Question

Guys bantu gmana jawabannya dong 1-10
INTEGRAL PARSIAL

Answer 1

1. ∫ x.sin x dx = sin x - x.cos x + C

2. ∫ x.sin 2x dx = (1/4).(sin 2x - 2.x.cos 2x) + C

3. ∫ ln x dx = x.(ln (x) - 1) + C

4. ∫ x.e⁻ˣ dx = -e⁻ˣ(x+1) + C

5. ∫ x².e⁻ˣ dx = -e⁻ˣ(x²+2x+2) + C

6. ∫ eˣ.sin x dx = (1/2).eˣ.(sin x - cos x) + C

7. ∫ arc sin x dx = ∫ sin⁻¹ x dx  
                         = √(1-x²) + x.sin⁻¹ x + C

8.  ∫ arc tan x dx =  ∫ tan⁻¹ x dx
                           = x.tan⁻¹ x - (1/2).ln (x²-1)

9. ∫ x.ln x² dx = (1/2).x².(ln (x²) -1) + C

10. ∫ ln (ln (x))/x dx = (ln (x)).(ln (ln (x) - 1)) + C