looks like D to me
u = x^2
Which of the following functions of x can be integrated with respect to x without integration by parts, and purely using integration by u-substitution and the knowledge of the antiderivative of the tangent function?
a) x^2tan(x^2)
b) xtan^2(x)
c) x^2tan(x)
d) xtan(x^2)
3 answers
let u = x^2
du = 2x dx so dx = du/2x
try d)
int x tan x^2 dx = int x tan u du/(2x)
= int (1/2) tan u du
du = 2x dx so dx = du/2x
try d)
int x tan x^2 dx = int x tan u du/(2x)
= int (1/2) tan u du
Sorry, was drinking coffee while oobleck did it :)
1 answer