Question

find the indefinite integral:
∫3x^(x)sin(x^(3))dx

Answer 1

\[\int\limits3x ^{2}\sin x ^{3}dx\]

Answer 2

\[u=x^3\]

Answer 3

i know...but i want to check my ans...\[\frac{ -\cos x^ 4 }{ 4 }\] ?

Answer 4

i think answer will b
\[-\cos x ^{3}\]

Answer 5

can i show details

Answer 6

Did you use integration by parts?

Answer 7

i can show my work

Answer 8

oops ...can you show me the detail...? thanks

Answer 9

ok

Answer 10

let \[u=x ^{3}\]

Answer 11

or,\[du=3x ^{2}dx\]

Answer 12

so ur given term will b\[\int\limits_{?}^{?} \sin u du=-\cos u=-cosx ^{3}\]

Answer 13

You can take out the 3 since its just a constant multiplied to the whole thing, so your \[u=x^3\]

Answer 14

no need to take 3 outside of ur integral

Answer 15

-_- i read it as 3x^3 xD my bad.I got the same answer.:)