∫ x sin x dx (integration by parts):
Asin x - x cos x + C
B-x cos x + sin x + C
Cx cos x
Dcos x
Answer & Solution
Correct answer: B. -x cos x + sin x + C
u = x, du = dx; dv = sin x dx, v = -cos x. ∫ x sin x dx = -x cos x + ∫ cos x dx = -x cos x + sin x + C.
Related questions
The definite integral of f from a to b is a:In integration by substitution, the aim is to rewrite the integrand in a form that is:For a negative value of C, the parabola's vertex lies on the y-axis on the side that is:Shifting the parabola y equals x squared one unit up gives the member with C equal to:The geometrical interpretation of an indefinite integral is a family of:Indefinite integrals were studied before the section on integrals that are:The two ways of introducing the definite integral are limit of a sum and:The Fundamental Theorem of Calculus is introduced through a function called the: