Limits
Derivatives
definite integration
Integration
Antiderivatives
100
lim x→3 (x^2-x-12)/(x+3)
What is -1
100
d/dx 3xsin^2x - x^2 cos x
What is x^1/2 (4-3x) /2(x^2 - 4x)^2
100
/int (3x^2), [3,1]
What is 26
100
Integrate: /int e^x dx
What is e^x + C
100
/int 15x^4
What is 3x^5+C
200
lim [(2+h)^2 - 4]/ h h->2
What is 6
200
d/dx 5 secxtanx
What is 5 secx (tan^2x +sec^2x)
200
/int (5x^3)+2, [3,0]
What is 429/4
200
/int sin x dx
What is -cosx +C
200
/int -3x^2 dx
What is -x^3 +C
300
lim (3 - √t)/(9 - t) t->4
What is 1/5
300
d/dx (2x^2 +5) ^7
What is 28x(2x^2 +5)^6
300
/int cos(2x), [2π, π]
What is 0
300
Integrate: /int ln(x)
What is xln(x) - x + C
300
/int 2/x^2
What is -1/x^2 + C
400
lim (1/x - 1/2) /(x-2) x->2
What is -1/4
400
d/dx e^6x^3
What is (18x^2)e^(6x^3)
400
/int tan(3x)
What is (1/3)tan(3x) + C
400
Integrate: /int (√x+3) dx
What is [(3x^4)/4] + [(2x^9/2)/9] + C
400
/int cos^2(x)sin(x)
What is (sin^3(x)/3) + C
500
lim cos [3π/2 + x] - cos[3π/2]/x x->0
What is 1
500
d/dx arccos [x/3]
What is -√9-x^2
500
/int (5x^3)+ (6x^2) + 3x, [3,1]
what is 164
500
Integrate: /int sin 10x + cos 5x + sec^2(3x)
What is -(1/10)cos(10x) + (1/5)sin(5x) + (1/3)tan(3x) + C
500
/int (7t+8)^3
What is [(7t+8)^4]/28 + C
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