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Popular Calculus Problems

2y^'=y	2y^{\prime\:}=y
(\partial)/(\partial x)(4sin^2(x))	\frac{\partial\:}{\partial\:x}(4\sin^{2}(x))
tangent of f(x)= 2/x	tangent\:f(x)=\frac{2}{x}
derivative of e^pi	derivative\:e^{π}
(\partial)/(\partial y)(4x-2y)	\frac{\partial\:}{\partial\:y}(4x-2y)
integral of 4+1/x	\int\:4+\frac{1}{x}dx
derivative of 20x-1/29.8x^2	\frac{d}{dx}(20x-\frac{1}{2}\cdot\:9.8\cdot\:x^{2})
limit as x approaches 8 of \sqrt[3]{x-8}	\lim\:_{x\to\:8}(\sqrt[3]{x-8})
integral of 2sin^3(x)cos^2(x)	\int\:2\sin^{3}(x)\cos^{2}(x)dx
(dy)/(dt)=(2t+sec^2(t))/(2y)	\frac{dy}{dt}=\frac{2t+\sec^{2}(t)}{2y}
integral of (cos(3x)-sin(5x))	\int\:(\cos(3x)-\sin(5x))dx
derivative of 8csc(x+2)	\frac{d}{dx}(8\csc(x)+2)
f(t)=-16t^2	f(t)=-16t^{2}
integral of (-x)/(x+1)	\int\:\frac{-x}{x+1}dx
derivative of sqrt(5+x)	derivative\:\sqrt{5+x}
integral of 3/(4x^2-9)	\int\:\frac{3}{4x^{2}-9}dx
integral of 2xe^{3x}	\int\:2xe^{3x}dx
derivative of cos^2(2x-1)	\frac{d}{dx}(\cos^{2}(2x-1))
laplacetransform f(t)=t^5	laplacetransform\:f(t)=t^{5}
limit as x approaches 1 of (x^2-1)/x	\lim\:_{x\to\:1}(\frac{x^{2}-1}{x})
area x+y^2=56,x+y=0	area\:x+y^{2}=56,x+y=0
derivative of (2x^4/(b^2-x^2))	\frac{d}{dx}(\frac{2x^{4}}{b^{2}-x^{2}})
integral of (2-3x)^3	\int\:(2-3x)^{3}dx
derivative of (ln^2(x)/x)	\frac{d}{dx}(\frac{\ln^{2}(x)}{x})
tangent of x^2-3xy=10,(1,-3)	tangent\:x^{2}-3xy=10,(1,-3)
y^{''}-y=5sin(2ty)(0)	y^{\prime\:\prime\:}-y=5\sin(2ty)(0)
integral of \sqrt[3]{3t}	\int\:\sqrt[3]{3t}dt
derivative of sin(x+sin^2(x))	\frac{d}{dx}(\sin(x)+\sin^{2}(x))
slope of (0,4),(6,-4)	slope\:(0,4),(6,-4)
(dy)/(dx)=xy^3-xy	\frac{dy}{dx}=xy^{3}-xy
limit as x approaches-2 of sqrt(9-x)	\lim\:_{x\to\:-2}(\sqrt{9-x})
derivative of (x/2 ^2)	\frac{d}{dx}((\frac{x}{2})^{2})
integral of 9cos(x)	\int\:9\cos(x)dx
integral of (xcos(x^2))	\int\:(x\cos(x^{2}))dx
integral of (-x^2+4)	\int\:(-x^{2}+4)dx
y^'=ycos(2x)	y^{\prime\:}=y\cos(2x)
integral from 1 to infinity of xe^{-x^2}	\int\:_{1}^{\infty\:}xe^{-x^{2}}dx
y(2xy+1)dx-xdy=0	y(2xy+1)dx-xdy=0
derivative of sin(3x)+cos(3x)	derivative\:\sin(3x)+\cos(3x)
integral of 2/(x^2+x-2)	\int\:\frac{2}{x^{2}+x-2}dx
integral of (e^{bx}*x)	\int\:(e^{bx}\cdot\:x)dx
integral of 4cos(t)	\int\:4\cos(t)dt
integral of cot^2(x)(1)	\int\:\cot^{2}(x)(1)dx
integral of sin(4x)sin(nx)	\int\:\sin(4x)\sin(nx)dx
y^{''}-3y^'-10y=0,y(0)=1,y^'(0)=10	y^{\prime\:\prime\:}-3y^{\prime\:}-10y=0,y(0)=1,y^{\prime\:}(0)=10
limit as x approaches infinity of (0.6)^{1/x}	\lim\:_{x\to\:\infty\:}((0.6)^{\frac{1}{x}})
integral of 2x(x^2+4)^4	\int\:2x(x^{2}+4)^{4}dx
integral of 3xsqrt(1-x^4)	\int\:3x\sqrt{1-x^{4}}dx
integral of 4/((x^2-8x))	\int\:\frac{4}{(x^{2}-8x)}dx
derivative of x+xe^x	\frac{d}{dx}(x+xe^{x})
integral of (sqrt(x^2+6x))/(x+3)	\int\:\frac{\sqrt{x^{2}+6x}}{x+3}dx
integral of (0.1x+1)e^{0.03x}	\int\:(0.1x+1)e^{0.03x}dx
derivative of f(x)=(x-6)(3x+5)	derivative\:f(x)=(x-6)(3x+5)
derivative of e^{2sqrt(x)}	\frac{d}{dx}(e^{2\sqrt{x}})
derivative of (x^3-3x^2+1^{-3})	\frac{d}{dx}((x^{3}-3x^{2}+1)^{-3})
tangent of x^3-9x^2+10x,\at =-2	tangent\:x^{3}-9x^{2}+10x,\at\:=-2
sum from n=0 to infinity of (x^n)/(n3^n)	\sum\:_{n=0}^{\infty\:}\frac{x^{n}}{n3^{n}}
derivative of (e^x/(2-tan(x)))	\frac{d}{dx}(\frac{e^{x}}{2-\tan(x)})
(\partial)/(\partial x)(sin(3x)cos(3y))	\frac{\partial\:}{\partial\:x}(\sin(3x)\cos(3y))
tangent of f(x)=5x-3x^2,\at x=1	tangent\:f(x)=5x-3x^{2},\at\:x=1
derivative of ((x^2-6^3)/(x^2+4))	\frac{d}{dx}(\frac{(x^{2}-6)^{3}}{x^{2}+4})
(d^2}{d{x}^2}({x}^{9/5)/y ^7{z}^{2/7})	\frac{d^{2}}{d{x}^{2}}({x}^{\frac{9}{5}}{y}^{7}{z}^{\frac{2}{7}})
y^{''}-6y^'+9y=6e^{3x}	y^{\prime\:\prime\:}-6y^{\prime\:}+9y=6e^{3x}
integral of cos(x/2)	\int\:\cos(\frac{x}{2})dx
limit as x approaches 3 of 4cos(x)	\lim\:_{x\to\:3}(4\cos(x))
area x,x^{0.5}	area\:x,x^{0.5}
limit as x approaches 1-of ((1))/(x-1)	\lim\:_{x\to\:1-}(\frac{(1)}{x-1})
area e^x,e^{-x},-1,1	area\:e^{x},e^{-x},-1,1
derivative of 2ln(x)	derivative\:2\ln(x)
tangent of f(x)= 1/(1-x),(2,-1)	tangent\:f(x)=\frac{1}{1-x},(2,-1)
(d^2)/(dx^2)(e^{-x^2})	\frac{d^{2}}{dx^{2}}(e^{-x^{2}})
derivative of 4^x-e^x+x^3	\frac{d}{dx}(4^{x}-e^{x}+x^{3})
xy+2ln(y)y^'=0	xy+2\ln(y)y^{\prime\:}=0
integral of (tan^2(3/x))/(x^2)	\int\:\frac{\tan^{2}(\frac{3}{x})}{x^{2}}dx
e^x*y(dy)/(dx)=e^{-y}+e^{-2x-y}	e^{x}\cdot\:y\frac{dy}{dx}=e^{-y}+e^{-2x-y}
sum from n=9 to infinity of (8/9)^{-n}	\sum\:_{n=9}^{\infty\:}(\frac{8}{9})^{-n}
integral of 4/(x^3-4x^2+8x)	\int\:\frac{4}{x^{3}-4x^{2}+8x}dx
tangent of f(x)=1+2sin(x),\at x=0	tangent\:f(x)=1+2\sin(x),\at\:x=0
tangent of y=x^2-7x+7,(6,1)	tangent\:y=x^{2}-7x+7,(6,1)
limit as x approaches pi of e^x	\lim\:_{x\to\:π}(e^{x})
integral of x^3cos(h)x	\int\:x^{3}\cos(h)xdx
derivative of x^2csc(5x)	\frac{d}{dx}(x^{2}\csc(5x))
integral of 6sin(3x+1)	\int\:6\sin(3x+1)dx
limit as x approaches 1/6 of \|-6x+1\|	\lim\:_{x\to\:\frac{1}{6}}(\left\|-6x+1\right\|)
derivative of x^5-5x^4	\frac{d}{dx}(x^{5}-5x^{4})
derivative of x/(sqrt(1-4x^2))	\frac{d}{dx}(\frac{x}{\sqrt{1-4x^{2}}})
(\partial)/(\partial y)(y^2ln(x))	\frac{\partial\:}{\partial\:y}(y^{2}\ln(x))
limit as x approaches 1+of (x-2)/(x-1)	\lim\:_{x\to\:1+}(\frac{x-2}{x-1})
(\partial)/(\partial y)(x^2+y^4)	\frac{\partial\:}{\partial\:y}(x^{2}+y^{4})
integral of cot(x)csc^2(x)	\int\:\cot(x)\csc^{2}(x)dx
integral of cot(x/5)	\int\:\cot(\frac{x}{5})dx
area y=3-x^2,y=7-5x	area\:y=3-x^{2},y=7-5x
limit as x approaches 1 of (x^2-9)/(x+3)	\lim\:_{x\to\:1}(\frac{x^{2}-9}{x+3})
derivative of \|{f}(x\|)	\frac{d}{dx}(\left\|{f}(x)\right\|)
limit as x approaches pi/4 of csc(x)	\lim\:_{x\to\:\frac{π}{4}}(\csc(x))
integral of xsqrt(5+x)	\int\:x\sqrt{5+x}dx
tangent of y=3x^2	tangent\:y=3x^{2}
derivative of xe^{(-x^2/2})	\frac{d}{dx}(xe^{\frac{-x^{2}}{2}})
integral of cos(6x)cos(3x)	\int\:\cos(6x)\cos(3x)dx
integral of x*1/1	\int\:x\cdot\:\frac{1}{1}dx

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