Home › TS EAPCET (Engineering) › Mathematics › Integration by Substitution › By the LIATE rule, which factor should be chosen…
By the LIATE rule, which factor should be chosen as u when integrating x cos x?
Acos x
Bx
Csin x
Dx²
Answer & Solution
Correct answer: B. x
An algebraic function comes before a trigonometric one in the LIATE order, so u = x.
Related questions
How can the result of an integration by substitution be checked?Using u = x² + 1, the integral of x(x² + 1)³ between x = 0 and x = 2 evaluates toIn ∫₀² x(x² + 1)³ dx, the substitution u = x² + 1 changes the limits toIf F is an antiderivative of a continuous f, then the integral of f from a to b equalsThe fundamental theorem of calculus shows that differentiation and integration areIn the LIATE rule for choosing u, which type of function comes first in the list?Integration by substitution is the integral counterpart of which differentiation rule?The integrand cos x/(1 + sin x) is integrated from 0 to π/2. What is the value?