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Using the substitution u=cosx + 1, show that the integral of sinx e^cosx+1 is equal to e(e-1), for the values of x between x=π/2 and x=0

First we differentiate the substitution giving, du/dx=-sinx, which is rearanged to dx=du/-sinx. we can then substitute this into the integral to get sinx e^cosx+1 du/-sinx which can be simplified to -e^co...

KS
Answered by Kieran S. Physics tutor
10609 Views

Are there any uses of animal imagery in John Steinbeck's 'Of Mice and Men'?

Most often applied to Lennie, imagery is particularly apparent in his physical description. His hands are called "paws" and indicate trouble when he uses them. He lumbers along like a bear in St...

TD
11666 Views

AQA PC4 2015 Q5 // A) Find the gradient at P. B) Find the equation of the normal to the curve at P C)The normal P intersects at the curve again at the point Q(cos2q, sin q) Hence find the x-coordinate of Q.

A) We need to find dy/dx. We know that dy/dx =(dy/dt)/(dx/dt). Differentiating each parametric equation we get: dx/dt= -2sin(2t) {using the chain rule and knowing that cos differentiates to -sin.} dy/dt= ...

TD
Answered by Tutor68191 D. Maths tutor
6852 Views

How does Shakespeare's presentation of the island and its atmosphere in "The Tempest" allow for the exploration of moral and psychological issues?

The moral and psychological issues which imbue the island in “The Tempest” are exemplified by the attitudes expressed toward the island by the play’s characters. Following the storm and shipwreck of Act O...

IB
5424 Views

Ian's commute to work is 5km. He needs to be there by 9.00am. He travels at 10 km/h, what time does he need to leave home?

Answer is 8.30am Using the speed = distance/time reference the student would do distance/speed or 5/10 = 0.5 hours

IF
Answered by Isabelle F. Maths tutor
2922 Views

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