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Integral of e^x*sinx

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JJ
Answered by Jamil J. • Maths tutor
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The line l is a tangent to the circle x^2 + y^2 = 40 at the point A. A is the point (2,6). The line l crosses the x-axis at the point P. Work out the area of the triangle OAP.

Firstly to work out the area of the triangle OAP we need to know the coordinates of the individual points O, A and P. O is the centre of the axis hence has coordinates (0,0). The coordinates of the point A h...
MQ
Answered by Mohammad Q. • Maths tutor
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Solve the simultaneous equations: 2x-y=x+4; x^2+4y^2=37

taking equation 1 and solving for x: 2x-y=x+4 x-y=4 x=y+4 Sub our new equation into equation 2 from the question: (y+4) 2 +4y 2 =37 Expand and simplify: y 2 +8y+16+4y 2 =37 5y 2 +8y-21=0 Factorise: (5y-7)(y+...
AW
Answered by Alexander W. • Maths tutor
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A line passes through coordinates (-2,4) and (8,9). Does the point with coordinates (32,55) fall on this line?

To work out if a given point with coordinates (X,Y) falls on a line you must work out the equation for the line. All straight lines follow the formula: y=mx+c with 'y' being the Y coordinate, 'x' being the X...
NS
Answered by Nicholas S. • Maths tutor
7926 Views

integrate with respect to x the function f(x)= xln(x)

Use integration by parts let u=ln(x) let dv/dx=x therefore du/dx=1/x and v=(1/2)x^2 therefore the integral of xln(x) is equal to the following: (1/2)x^2ln(x) - (integral with respect to x of:((1/2)x^2)/x) = ...
PJ
Answered by Priya J. • Maths tutor
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