Antiderivatives
Indefinite Integrals
Indefinite integrals: e^x & 1/x
Integrating Trig Functions
More Fun with Indefinite Integrals
100
f'(x) = 2x
What is the derivative of x^2 +C?
100
∫ (-2x^-3 + 5) dx
What is the derivative of x^-2 + 5x + C?
100
∫ e^x dx
What is the derivative of e^x + C?
100
∫ 10 sin(x) dx
What is the derivative of -10 cos(x) + C?
100
∫ (t^2 + 1)^2 dt
What is the derivative of (1/5)t^5 + (2/3)t^3 + t + C?
200
dy/dx = 3
What is the derivative of 3x + C?
200
∫ (10x^(2/3)-7) dx
What is the derivative of 6x^(5/3) - 7x +C?
200
∫ (1/x) dx, x ≠ 0
What is the derivative of ln(x) + C?
200
∫ 18 cos(x) dx
What is the derivative of 18 sin (x) + C?
200
∫ (9t^7 - 2t^6 + 14)/t^5 dt
What is the derivative of 3t^3 - t^2 - 7/(2t^4) + C?
300
f'(x) = 3x^2
What is the derivative of x^3 + C?
300
∫ (-3/x^2) dx
What is the derivative of 3x^-1 + C?
300
∫ 9e^x dx
What is the derivative of 9e^x + C?
300
∫ 3 sec^2 (x) dx
What is the derivative of 3 tan (x) + C?
300
∫ (3sec^2(x) + 1/(2(X^(1/2))) dx
What is the derivative of 3 tan (x) + (x^(3/2)/3) + C?
400
dy/dx = 2x^-2
What is the derivative of -2x^-1 + C?
400
∫ ((6t^4 + 3t^2 - 8)/t^2) dt
What is the derivative of 2t^3 + 3t + 8t^-1 + C?
400
∫ -22e^x dx
What is the derivative of -22e^x + C?
400
∫ 3 csc (x) cot (x) dx
What is the derivative of -3 csc (x) + C?
400
∫ (sqrt(x^3) + cbrt(x^4)) dx
What is the derivative of (2/5)x^(5/2) + (3/7)x^(7/3) + C?
500
f'(x) = 6t^(-1/3)
What is the derivative of 9t^(2/3) + C?
500
∫ (4x^2 + 2)^2 dx
What is the derivative of (16/5)x^5 + (16/3)x^3 + 4x + C?
500
∫ 12/x dx, x ≠ 0
What is the derivative of 12 ln(x) + C?
500
∫ 5 csc^2(x) dx
What is the derivative of -5 cot (x) + C?
500
∫ e^3x dx
What is the derivative of e^3x + C?
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