INTEGRAL BEE

1

100

∫ x³ +2x dx

= x⁴/4 + x² + C

200

∫ e^3x dx

= e^3x/3 +C

300

∫ ln x dx 

= xln(x) - x + C

400

∫ csc(x)cot(x) dx

= - csc(x) +C

500

∫ 1/xln(x) dx

= ln|lnx| + C 

2

100

∫ 5x⁴ - x² + 1 dx

= x⁵ - x³/3 + x + C

200

∫ sin (2x) dx

= - cos(2x)/2 + C

300

∫  xcos(x) dx

= xsin(x) + cos(x) + C

400

∫ 1/(x²+4)  dx

= 1/2 tan^-1(x/2) + C

500

∫ e^xcos(x) dx

=  e^x/2 (sinx+cosx) + C 

3

100

∫ 1/2x dx

= 1/2 lnlx| + C

200

∫ cos(5x) dx

= sin(5x)/5 + C

300

∫ xsin(x) dx

= - xcos(x) + sin(x) + C

400

∫  1/(√4-x² ) dx

= sin^-1(x/2) + C

500

∫ e^xsin(x) dx

= e^x/2 (sinx-cosx)  + C

4

100

∫ x √x dx

= 2/5 x^5/2 + C

200

∫  x+1/x  dx

= x + ln|x| + C

300

∫ sec(x)tan(x) dx

= sec(x) + C

400

∫ (2x+3)⁵ dx

= (2x+3)⁶/12  +C

500

∫ x²e^x dx

= e^x (x² - 2x + 2) + C