Uji Pemahaman Integral Parsial

Hitung integral parsial dari ∫ x * e^x dx.

• x * e^x - e^x + C

• e^x + C

• x * e^x + e^x + C

• x * e^x - e^x - C

Hitung integral parsial dari ∫ ln(x) dx.

• e^x + C

• x ln(x) - x + C

• x^2/2 + C

• ln(x^2)/2 + C

Hitung integral parsial dari ∫ x^2 * sin(x) dx.

• x^2 * cos(x) - 2x * sin(x) + C

• -x^2 * sin(x) + 2x * cos(x) + C

• -x^2 * cos(x) + 2x * sin(x) + 2 * cos(x) + C

• x^2 * sin(x) + 2 * sin(x) + C

Hitung integral parsial dari ∫ x * cos(x) dx.

• x * cos(x) + sin(x) + C

• x * sin(x) + C

• x * sin(x) + cos(x) + C

• -x * cos(x) + sin(x) + C

Hitung integral parsial dari ∫ x^3 * e^(-x) dx.

• e^(-x) (x^3 - 3x^2 + 2x + 1) + C

• e^(-x) (x^3 + 3x^2 + 6x + 6) + C

• -e^(-x) (x^3 - 2x^2 + 4x - 4) + C

• -e^(-x) (x^3 - 3x^2 + 6x - 6) + C

Hitung integral parsial dari ∫ x * ln(x) dx.

• (1/3)x^3 ln(x) - (1/6)x^3 + C

• x^2 ln(x) - (1/2)x^2 + C

• (1/4)x^2 ln(x) - (1/8)x^2 + C

• (1/2)x^2 ln(x) - (1/4)x^2 + C

Hitung integral parsial dari ∫ e^x * sin(x) dx.

• e^x (sin(x) + cos(x)) + C

• (1/2)e^x (sin(x) + cos(x)) + C

• e^x (sin(x) - cos(x)) + C

• (1/2)e^x (sin(x) - cos(x)) + C

Hitung integral parsial dari ∫ x^2 * cos(2x) dx.

• (1/4)x^2 * sin(2x) + (1/2)x * cos(2x) + (1/16)sin(2x) + C

• (1/3)x^2 * sin(2x) + (1/6)x * cos(2x) + (1/12)sin(2x) + C

• (1/2)x^2 * sin(2x) + (1/4)x * cos(2x) + (1/8)sin(2x) + C

• (1/5)x^2 * sin(2x) + (1/10)x * cos(2x) + (1/20)sin(2x) + C

Hitung integral parsial dari ∫ x * tan(x) dx.

• -x ln|cos(x)| + C

• x * sin(x) + C

• -x^2 ln|cos(x)| + C

• x^2 * tan(x) + C

Hitung integral parsial dari ∫ x^4 * e^(3x) dx.

• (1/2)x^4 * e^(3x) - (2/9)x^3 * e^(3x) + (1/27)x^2 * e^(3x) - (4/81)x * e^(3x) + (2/243)e^(3x) + C

• (1/5)x^4 * e^(3x) - (3/9)x^3 * e^(3x) + (2/27)x^2 * e^(3x) - (7/81)x * e^(3x) + (1/243)e^(3x) + C

• (1/3)x^4 * e^(3x) - (4/9)x^3 * e^(3x) + (4/27)x^2 * e^(3x) - (8/81)x * e^(3x) + (8/243)e^(3x) + C

• (1/4)x^4 * e^(3x) - (5/9)x^3 * e^(3x) + (3/27)x^2 * e^(3x) - (6/81)x * e^(3x) + (10/243)e^(3x) + C