Integrate the following with respect to x, f(x)=xsin(x)

f(x)= xsin(x) >>>>>>>>>>>>>>>>>> integral[ udv/dx ] dx= uv - integral[v* du/dx] dx
let x=u and sin(x)=dv/dx >>>>>>>>>>>>>>>>>> du/dx=1 , v= -cos(x)
Plugging in gives formula: integral[ xsin(x)] dx = (x)(-cos(x)) - integral[ -cos(x) ]dx
solving gives ............... = sin(x) - xcos(x) + C

JC

Related Maths A Level answers

All answers ▸

Work out the equation of the normal to the curve y = x^3 + 2x^2 - 5 at the point where x = -2. [5 marks]


The normal to the curve C when x=1 intersects the curve at point P. If C is given by f(x)=2x^2+5x-3, find the coordinates of P


For which values of x is the following inequality satsified: x^2 + 6x + 6 < 1


Find the coordinates of the centre of the circle with equation: x^2 + y^2 − 2*x + 14*y = 0