Question

Evaluate the integral:
5x^3 ln

Answer 1

? 5x^3*ln(x)?

Answer 2

yes!

Answer 3

do it by parts

Answer 4

let u = ln(x) and dv = x^3dx

Answer 5

i have u=lnx and dv=5x^3 but i dont know how to solve and yes i know the formula for it am just having trouble

Answer 6

whats the formula?

Answer 7

uv-(swirl)vdu

Answer 8

x du = dx and v = (5/4)x^4

Answer 9

x du = dx?

Answer 10

ln(x)*(5/4)x^4 - int(((5/4)*x^4)/x)dx

Answer 11

du = (1/x) dx

Answer 12

so ln(x)(5/4)*x^4 - (5/4)*int(x^3 dx)

Answer 13

so ln(x) (5/4)x^4- (5/4)(1/4)x^4 + c

Answer 14

5*x^4*ln(x)/4-((5*x^4)/16) + c

Answer 15

would be the final answer?

Answer 16

sure it simplifies to (5/16)x^4(4ln(x)-1)

Answer 17

does it make sense?

Answer 18

yess awesome thank you for your help! could you also please help me with another if you have time?

Answer 19

sure post it on another thread just in case i cant

Answer 20

okay hang on