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Popular Calculus Problems
integral of (3x^2)/(sqrt(1-x^6))
\int\:\frac{3x^{2}}{\sqrt{1-x^{6}}}dx
area x,x^2-2
area\:x,x^{2}-2
limit as x approaches 0 of 3cos(x)
\lim\:_{x\to\:0}(3\cos(x))
area (x^2)/2-4x+6, x/2-1,[0,5]
area\:\frac{x^{2}}{2}-4x+6,\frac{x}{2}-1,[0,5]
derivative of s(t)=t^3-5t+8
derivative\:s(t)=t^{3}-5t+8
tangent of y=sqrt(x),(1,1)
tangent\:y=\sqrt{x},(1,1)
derivative of (sqrt(x))/(x+3)
derivative\:\frac{\sqrt{x}}{x+3}
sum from n=1 to infinity of (3/5)^n
\sum\:_{n=1}^{\infty\:}(\frac{3}{5})^{n}
d/(dt)(2sin(t)-sin(2t))
\frac{d}{dt}(2\sin(t)-\sin(2t))
integral of (6x-1)
\int\:(6x-1)dx
area 5x,9x^2
area\:5x,9x^{2}
x^2y^{''}-6y=x^4
x^{2}y^{\prime\:\prime\:}-6y=x^{4}
(\partial)/(\partial y)(x-2y+2z)
\frac{\partial\:}{\partial\:y}(x-2y+2z)
d/(dt)((t-sqrt(t))/(t^{1/9)})
\frac{d}{dt}(\frac{t-\sqrt{t}}{t^{\frac{1}{9}}})
(\partial)/(\partial y)(2cos(y))
\frac{\partial\:}{\partial\:y}(2\cos(y))
integral of sqrt(2)e^θ
\int\:\sqrt{2}e^{θ}dθ
derivative of (1/(x^2)-3/(x^4))(x+5x^3)
derivative\:(\frac{1}{x^{2}}-\frac{3}{x^{4}})(x+5x^{3})
tangent of f(x)= 2/(x-4)
tangent\:f(x)=\frac{2}{x-4}
integral of (4x^5-2x+3)/(x^3)
\int\:\frac{4x^{5}-2x+3}{x^{3}}dx
inverse oflaplace e^{-2s}(1/(s-9))
inverselaplace\:e^{-2s}(\frac{1}{s-9})
derivative of y=(2x+1)^{2/3}(3x-4)^{1/2}
derivative\:y=(2x+1)^{\frac{2}{3}}(3x-4)^{\frac{1}{2}}
d/(dt)(e^t*cos(t))
\frac{d}{dt}(e^{t}\cdot\:\cos(t))
slope of (1/2 ,2),(6,2)
slope\:(\frac{1}{2},2),(6,2)
integral from-3 to 0 of 1/(9+2x)
\int\:_{-3}^{0}\frac{1}{9+2x}dx
limit as x approaches 2 of (5x-1)/(x-2)
\lim\:_{x\to\:2}(\frac{5x-1}{x-2})
integral of xe^x-x
\int\:xe^{x}-xdx
integral of arcsin(x+2)
\int\:\arcsin(x+2)dx
inverse oflaplace 1/(s^3-2s^2+3s)
inverselaplace\:\frac{1}{s^{3}-2s^{2}+3s}
parity y=arcsinh(tan(x))
parity\:y=\arcsinh(\tan(x))
tangent of f(x)=xcos(x),\at x=(3pi)/2
tangent\:f(x)=x\cos(x),\at\:x=\frac{3π}{2}
integral of 4sec(x)tan(x)
\int\:4\sec(x)\tan(x)dx
derivative of (13/x)
\frac{d}{dx}(\frac{13}{x})
inverse oflaplace 1/((s^2-1)^2)
inverselaplace\:\frac{1}{(s^{2}-1)^{2}}
integral from 1 to 3 of (2t^2+1)/t
\int\:_{1}^{3}\frac{2t^{2}+1}{t}dt
integral of (3sin(x))/(cos^3(x))
\int\:\frac{3\sin(x)}{\cos^{3}(x)}dx
integral of (2x+3)/(x+7)
\int\:\frac{2x+3}{x+7}dx
integral of (x+8)^2
\int\:(x+8)^{2}dx
integral from-2 to 3 of (10)/(x^4)
\int\:_{-2}^{3}\frac{10}{x^{4}}dx
integral of e^{x^2-5x}
\int\:e^{x^{2}-5x}dx
limit as x approaches 0-of 1/(e^x)
\lim\:_{x\to\:0-}(\frac{1}{e^{x}})
integral of 1/(-x+1)
\int\:\frac{1}{-x+1}dx
derivative of (x^2+4/(2x))
\frac{d}{dx}(\frac{x^{2}+4}{2x})
tangent of y=4-2x^2
tangent\:y=4-2x^{2}
derivative of sqrt(u+1)
derivative\:\sqrt{u+1}
(\partial)/(\partial x)(x^3+y^5+x^7-y^2)
\frac{\partial\:}{\partial\:x}(x^{3}+y^{5}+x^{7}-y^{2})
(\partial)/(\partial x)(Ax)
\frac{\partial\:}{\partial\:x}(Ax)
derivative of (e^{-x}cos^2(x)/(x^2+x+1))
\frac{d}{dx}(\frac{e^{-x}\cos^{2}(x)}{x^{2}+x+1})
(\partial)/(\partial x)(v/x)
\frac{\partial\:}{\partial\:x}(\frac{v}{x})
derivative of (x-2/(x^2-2x+4))
\frac{d}{dx}(\frac{x-2}{x^{2}-2x+4})
derivative of (x^2-1/(x^2+x+1))
\frac{d}{dx}(\frac{x^{2}-1}{x^{2}+x+1})
integral of x5^{x^2}
\int\:x5^{x^{2}}dx
derivative of 2x^3-3x^2-5
\frac{d}{dx}(2x^{3}-3x^{2}-5)
f(x)=5cos^2(x)
f(x)=5\cos^{2}(x)
limit as x approaches 2 of sqrt(2-x)
\lim\:_{x\to\:2}(\sqrt{2-x})
integral of (ln(x))/(x^3(ln(x)-1)^3)
\int\:\frac{\ln(x)}{x^{3}(\ln(x)-1)^{3}}dx
(d^2)/(dx^2)(1/(x^{11)})
\frac{d^{2}}{dx^{2}}(\frac{1}{x^{11}})
tangent of x^3-5x
tangent\:x^{3}-5x
integral from 0 to pi of cos(3x)cos(3x)
\int\:_{0}^{π}\cos(3x)\cos(3x)dx
integral of 2/(t^2-1)
\int\:\frac{2}{t^{2}-1}dt
integral of (-2)/(x^2-25)
\int\:\frac{-2}{x^{2}-25}dx
integral of sin(x)sqrt(2+3cos(x))
\int\:\sin(x)\sqrt{2+3\cos(x)}dx
derivative of y=(3x^2+2)(2x-5)
derivative\:y=(3x^{2}+2)(2x-5)
d/(dy)((y^4)/8+1/(4y^2))
\frac{d}{dy}(\frac{y^{4}}{8}+\frac{1}{4y^{2}})
derivative of f(x)=(36)/((1+3x)^3)
derivative\:f(x)=\frac{36}{(1+3x)^{3}}
integral from 0 to 6pi of t^2sin(2t)
\int\:_{0}^{6π}t^{2}\sin(2t)dt
integral of 6(x-12)^5
\int\:6(x-12)^{5}dx
tangent of f(x)=x^2-6,\at x=3
tangent\:f(x)=x^{2}-6,\at\:x=3
derivative of 6e^z
derivative\:6e^{z}
integral of 1/(x(x-7))
\int\:\frac{1}{x(x-7)}dx
d/(dy)(1/(1+y^2))
\frac{d}{dy}(\frac{1}{1+y^{2}})
(\partial)/(\partial v)(u+uv)
\frac{\partial\:}{\partial\:v}(u+uv)
derivative of y=x^3-8x^2+4x-32
derivative\:y=x^{3}-8x^{2}+4x-32
integral of 1/(sin(y))
\int\:\frac{1}{\sin(y)}dy
integral of sin(x)sec(x)
\int\:\sin(x)\sec(x)dx
derivative of sin(x*tan(x))
\frac{d}{dx}(\sin(x)\cdot\:\tan(x))
(dx)/(dt)=ax-bx^2-0
\frac{dx}{dt}=ax-bx^{2}-0
derivative of (2x^2+4x+2)/(sqrt(x))
derivative\:\frac{2x^{2}+4x+2}{\sqrt{x}}
tangent of y=4x^3-4x
tangent\:y=4x^{3}-4x
integral from-1 to 1 of 1/(x^{1/3)}
\int\:_{-1}^{1}\frac{1}{x^{\frac{1}{3}}}dx
integral from 0 to infinity of e^{-bt}
\int\:_{0}^{\infty\:}e^{-bt}dt
integral of sqrt((x^2)/4-1)
\int\:\sqrt{\frac{x^{2}}{4}-1}dx
derivative of 2e^{-x}x-e^{-x}x^2
\frac{d}{dx}(2e^{-x}x-e^{-x}x^{2})
derivative of (4x-x^2^3)
\frac{d}{dx}((4x-x^{2})^{3})
y^'+8y=4,y(0)=3
y^{\prime\:}+8y=4,y(0)=3
integral from 0 to 2 of te^{t^2}
\int\:_{0}^{2}te^{t^{2}}dt
integral of (3x)/((2+3x^2)^3)
\int\:\frac{3x}{(2+3x^{2})^{3}}dx
(\partial)/(\partial x)((2x-x^2)(2y-y^2))
\frac{\partial\:}{\partial\:x}((2x-x^{2})(2y-y^{2}))
(\partial)/(\partial x)(x^{sqrt(yy-xx)})
\frac{\partial\:}{\partial\:x}(x^{\sqrt{yy-xx}})
limit as x approaches 1 of (2x)/(x^3+1)
\lim\:_{x\to\:1}(\frac{2x}{x^{3}+1})
derivative of ((-2x/(1+x^2))^2)
\frac{d}{dx}((\frac{-2x}{1+x^{2}})^{2})
2xyy^'=1+y^2
2xyy^{\prime\:}=1+y^{2}
limit as x approaches 0 of-5(x-3)ln(x-3)
\lim\:_{x\to\:0}(-5(x-3)\ln(x-3))
y^'=2(y^2+1)
y^{\prime\:}=2(y^{2}+1)
derivative of x^2-xy=7
\frac{d}{dx}(x^{2}-xy)=7
derivative of-1/(1+y^2-cos(x)+2xy)
\frac{d}{dx}(-\frac{1}{1+y^{2}}-\cos(x)+2xy)
derivative of (sqrt(x))/(9+x)
derivative\:\frac{\sqrt{x}}{9+x}
limit as x approaches 1 of (x-1)/(1-x^2)
\lim\:_{x\to\:1}(\frac{x-1}{1-x^{2}})
integral of x^4sin(2x)
\int\:x^{4}\sin(2x)dx
f(x)=arcsin(6x^4)
f(x)=\arcsin(6x^{4})
sum from n=1 to infinity of ne^n
\sum\:_{n=1}^{\infty\:}ne^{n}
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