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Popular Calculus Problems

integral of 3x^2e^{x^3}	\int\:3x^{2}e^{x^{3}}dx
derivative of 3sqrt(x)-6x	\frac{d}{dx}(3\sqrt{x}-6x)
integral from 1 to infinity of 1/(x^3)	\int\:_{1}^{\infty\:}\frac{1}{x^{3}}dx
derivative of x^2y^5	\frac{d}{dx}(x^{2}y^{5})
integral from 0 to infinity of (a+f(x))	\int\:_{0}^{\infty\:}(a+f(x))dx
derivative of ln(64sin^2(x))	derivative\:\ln(64\sin^{2}(x))
(\partial)/(\partial x)(4/(y^2)+x)	\frac{\partial\:}{\partial\:x}(\frac{4}{y^{2}}+x)
integral of e^xcos(ax)	\int\:e^{x}\cos(ax)dx
limit as x approaches+4 of 2/((x+4)^3)	\lim\:_{x\to\:+4}(\frac{2}{(x+4)^{3}})
limit as x approaches 0-of (sqrt(x))/x	\lim\:_{x\to\:0-}(\frac{\sqrt{x}}{x})
derivative of (x^2-3x+2/(x^7-2))	\frac{d}{dx}(\frac{x^{2}-3x+2}{x^{7}-2})
(dy)/(dx)+(2x)/(1+x^2)y= 1/(1+x^2)	\frac{dy}{dx}+\frac{2x}{1+x^{2}}y=\frac{1}{1+x^{2}}
integral of (x^2+3x-2)/(x^2-1)	\int\:\frac{x^{2}+3x-2}{x^{2}-1}dx
derivative of 1/(2sin(x))	\frac{d}{dx}(\frac{1}{2\sin(x)})
tangent of 2sin(x)	tangent\:2\sin(x)
(\partial)/(\partial m)(-m{g}(m)sin(a))	\frac{\partial\:}{\partial\:m}(-m{g}(m)\sin(a))
limit as x approaches 3 of (27-x)/(x-3)	\lim\:_{x\to\:3}(\frac{27-x}{x-3})
integral from 0 to pi of pi(sin^2(x))	\int\:_{0}^{π}π(\sin^{2}(x))dx
limit as x approaches 5-of x	\lim\:_{x\to\:5-}(x)
integral of sin(2)x^2	\int\:\sin(2)x^{2}dx
derivative of 8pix^2	\frac{d}{dx}(8πx^{2})
derivative of f(x)=sin(x)cos(x)-x^2	derivative\:f(x)=\sin(x)\cos(x)-x^{2}
integral of xe^{-2/5 x}	\int\:xe^{-\frac{2}{5}x}dx
(dy)/(dx)=\sqrt[3]{x}	\frac{dy}{dx}=\sqrt[3]{x}
integral of 1/((x-1)(x^2+1))	\int\:\frac{1}{(x-1)(x^{2}+1)}dx
y^{''}-5y^'-6y=12e^2t	y^{\prime\:\prime\:}-5y^{\prime\:}-6y=12e^{2}t
(\partial)/(\partial x)(ye^{3x})	\frac{\partial\:}{\partial\:x}(ye^{3x})
derivative of-2(2x^2-4x-1^2)	\frac{d}{dx}(-2(2x^{2}-4x-1)^{2})
(\partial)/(\partial x)(sqrt(2))	\frac{\partial\:}{\partial\:x}(\sqrt{2})
t*y^'+4y=8t	t\cdot\:y^{\prime\:}+4y=8t
y^{''}+3y^'-4y=e^{-4x}+xe^{-x}	y^{\prime\:\prime\:}+3y^{\prime\:}-4y=e^{-4x}+xe^{-x}
(\partial)/(\partial x)(z^{xy^2})	\frac{\partial\:}{\partial\:x}(z^{xy^{2}})
limit as x approaches 0+of (x-\|x\|)/(\|x\|)	\lim\:_{x\to\:0+}(\frac{x-\left\|x\right\|}{\left\|x\right\|})
(dy)/(dt)=2te^{-y},y(0)=-2	\frac{dy}{dt}=2te^{-y},y(0)=-2
y^{''}=4y,y(0)=0,y^'(0)=1	y^{\prime\:\prime\:}=4y,y(0)=0,y^{\prime\:}(0)=1
y^'=x(x-1)	y^{\prime\:}=x(x-1)
(y+x^3+xy^2)dx-xdy=0	(y+x^{3}+xy^{2})dx-xdy=0
integral of e^{1-x}x	\int\:e^{1-x}xdx
integral of (x-1)sqrt(x)	\int\:(x-1)\sqrt{x}dx
(\partial)/(\partial x)(x^2sin(4t))	\frac{\partial\:}{\partial\:x}(x^{2}\sin(4t))
integral of x/(sqrt(3x+4))	\int\:\frac{x}{\sqrt{3x+4}}dx
(\partial)/(\partial x)(2x^2+y)	\frac{\partial\:}{\partial\:x}(2x^{2}+y)
(\partial)/(\partial x)(1/x)	\frac{\partial\:}{\partial\:x}(\frac{1}{x})
derivative of (sin^2(x)/(x^2))	\frac{d}{dx}(\frac{\sin^{2}(x)}{x^{2}})
derivative of 3^{3x}	\frac{d}{dx}(3^{3x})
(\partial)/(\partial x)(2e^{x^9y})	\frac{\partial\:}{\partial\:x}(2e^{x^{9}y})
derivative of ((x+9)/(x-9))^5	derivative\:(\frac{x+9}{x-9})^{5}
limit as x approaches 16 of ((4-sqrt(x)))/((16x-x^2))	\lim\:_{x\to\:16}(\frac{(4-\sqrt{x})}{(16x-x^{2})})
integral of (1-t^{-0.52})	\int\:(1-t^{-0.52})dt
y^'=y-1	y^{\prime\:}=y-1
integral from 0 to 10 of (6e^{0.2x}+2)	\int\:_{0}^{10}(6e^{0.2x}+2)dx
integral of (3x)/(2sqrt(x))	\int\:\frac{3x}{2\sqrt{x}}dx
limit as x approaches 4+of (6x)/(x-4)	\lim\:_{x\to\:4+}(\frac{6x}{x-4})
derivative of \sqrt[3]{5x+3}	derivative\:\sqrt[3]{5x+3}
derivative of f(x)=ln(x^8)	derivative\:f(x)=\ln(x^{8})
d/(dy)(arctan(xy))	\frac{d}{dy}(\arctan(xy))
integral of-15	\int\:-15dx
derivative of xcos(t)	\frac{d}{dx}(x\cos(t))
integral of 1/(e^z)	\int\:\frac{1}{e^{z}}dz
limit as T approaches 90 of f(T)	\lim\:_{T\to\:90^{\circ\:}}(f(T))
(\partial)/(\partial x)(4/3 pix^3)	\frac{\partial\:}{\partial\:x}(\frac{4}{3}πx^{3})
(\partial)/(\partial x)((x^4+3x^2)(1-5x))	\frac{\partial\:}{\partial\:x}((x^{4}+3x^{2})(1-5x))
y^{''}-6y^'+8y=0,y(0)=2,y^'(0)=1	y^{\prime\:\prime\:}-6y^{\prime\:}+8y=0,y(0)=2,y^{\prime\:}(0)=1
limit as x approaches-1-of x/(x+1)	\lim\:_{x\to\:-1-}(\frac{x}{x+1})
integral of (5x+4)/(x^3)	\int\:\frac{5x+4}{x^{3}}dx
integral of e^{x^3-3x^2}	\int\:e^{x^{3}-3x^{2}}dy
limit as x approaches 5 of (6x)/(x-5)	\lim\:_{x\to\:5}(\frac{6x}{x-5})
integral of 1/(5sqrt(x))	\int\:\frac{1}{5\sqrt{x}}dx
derivative of (1+cos(2x)/(1-cos(2x)))	\frac{d}{dx}(\frac{1+\cos(2x)}{1-\cos(2x)})
integral of xsin(1/7 x)	\int\:x\sin(\frac{1}{7}x)dx
integral of 40x^{3/2}-60x^2	\int\:40x^{\frac{3}{2}}-60x^{2}dx
derivative of 4/(t^2)	derivative\:\frac{4}{t^{2}}
inverse oflaplace s/(s^2+s+3)	inverselaplace\:\frac{s}{s^{2}+s+3}
derivative of 4/3 pi{r}(x(x)^3)	\frac{d}{dx}(\frac{4}{3}π{r}(x)(x)^{3})
derivative of (-x^2-8/((x^2-8)^2))	\frac{d}{dx}(\frac{-x^{2}-8}{(x^{2}-8)^{2}})
(dx)/(dt)=-(6x)/(20+2t)	\frac{dx}{dt}=-\frac{6x}{20+2t}
derivative of (3x^2+1^3)	\frac{d}{dx}((3x^{2}+1)^{3})
area y=x^3-3x^2-x+3,-1<x<= 3	area\:y=x^{3}-3x^{2}-x+3,-1<x\le\:3
limit as x approaches 1+of 1/2 x+3	\lim\:_{x\to\:1+}(\frac{1}{2}x+3)
limit as x approaches-1 of sin(3x)+2	\lim\:_{x\to\:-1}(\sin(3x)+2)
derivative of 3x^4-12x^3	\frac{d}{dx}(3x^{4}-12x^{3})
limit as x approaches 1 of 1/x-1	\lim\:_{x\to\:1}(\frac{1}{x}-1)
area y=x^2-x,y=0,x=0	area\:y=x^{2}-x,y=0,x=0
derivative of sqrt(9-4x^2)	\frac{d}{dx}(\sqrt{9-4x^{2}})
integral of (3x^2-8x+5)/((x+1)^4)	\int\:\frac{3x^{2}-8x+5}{(x+1)^{4}}dx
(1/(1-x))^'	(\frac{1}{1-x})^{\prime\:}
laplacetransform e^{2t}sin(j^2t)	laplacetransform\:e^{2t}\sin(j^{2}t)
(\partial)/(\partial x)((9+20x)y^{tan(x)})	\frac{\partial\:}{\partial\:x}((9+20x)y^{\tan(x)})
tangent of f(x)=-x^2,(-3,-9)	tangent\:f(x)=-x^{2},(-3,-9)
integral of 2/((x-2)(x^4+4))	\int\:\frac{2}{(x-2)(x^{4}+4)}dx
limit as x approaches-infinity of-3-x	\lim\:_{x\to\:-\infty\:}(-3-x)
integral from 0 to 3 of sqrt(x^2+16)	\int\:_{0}^{3}\sqrt{x^{2}+16}dx
(dy}{dx}+y/x =\frac{-y^2)/x	\frac{dy}{dx}+\frac{y}{x}=\frac{-y^{2}}{x}
integral of (4x)/((2x^2+3)^3)	\int\:\frac{4x}{(2x^{2}+3)^{3}}dx
integral of (x^2-3)/(x+1)	\int\:\frac{x^{2}-3}{x+1}dx
integral of 1/(sqrt(4x^2+1))	\int\:\frac{1}{\sqrt{4x^{2}+1}}dx
limit as x approaches 1 of 3f(x)-2h(x)	\lim\:_{x\to\:1}(3f(x)-2h(x))
derivative of y=3^{cos(2x)}+e^3	derivative\:y=3^{\cos(2x)}+e^{3}
integral of 7sin(θ/3)	\int\:7\sin(\frac{θ}{3})dθ
(\partial)/(\partial y)(tan(x^2+y))	\frac{\partial\:}{\partial\:y}(\tan(x^{2}+y))

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