Integration Methods

U-Sub

100

Evaluate ∫xcos(4x²)dx

⅛sin(4x²)+c

200

Evaluate ∫(x+1)/(½x²+x+2)dx

ln(½x²+x+2)+c

By Parts

100

Evaluate ∫2x³e^4xdx

(½)x³e^4x-(3/8)x²e^4x+(3/16)xe^4x-(3/64)e^4x+c

Partial Fractions

100

Evaluate ∫ (7/(x²-5x+6))dx

7ln(x-3)-7ln(x-2)+c

Trig Subs

100

Evaluate ∫sin(t)sec²(cos(t))

-tan(cos(t))+c

300

Evaluate ∫sin⁵(x)cos²(x)

((-cos⁷(x))/7)+((2cos⁵(x))/5)-((cos³(x))/3)+c

Improper Integrals

200

Evaluate _-1∫⁴ (¹/_(x-2)) dx

Diverges