Question

高数 ∫1+sin²2X/1+cos²2X

Answer 1

是照片。有什么疑问就追问吧，记得采纳哦，亲。

Answer 2

∫(1+sin²2X)/(1+cos²2X)dX
=∫(3-1-cos²2X)/(sin²2X+2cos²2X)dX
=∫3/(sin²2X+2cos²2X)dX-∫dX
=3∫sec²2X/(tan²2X+2)dX-X
=(3/2)∫1/(tan²2X+2)dtan²2X-X
=(3/(2√2))arctan(tan((2X)/√2))-X+C