Berapa integral dari x(x-1)/sqrtx?.... Question from @Hasim

August 2018 2 23 Report

Berapa integral dari x(x-1)/sqrtx?

MathSolver74 Int (x² - x)/√x
= int (x²⁻(1/2) - x¹⁻(1/2)) dx
= int (x^(3/2) - x^(1/2)) dx
= (2/5)x^(5/2) - (2/3)x^(3/2) + c
= (2/5)x²√x - (2/3)x√x + c

0 votes Thanks 1

anissa89 $\int\limits {x(x-1) / \sqrt{x} dx$
= $\int\limits x^{2}-x / x^{1/2} dx$
= $\int\limits {( x^{2}-x) x^{-1/2} dx$
= $\int\limits x^{2+(-1/2)} - x^{1+(-1/2)} dx$
= $\int\limits x^{3/2} - x^{1/2} dx$
= $\int\limits x^{3/2} dx - \int\limits x^{1/2} dx$
= 1 per 3/2+1 $x^{3/2+1}$ - 1 per 1/2+1 $x^{1/2+1}$ + C
= 1 per 5/2 $x^{5/2}$ - 1 per 3/2 $x^{3/2}$ +C
= 2/5 $x^{5/2}$ - 2/3 $x^{3/2}$ +C
= 2/5 x² $\sqrt{x}$ - 2/3 x $\sqrt{x}$ + C

0 votes Thanks 1

About Us

Life Enjoy

" Life is not a problem to be solved but a reality to be experienced! "

Y=10^-2 sin 4π(t/10 - x/10). Tentukan Amplitudo, Periode, Frekuensi, Panjang gelombang, dan cepat rambatnya

Berapa integral dari x(x-1)/sqrtx?

Recommend Questions

Life Enjoy

Get in touch

Social