By changing variables, integration can be simplified by using the substitutions x=a\sin(\theta), x=a\tan(\theta), or x=a\sec(\theta) Once the substitution is made the function can be simplified using basic trigonometric identitiesF = symsum(f,k) returns the indefinite sum (antidifference) of the series f with respect to the summation index kThe f argument defines the series such that the indefinite sum F satisfies the relation F(k1) F(k) = f(k)If you do not specify k, symsum uses the variable determined by symvar as the summation index If f is a constant, then the default variable is xIf you just want to show it converges, then the partial sums are increasing but the whole series is bounded above by 1 ∫ 1 ∞ 1 x 2 d x = 2 and below by ∫ 1 ∞ 1 x 2 d x = 1, since ∫ k k 1 1 x 2 d x < 1 k 2 < ∫ k − 1 k 1 x 2 d x Share Improve this answer
Arcsin X Arccos X Pi 6 Inverse Trigonometric Equation Youtube
