mutiply 1 with x multiply 1 with 2 If you draw this out it will look like a moon shape. now put the like terms together
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Answered by Sulayman H. • Maths tutor
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A body of mass 2kg is travelling in a straight line along the x-axis. It collides with a second body of mass 3kg which is moving at -2m/s. The two bodies move off together at 3m/s. What is the initial velocity of the first body?

2u-3 2=5 3=15, 2u=15+6. Therefore, u=10.5m/s. This is a standard type of question, it is simply about conservation of momentum. Momentum (p) is equal to mass velocity. Initially, the first body has momentum ...
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Answered by Caroline L. • Physics tutor
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Why is ethylamine a stronger base than phenylamine?

A base is a proton acceptor. Amines work as bases due to the electronegativity of the nitrogen atom. The lone pair in the nitrogen atom is filled in a 2p(z) orbital, in phenylamine, the p orbital sufficientl...
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Answered by Adhib M. • Chemistry tutor
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'Charles I's intransigence was the ultimate cause of the regicide'. Assess the validity of this view.

To answer this question, it is important to consider three different points of view - that which agrees, that which disagrees and that which offers an alternative perspective. It would be ideal to offer at l...
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Answered by Miriam D. • History tutor
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