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Popular Calculus Problems

derivative of sin(x)*cos(x)	derivative\:\sin(x)\cdot\:\cos(x)
integral of-sin(x)*cos^2(x)	\int\:-\sin(x)\cdot\:\cos^{2}(x)dx
integral of 1/(x^2sqrt(4x^2-9))	\int\:\frac{1}{x^{2}\sqrt{4x^{2}-9}}dx
(\partial)/(\partial y)(y-2)	\frac{\partial\:}{\partial\:y}(y-2)
derivative of (1.01)^x+0.33^x	derivative\:(1.01)^{x}+0.33^{x}
derivative of 4*(3/2)^x	derivative\:4\cdot\:(\frac{3}{2})^{x}
d/(d{r)}((2k)/({r)}+2pi{r}^2)	\frac{d}{d{r}}(\frac{2k}{{r}}+2π{r}^{2})
y^{''}-4y^{''}+2y=0	y^{\prime\:\prime\:}-4y^{\prime\:\prime\:}+2y=0
tangent of f(x)=x^2-4,\at x=1	tangent\:f(x)=x^{2}-4,\at\:x=1
(y^2+9)dx-1/((2x+1)^2)dy=0	(y^{2}+9)dx-\frac{1}{(2x+1)^{2}}dy=0
derivative of ((x+3)/(x-3))^5	derivative\:(\frac{x+3}{x-3})^{5}
integral of 5xsqrt(1-x^2)	\int\:5x\sqrt{1-x^{2}}dx
derivative of (3x+2/(sqrt(x+1)))	\frac{d}{dx}(\frac{3x+2}{\sqrt{x+1}})
integral from 0 to 1 of 8^x	\int\:_{0}^{1}8^{x}dx
integral of 1/(sqrt(1-3x^2))	\int\:\frac{1}{\sqrt{1-3x^{2}}}dx
(\partial)/(\partial z)(5e^xcos(yz))	\frac{\partial\:}{\partial\:z}(5e^{x}\cos(yz))
derivative of-9/(x^2)	derivative\:-\frac{9}{x^{2}}
area 0.8x+19,(355.6)/(x+6)	area\:0.8x+19,\frac{355.6}{x+6}
limit as x approaches 0 of (1-7x)^{4/x}	\lim\:_{x\to\:0}((1-7x)^{\frac{4}{x}})
integral from-1 to 3 of (3x^2-5)	\int\:_{-1}^{3}(3x^{2}-5)dx
integral from-2 to 3 of f(x)	\int\:_{-2}^{3}f(x)dx
sum from n=0 to infinity of ((x)^n)/(n!)	\sum\:_{n=0}^{\infty\:}\frac{(x)^{n}}{n!}
4x(dy)/(dx)-8y=x^{-9}	4x\frac{dy}{dx}-8y=x^{-9}
derivative of-3x(5x+4)^6	derivative\:-3x(5x+4)^{6}
integral of 13x	\int\:13xdx
f(t)=e^{6tsin(2t)}	f(t)=e^{6t\sin(2t)}
y^{''}-8y^'-9y=0	y^{\prime\:\prime\:}-8y^{\prime\:}-9y=0
derivative of-ie^{-ix}	\frac{d}{dx}(-ie^{-ix})
limit as x approaches 3-of \|(x-3)/(x-3)\|	\lim\:_{x\to\:3-}(\left\|\frac{x-3}{x-3}\right\|)
integral of 3/(x^2-8x+25)	\int\:\frac{3}{x^{2}-8x+25}dx
integral from 0 to 80 of (317)/(903*10)	\int\:_{0}^{80}\frac{317}{903\cdot\:10}
integral of (x^2)/(sqrt((1+x)))	\int\:\frac{x^{2}}{\sqrt{(1+x)}}dx
integral of 2/(x(x^2+4)^2)	\int\:\frac{2}{x(x^{2}+4)^{2}}dx
yy^'-8e^x=0	yy^{\prime\:}-8e^{x}=0
derivative of ln(2x+5)	derivative\:\ln(2x+5)
derivative of sqrt(sin(x^2))	derivative\:\sqrt{\sin(x^{2})}
integral of e^{2t}t	\int\:e^{2t}tdt
tangent of f(x)=3x^2-5x-1+e^{-x},\at x=0	tangent\:f(x)=3x^{2}-5x-1+e^{-x},\at\:x=0
integral of 2x^2-10x	\int\:2x^{2}-10xdx
integral of (40)/(16-x^2)	\int\:\frac{40}{16-x^{2}}dx
(d^2)/(dx^2)(8/(9x^5))	\frac{d^{2}}{dx^{2}}(\frac{8}{9x^{5}})
(\partial)/(\partial z)((x-y)/(y+z))	\frac{\partial\:}{\partial\:z}(\frac{x-y}{y+z})
integral of (e^t+t^e)	\int\:(e^{t}+t^{e})dt
area 2/x ,8x, x/2	area\:\frac{2}{x},8x,\frac{x}{2}
(\partial)/(\partial x)(e^{x+xy-2y})	\frac{\partial\:}{\partial\:x}(e^{x+xy-2y})
integral from 0 to 0.5 of 600x	\int\:_{0}^{0.5}600xdx
derivative of f(x)=5x^2-6x+6+ln(x)	derivative\:f(x)=5x^{2}-6x+6+\ln(x)
(d^2)/(dx^2)(4sqrt(y^2+7x^2))	\frac{d^{2}}{dx^{2}}(4\sqrt{y^{2}+7x^{2}})
derivative of-2Ae^{-2x}	\frac{d}{dx}(-2Ae^{-2x})
integral of xsin(x^2)	\int\:x\sin(x^{2})dx
integral of x^2e^{-x^3}	\int\:x^{2}e^{-x^{3}}dx
integral of 10sec(2x)tan(2x)	\int\:10\sec(2x)\tan(2x)dx
integral of cosh(x)sinh(x)	\int\:\cosh(x)\sinh(x)dx
integral of 7/(2x)	\int\:\frac{7}{2x}dx
y^'=((x^2y^4+3x^2))/(y^3)	y^{\prime\:}=\frac{(x^{2}y^{4}+3x^{2})}{y^{3}}
(\partial)/(\partial y)(x^2y^2-x)	\frac{\partial\:}{\partial\:y}(x^{2}y^{2}-x)
inverse oflaplace 3+t^5+sin(pit)	inverselaplace\:3+t^{5}+\sin(πt)
integral of 6sin^3(x)cos^7(x)	\int\:6\sin^{3}(x)\cos^{7}(x)dx
inverse oflaplace (2s^2+5s+7)/((s+1)^3)	inverselaplace\:\frac{2s^{2}+5s+7}{(s+1)^{3}}
derivative of (4sqrt(5x^3+x)/((x-1)))	\frac{d}{dx}(\frac{4\sqrt{5x^{3}+x}}{(x-1)})
inverse oflaplace (0.1m)/(s+0.1m)	inverselaplace\:\frac{0.1\cdot\:m}{s+0.1\cdot\:m}
derivative of x/(x+4)	derivative\:\frac{x}{x+4}
inverse oflaplace 1/(s+1)-s-1	inverselaplace\:\frac{1}{s+1}-s-1
tangent of y=x^5,(-1,-1)	tangent\:y=x^{5},(-1,-1)
derivative of 1/(2sqrt(x)+1/(4x^{3/4)})	\frac{d}{dx}(\frac{1}{2\sqrt{x}}+\frac{1}{4x^{\frac{3}{4}}})
(\partial)/(\partial y)((3x-y)/(5xy+9))	\frac{\partial\:}{\partial\:y}(\frac{3x-y}{5xy+9})
xy^'-y=x^2sin(x)	xy^{\prime\:}-y=x^{2}\sin(x)
(dx)/(dy)=5x(6-x)	\frac{dx}{dy}=5x(6-x)
(\partial)/(\partial x)(-(2x^2)/(5y^2))	\frac{\partial\:}{\partial\:x}(-\frac{2x^{2}}{5y^{2}})
limit as x approaches 0 of ((1+x)^5-1)/x	\lim\:_{x\to\:0}(\frac{(1+x)^{5}-1}{x})
limit as y approaches-3 of log_{2}(3)y^2	\lim\:_{y\to\:-3}(\log_{2}(3)y^{2})
integral of (r^3)/(1+r^2)	\int\:\frac{r^{3}}{1+r^{2}}dr
integral from 0 to 4 of xsqrt(4-x)	\int\:_{0}^{4}x\sqrt{4-x}dx
limit as x approaches infinity of ((x+1)^2e^{x^3})/(e^{(x+1)^3)x^2}	\lim\:_{x\to\:\infty\:}(\frac{(x+1)^{2}e^{x^{3}}}{e^{(x+1)^{3}}x^{2}})
limit as x approaches 16-of 8/(11+2^{\frac{1){x-16}}}	\lim\:_{x\to\:16-}(\frac{8}{11+2^{\frac{1}{x-16}}})
integral of 2(x^2+2x)^{16}(2x+2)	\int\:2(x^{2}+2x)^{16}(2x+2)dx
inverse oflaplace (2s)/((s^2+2s+6))	inverselaplace\:\frac{2s}{(s^{2}+2s+6)}
tangent of f(x)=3^{x^2-1},\at x=2	tangent\:f(x)=3^{x^{2}-1},\at\:x=2
y^{''}-y=4sin(3t)	y^{\prime\:\prime\:}-y=4\sin(3t)
integral of-2x^4-4x^2-5	\int\:-2x^{4}-4x^{2}-5dx
derivative of cot(pi/2)	\frac{d}{dx}(\cot(\frac{π}{2}))
(d^2y)/(dx^2)(x^2)-9x(dy)/(dx)+(61y)=0	\frac{d^{2}y}{dx^{2}}(x^{2})-9x\frac{dy}{dx}+(61y)=0
limit as x approaches-1 of 2x^2+3x-5	\lim\:_{x\to\:-1}(2x^{2}+3x-5)
derivative of (f(6x))^2+3	derivative\:(f(6x))^{2}+3
slope ofintercept (6,0),(4,6)	slopeintercept\:(6,0),(4,6)
d/(dy)(y^{3/2})	\frac{d}{dy}(y^{\frac{3}{2}})
integral of 1/(sqrt(x)\sqrt{9-x)}	\int\:\frac{1}{\sqrt{x}\sqrt{9-x}}dx
derivative of 2/((3-x^3))	\frac{d}{dx}(\frac{2}{(3-x)^{3}})
integral of (x^4-2x^2+7)/(x^4)	\int\:\frac{x^{4}-2x^{2}+7}{x^{4}}dx
integral from 0 to 1 of (x^4+8)/x	\int\:_{0}^{1}\frac{x^{4}+8}{x}dx
integral of xe^{x^2+1}	\int\:xe^{x^{2}+1}dx
derivative of (1+8x^2)(x-x^2)	derivative\:(1+8x^{2})(x-x^{2})
integral of 1/(\sqrt[8]{x^5)-\sqrt[8]{x}}	\int\:\frac{1}{\sqrt[8]{x^{5}}-\sqrt[8]{x}}dx
dx+e^{4x}dy=0	dx+e^{4x}dy=0
integral of (8(x^2+1))/(sqrt(4x^2+9))	\int\:\frac{8(x^{2}+1)}{\sqrt{4x^{2}+9}}dx
inverse oflaplace (1+6s^2)/(s(s^2+1))	inverselaplace\:\frac{1+6s^{2}}{s(s^{2}+1)}
(d^2y)/(dx^2)=(4sin(3x))	\frac{d^{2}y}{dx^{2}}=(4\sin(3x))
inverse oflaplace s/((s^2+4)(s+2))	inverselaplace\:\frac{s}{(s^{2}+4)(s+2)}
integral of-4x-1	\int\:-4x-1dx
derivative of y=sin(x^5)	derivative\:y=\sin(x^{5})

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