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/sci/ - Science & Math

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1928448 No.1928448 [Reply] [Original]

SO /SCI/ THINK YOU"RE GOOD AT MATH?

HERE"S A BASIC INTEGRATION PROBLEM SOLVING FOR YEAR 11. I BET YOU CAN"T SOLVE IT WITHOUT USING INTEGRATION BY PARTS. ASSUME YOU ONLY HAVE BASIC INTEGRATION SKILLS AND WORK OUT THE TRICK.

Integrate
30(sin( x))^8 (cos( x))^16 dx

>> No.1928451

Integration by parts is not basic integration?

>> No.1928452

http://www.wolframalpha.com/input/?i=intergrate+%2830%28sin%28+x%29%29^8+%28cos%28+x%29%29^16%29dx

fin.

>> No.1928558

>>1928451

nopeee.. i think he means basic calculus, no specialist mathmatics

>> No.1928637

answer is retarded to type out, just let me know if I'm on the correct track.

int 30sin^8(x)cos^16(x) dx
let u = sin(x)cos^2(x)
1/30 int u^4 dx
find du sub shit in add c etc?

>> No.1928644

>>1928452
lol intergrate

>> No.1928989

Int (30 (sin x)^8 (cos x)^16) dx
= 30 Int( (sin x)^8 (cos x)^16) dx
= 30 Int( (1 - (cos x)^2 )^4 (cos x)^16) dx

Expand and integrate. Done.