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Antiderivative Rules (Non Trig)
Trig Antiderivative Rules
Applying Non Trig
Applying Trig
U-Sub
100
∫e^x dx
What is e^x?
100
∫cos(x) dx
What is sin(x) + C?
100
∫ 3dx
What is 3x?
100
∫ 2cosx dx
What is 2sinx + c ?
100
∫cos (x^2) 2x dx
What is sin(x^2) + c ?
200
∫(1/x) dx
What is ln|x| + C?
200
∫sin(x) dx
What is -cos(x) + C?
200
∫ 4x^3 + 3 dx
What is x^4 + 3x + c ?
200
∫ secxtanx + (1/2)x^2 dx
What is secx + (1/6)x^3 + c ?
200
∫ e^4x dx
What is (1/4) e^4x +c ?
300

∫0 dx

What is C?

300
∫(csc xcot x)dx
What is -cscx+c?
300
∫ 3e^x + 2 dx
What is 3e^x+ 2x+ c ?
300
∫ cscxcotx + 4sinx dx
What is -cscx - 4cosx +c ?
300
∫ (2x + 5) (x^2 + 5x)^3 dx
What is (1/4) (x^2 + 5x) ^4 + c ?
400
∫a dx
What is ax + C?
400

∫sec^2(x)dx

What is tan(x)+c?

400
∫ x^3 + 4x^2 - 2x dx
What is (1/4)x^4 + (4/3)x^3 - x^2 + C?
400
∫ -10sinx + cosx - 5dx
What is 10cosx + sinx - 5x + c ?
400
∫ 3x^4 (3x^5 - 2)^4 dx
What is (1/25) (3x^5 - 2)^5 + c ?
500

∫x^n dx

What is 1/n+1 x^(n+1) +C ?

500

∫ csc^2(x) dx

What is -cot(x)+c?

500
∫ 4/x + 2e^x - 5x^4 dx
What is 4 ln|x| + 2e^x - x^5 + c ?
500
∫ -3/ (1+x^2) dx
What is 3arccotx + c or -3arctanx + c?
500
∫ 20x sec^2(5x^2 - 1) dx
What is 2tan(5x^2 - 1) + c ?