Integrate xcos(x) with respect to x
Using LATEX (Logarithms, Algebra, Trigonometry, Exponential and Complex numbers) to determine which variable is du and which is dv/dx. This is decided by using the above acronym. For example in this question 'x' is an algebraic variable and 'cos(x)' is a trigonometric variable, hence 'x' is du and cos(x) is dv/dx. To solve this question, we use integration by parts and use the following formula. du.dv- integral(dv.(du/dx)dx).
du = x hence du/dx = 1 (differentiate du) dv/dx = cosx hence dv = sinx (integrate dv/dx)
Plug in the values in the above equation.
Ans = xsinx + cosx + c
VP
Answered by Vishnu P. • Further Mathematics tutor
3466 Views
See similar Further Mathematics A Level tutorsRelated Further Mathematics A Level answers
All answers ▸What is sin(x)/x for x =0?
Express sin(5theta) in terms of sin(theta) and powers of sin(theta) only.
Two planes have eqns r.(3i – 4j + 2k) = 5 and r = λ (2i + j + 5k) + μ(i – j – 2k), where λ and μ are scalar parameters. Find the acute angle between the planes, giving your answer to the nearest degree.
Using a Taylor's series or otherwise; derive Euler's Formula