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They key is to integrate by parts, set u = x, u' = 1, v' = sinx, v = -cosx
So, integral(xsinx) =uv - integral(u'v)+c = -xcosx - integral(-cosx) +c = -xcosx +sinx + c
which is the answer

Quadratic equations contain the term x² and they can normally be written in the format of:ax² + bx + c = 0. You can solve these equations by using a technique called factorisation. F...

To factorize this you need to find two numbers that have a sum of -1 and a product of -12. Start y finding the pairs of numbers the times to make -12; (-1,12), (-2,6), (-3,4), (1,-12), (3,-4), (2,-6). Nex...

The three trigonometric functions sine, cosine, and tangent are derived from looking at the ratios of side lengths in a right-angled triangle. (Triangle drawn and side lengths annotated H=hypotenuse, A=ad...

Firstly I check that the equation is of the form ax² +bx+c=0 , here it is in such form as a=3 b=-1 c=-10. Because it is a quadratic equation, it can be factorised into 2 brackets. In each brack...