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Update integration_rules.json
I got rid of all the empty lines in the code.
KB2023ForGitHub committed Nov 15, 2023
commit f8b82a5d661ad6777f4b2080c6d66188e4853b22
16 changes: 0 additions & 16 deletions data/mathematics/integration_rules.json
Original file line number Diff line number Diff line change
@@ -1,53 +1,37 @@
{
"description":"Integration rules for any function",

"constant": [
"integral a dx = ax + C, where a and C are both constants"
],

"variable": [
"integral x dx = (x^2)/2+ C"
],

"square": [
"integral x^2 dx = (x^3)/3 + C"
],

"reciprocals": [
"integral (1/x) dx = ln|x| + C"

],

"exponential functions": [
"integral e^x dx = e^x + C",
"integral a^x dx = a^x/ln(a) + C",
"integral ln(x) dx = x ln(x) -x + C"

],
"trigonometric functions":[
"integral cos(x) dx = sin(x) + C",
"integral sin(x) dx = -cos(x) + C",
"integral sec^2(x) dx = tan(x) + C"

],

"power":[
"integral x^n dx = (x^(n+1)/n+1) C"

],

"difference":[
"integral (f - g) dx = integral f dx - integral g dx"

],
"multiplication by constant":[
"integral cf(x) dx = c (integral f(x) dx), where c is a constant"

],

"parts":[
"integral u v da = u(integral v da) - integral u`(integral v da) da; u isfunction of u(a); v is function of v(a); u` is derivative of function u(a)"

]

}