Question

求这两道题不定积分答案及过程

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Answer 1

there are some ready-for-use formulas:

∫ xⁿ dx xⁿ⁺¹/(n+1) + C

∫ secxtanx dx = secx + C

∫(a→b) ƒ(x) dx = ∫(a→c) ƒ(x) dx + ∫(c→b) ƒ(x) dx, where c is between a and b

∫ |x| dx =   x, if x > 0

             - x, if x < 0

Answer 2

1.=int 8x^3 dx+ 7int secxtanx dx
=8x^4/4+7secx+C
=2x^4+7secx+C

2.=int<-7,0> x-(-5x) dx+int<0,5> (x-5x)dx
=int<-7,0>6xdx + int<0,5>-4xdx
=3x^2|<-7,0>-2x^2|<0,5>
=-147-50
=-197

追问

乘法形式的怎么积分呀~？