Integral Jeopardy!

Definite Integrals

100

₁∫² (1/r²)

.5

200

₀∫¹ (2x-1)⁶ dx

1/7

300

₀∫²(3y√ (4-y²))dy

8

400

₀∫¹((3s²+2)/(2s³+4s+3))ds

(ln(3))/2

500

₁∫⁴(1/(2√ (x) (1+ √ (x))²) )dx

1/6

U-Substitution

100

₉∫³t³dt

-1620

200

∫4x(2x²+1)⁵dx

(1/2)(2x²+1)⁶+c

300

∫((e^3x)/(4-e^3x))dx

(-1/3)ln|4-e^3x|+c

400

₁∫²x(x-1)⁴dx

11/30

500

∫((z)/((2-z)(2+z)))dz

(-1/2)ln|4-z²|+c

Indefinite

100

∫(3/(3x+5))dx

ln|3x+5|+c

200

∫(3/(xln(x))dx

3ln|ln|x||+c

300

∫4te^{t^2}dt

2e^{t^2}+c

400

∫((6t)/(2t²+5))dt

(3/2)ln(2t²+5)+c

500

∫((6x)/(3x²+5))dx

ln(3x²+5)+c