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Popular Calculus Problems

inverse oflaplace 1/(s^2+5s+2)	inverselaplace\:\frac{1}{s^{2}+5s+2}
derivative of ((3x+2)/(x-1))^7	derivative\:(\frac{3x+2}{x-1})^{7}
derivative of (2x^3+7)^2	derivative\:(2x^{3}+7)^{2}
integral of x^2*4^{-x}	\int\:x^{2}\cdot\:4^{-x}dx
tangent of f(x)=x^2,(0,-25)	tangent\:f(x)=x^{2},(0,-25)
integral of 2x^2+2	\int\:2x^{2}+2dx
integral of csc^7(x)	\int\:\csc^{7}(x)dx
integral of (3/2)^2	\int\:(\frac{3}{2})^{2}dx
tangent of f(x)=x^4-18x^2+81,\at x=-2	tangent\:f(x)=x^{4}-18x^{2}+81,\at\:x=-2
derivative of arcsin(6x^4)	derivative\:\arcsin(6x^{4})
limit as x approaches infinity of 3/x+5x	\lim\:_{x\to\:\infty\:}(\frac{3}{x}+5x)
area x-1,y^2=2x+6	area\:x-1,y^{2}=2x+6
derivative of sqrt(y-x-2)	\frac{d}{dx}(\sqrt{y-x-2})
(\partial)/(\partial x)(x^2(1+sin(1/x)))	\frac{\partial\:}{\partial\:x}(x^{2}(1+\sin(\frac{1}{x})))
limit as x approaches 2.5 of g(x)	\lim\:_{x\to\:2.5}(g(x))
integral of 1/(t^2+6t+25)	\int\:\frac{1}{t^{2}+6t+25}dt
slope of (3,2),(7,-4)	slope\:(3,2),(7,-4)
area x^2,2x-x^2,0,1	area\:x^{2},2x-x^{2},0,1
integral of x(x^4-1)^2	\int\:x(x^{4}-1)^{2}dx
derivative of x+ln(x^2-1)	\frac{d}{dx}(x+\ln(x^{2}-1))
limit as x approaches-2pi of sin(x)	\lim\:_{x\to\:-2π}(\sin(x))
limit as h approaches 1 of ((h-1)^3+1)/h	\lim\:_{h\to\:1}(\frac{(h-1)^{3}+1}{h})
limit as x approaches 0 of (arcsin(x))/x	\lim\:_{x\to\:0}(\frac{\arcsin(x)}{x})
(\partial)/(\partial y)(sin(y)-tan(x)-y)	\frac{\partial\:}{\partial\:y}(\sin(y)-\tan(x)-y)
derivative of ln(xe^{-2x})	derivative\:\ln(xe^{-2x})
integral of (x-2)/(x+2)	\int\:\frac{x-2}{x+2}dx
normal of y=x^3-3x+5,(3,23)	normal\:y=x^{3}-3x+5,(3,23)
integral of 8ln(\sqrt[3]{x})	\int\:8\ln(\sqrt[3]{x})dx
integral from 1 to 2 of ln(3x)	\int\:_{1}^{2}\ln(3x)dx
derivative of (x^2+3*sqrt(x))	\frac{d}{dx}((x^{2}+3)\cdot\:\sqrt{x})
derivative of x^2+36	derivative\:x^{2}+36
limit as x approaches 1+of x^{1/((x-1))}	\lim\:_{x\to\:1+}(x^{\frac{1}{(x-1)}})
integral of cos^9(x)tan^3(x)	\int\:\cos^{9}(x)\tan^{3}(x)dx
25y^{''}-40y^'+16y=0,y(0)=2,y^'(0)=3	25y^{\prime\:\prime\:}-40y^{\prime\:}+16y=0,y(0)=2,y^{\prime\:}(0)=3
integral of (24x^2)/(sqrt(36-x^2))	\int\:\frac{24x^{2}}{\sqrt{36-x^{2}}}dx
limit as x approaches 1 of 6x+4	\lim\:_{x\to\:1}(6x+4)
inverse oflaplace ((e^{s/2}))/(s^2)	inverselaplace\:\frac{(e^{\frac{s}{2}})}{s^{2}}
area x=y^2-7,x=1-y^2,-2<= y<= 2	area\:x=y^{2}-7,x=1-y^{2},-2\le\:y\le\:2
(dy)/(dt)t+y=2t	\frac{dy}{dt}t+y=2t
derivative of (x^2-4/(x^2-1))	\frac{d}{dx}(\frac{x^{2}-4}{x^{2}-1})
(\partial)/(\partial y)(7x^7y^4+2x^8y^6)	\frac{\partial\:}{\partial\:y}(7x^{7}y^{4}+2x^{8}y^{6})
integral from 0 to 9 of 6-2sqrt(x)	\int\:_{0}^{9}6-2\sqrt{x}dx
integral of x/(25+16x^4)	\int\:\frac{x}{25+16x^{4}}dx
integral of (x^2)/(sqrt(6-x))	\int\:\frac{x^{2}}{\sqrt{6-x}}dx
limit as x approaches 2 of f(x)	\lim\:_{x\to\:2}(f(x))
area y=x^3-9x^2+18x,y=-x^3+9x^2-18x	area\:y=x^{3}-9x^{2}+18x,y=-x^{3}+9x^{2}-18x
integral of xsin(6-x)	\int\:x\sin(6-x)dx
integral of (16)/(x^2+1)	\int\:\frac{16}{x^{2}+1}dx
integral of (-cos(x))/(sin^8(x))	\int\:\frac{-\cos(x)}{\sin^{8}(x)}dx
derivative of 3x^2+5x+1	\frac{d}{dx}(3x^{2}+5x+1)
integral of e^{2x+3}*sin(4x)	\int\:e^{2x+3}\cdot\:\sin(4x)dx
integral of x^2(x^3+5)^7	\int\:x^{2}(x^{3}+5)^{7}dx
derivative of f(x)=e^{-1}	derivative\:f(x)=e^{-1}
f(x)=x^8	f(x)=x^{8}
integral of sin(-4x)cos(3x)	\int\:\sin(-4x)\cos(3x)dx
(\partial)/(\partial y)(e^x(x-y)^2)	\frac{\partial\:}{\partial\:y}(e^{x}(x-y)^{2})
integral of (cos(x)+3^x)	\int\:(\cos(x)+3^{x})dx
limit as x approaches 0 of ((2-x)^2+1)/x	\lim\:_{x\to\:0}(\frac{(2-x)^{2}+1}{x})
integral from-infinity to infinity of 15xe^{-x^2}	\int\:_{-\infty\:}^{\infty\:}15xe^{-x^{2}}dx
(\partial)/(\partial z)(e^xcos(y))	\frac{\partial\:}{\partial\:z}(e^{x}\cos(y))
(\partial)/(\partial x)(x^2+3xy+y-1)	\frac{\partial\:}{\partial\:x}(x^{2}+3xy+y-1)
tangent of f(x)=-3x^3-2x^2-1	tangent\:f(x)=-3x^{3}-2x^{2}-1
integral from 1 to 32 of x^{-9/5}	\int\:_{1}^{32}x^{-\frac{9}{5}}dx
derivative of (-9x^2+4)^2	derivative\:(-9x^{2}+4)^{2}
integral of (2x^4+3x)/(2x^2)	\int\:\frac{2x^{4}+3x}{2x^{2}}dx
integral of 1/(1+t)	\int\:\frac{1}{1+t}dt
integral of e^{x^2}4x	\int\:e^{x^{2}}4xdx
integral from 1 to 3 of x^2	\int\:_{1}^{3}x^{2}dx
limit as x approaches 4+of (-3)/(8-2x)	\lim\:_{x\to\:4+}(\frac{-3}{8-2x})
derivative of 6x^{1.5}-4x^{0.5}	\frac{d}{dx}(6x^{1.5}-4x^{0.5})
(\partial)/(\partial x)(xe^{-y}+ye^{-x})	\frac{\partial\:}{\partial\:x}(xe^{-y}+ye^{-x})
derivative of e^tsin(6t)	derivative\:e^{t}\sin(6t)
derivative of sin(xsqrt(x))	\frac{d}{dx}(\sin(x)\sqrt{x})
tangent of f(x)=7e^x+4x,\at x=0	tangent\:f(x)=7e^{x}+4x,\at\:x=0
integral of 5^xe^{-x}	\int\:5^{x}e^{-x}dx
(\partial)/(\partial x)((x-a)^{-1})	\frac{\partial\:}{\partial\:x}((x-a)^{-1})
integral of (x^2)/(sqrt(2x-x^2))	\int\:\frac{x^{2}}{\sqrt{2x-x^{2}}}dx
integral of 4sin(wt)e^t	\int\:4\sin(wt)e^{t}dt
tangent of y=(7x^2-6x+3)(1+2x),\at x=1	tangent\:y=(7x^{2}-6x+3)(1+2x),\at\:x=1
integral of 1/4	\int\:\frac{1}{4}dx
derivative of (3/4 ^{-4/3})	\frac{d}{dx}((\frac{3}{4})^{-\frac{4}{3}})
(\partial)/(\partial x)(2e^{xyz}xz)	\frac{\partial\:}{\partial\:x}(2e^{xyz}xz)
x^2y^'=3xy+4x^6	x^{2}y^{\prime\:}=3xy+4x^{6}
limit as h approaches 0 of (\|3+h\|-\|3\|)/h	\lim\:_{h\to\:0}(\frac{\left\|3+h\right\|-\left\|3\right\|}{h})
derivative of x-\|ln\|x\|\|	\frac{d}{dx}(x-\left\|\ln\left\|x\right\|\right\|)
(\partial)/(\partial y)(x^3y+e^x)	\frac{\partial\:}{\partial\:y}(x^{3}y+e^{x})
x^'=x^{4/5}	x^{\prime\:}=x^{\frac{4}{5}}
integral from 0 to 1 of x^1e^{-x^2}	\int\:_{0}^{1}x^{1}e^{-x^{2}}dx
derivative of 2x^7-x^5+5x^3-8x+4	\frac{d}{dx}(2x^{7}-x^{5}+5x^{3}-8x+4)
derivative of ((5x+3)/(3e^x))	\frac{d}{dx}(\frac{(5x+3)}{3e^{x}})
integral of sin(x)sec^5(x)	\int\:\sin(x)\sec^{5}(x)dx
tangent of f(x)=x^2-9,\at x=2	tangent\:f(x)=x^{2}-9,\at\:x=2
derivative of 8/(x^3)	derivative\:\frac{8}{x^{3}}
derivative of (5x^3^x)	\frac{d}{dx}((5x^{3})^{x})
x(dy)/(dx)+y=3xy	x\frac{dy}{dx}+y=3xy
integral of ln(9)	\int\:\ln(9)dx
d/(dz)(sinh(z+ipi))	\frac{d}{dz}(\sinh(z+iπ))
(\partial)/(\partial t)(9cos(t))	\frac{\partial\:}{\partial\:t}(9\cos(t))
derivative of (x^3ln(x)/(x+2))	\frac{d}{dx}(\frac{x^{3}\ln(x)}{x+2})
integral of 3/(xsqrt(x^2-1))	\int\:\frac{3}{x\sqrt{x^{2}-1}}dx

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