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U-Substitution
ln and e-Substitution
Definite Integrals
Trig Functions
Miscellaneous
100
∫ 4x³(x⁴-7)⁵ dx
What is 1/6(x⁴-7)⁶ + C?
100
∫ x³∙ln(x) dx
What is 1/4x⁴∙lnx - 1/16x⁴+ C?
100
ƒ What is this symbol called?
What is the integral symbol
100

∫ cos³(x)∙sin(x) dx

What is -1/4(cosx)⁴+ C?

100
∫ e^(3x+4) dx
What is 1/3e^(3x+4) + C?
200
∫ (9-7x)⁶ dx
What is -1/49(9-7x)⁷ + C?
200
∫ lnx dx
What is x∙lnx - x + C?
200
ƒ 5x^4 + 2 dx from 4 to 10
What is 98988
200

∫ csc³xcotx dx

What is 1/3(cscx)³ + C?

200
∫ cos³x dx
What is sinx – 1/3(sinx)³ + C?
300
∫ 4x³ / (x⁴+5)³ dx
What is -1/2(x⁴+5)^-2 + C?
300
∫ x∙e^(2x) dx
What is x∙1/2e^(2x) - 1/4e^(2x) + C?
300
Definite Integrals find the value between the curve and the ......
What is the x-axis
300

∫ tan2x dx

What is  x + tanx + C?

300
∫ e^x / (1 + e^(x)) dx
What is ln(1+e^x) + C?
400
∫ 10x⁴ / (x⁵-2)⁷ dx
What is -1/3(x⁵-2)⁻⁶ + C
400
∫ x∙lnx dx
What is lnx ∙ 1/2x² - 1/4x² + C ?
400
ƒ 3 dx from 5 to 12
What is 21
400
∫ sec³x∙tanx dx
What is 1/3sec³x + C?
400
∫ x∙(x+1)^1/2 dx
What is 2/5(x+1)^(5/2) – 2/3(x+1)^(3/2) + C?
500
∫ 3x⁵ √(x⁶-4) dx
What is 1/3(x⁶-4)^(3/2) + C?
500
∫ arctan(x) dx
What is x∙arctan(x) - 1/2ln(1+x²) + C?
500
ƒ x^2 dx from 0 to 2
What is 8/3
500
∫ sin⁵(x)∙cos(x) dx
What is 1/6(sinx)⁶ + C?
500
∫ 3 / (x²+3x-4) dx
What is 3/5ln|(x-1)/(x+4)| + C?