Integrallar

Algebra 1

100

∫2x³ dx

1/2 * x⁴ + C

200

∫x⁶ + x² dx

1/7 * x⁷ + 1/3 * x³ + C

300

∫x³(2x² + 1) dx

1/3 * x⁶ + 1/4 * x⁴ + C

400

∫sin(x) dx

-cos(x) + C

450

∫cos(3x) dx

(1/3)sin(3x) + C

Algebra 2

100

∫x⁵ dx

1/6 * x⁶ + C

200

∫x⁴ - 2x² dx

1/5 * x⁵ - 2/3 * x³ + C

300

∫(x² + 1)(x³ - 2x) dx

1/6 * x⁶ - 1/4 * x⁴ - x² + C

400

∫cos(x) dx

sin(x) + C

450

∫(2sin(x) - 4cos(x)) dx

-2cos(x) - 4sin(x) + C

Algebra 3

100

∫3x⁴ dx

3/5 * x⁵ + C

200

∫(5x³ - x²) dx

5/4 * x⁴ - 1/3 * x³ + C

300

∫x²e^x dx

e^x * (x² - 2x + 2) + C

400

∫(2sin(x) + cos(x)) dx

-2cos(x) + sin(x) + C

450

∫(sin²(x)) dx

(1/2)x - (1/4)sin(2x) + C

Algebra 4

100

∫x⁸ dx

1/9 * x⁹ + C 

200

∫(2x⁵ + 3x³ - x) dx

1/3 * x⁶ + 3/4 * x⁴ - 1/2 * x² + C

300

∫2x³e^x dx

2(x³e^x−3x²e^x+6xe^x−6e^x)+C

400

∫(sin(x) - 3cos(x)) dx

-cos(x) - 3sin(x) + C

450

∫(cos²(x)) dx

(1/2)x + (1/4)sin(2x) + C

Algebra 5

100

∫8x¹¹ dx

2/3 * x¹² + C

200

∫(x⁶ - 4x⁴ + 7x²) dx

1/7 * x⁷ - 4/5 * x⁵ + 7/3 *x³ + C

300

∫4xe^xdx

4*(xe^x−e^x)+C

400

∫(sin(2x)) dx

-½cos(2x) + C

450

∫(sin(x)cos(x)) dx

(1/2)sin²(x) + C