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Popular Calculus Problems

derivative of e^{4z}-4e^{-4z}	derivative\:e^{4z}-4e^{-4z}
(\partial)/(\partial y)(sin(x)sin(y))	\frac{\partial\:}{\partial\:y}(\sin(x)\sin(y))
(x+y)dx-(x-y)dy=0,y(1)=0	(x+y)dx-(x-y)dy=0,y(1)=0
integral of s/(s^2+6s+11)	\int\:\frac{s}{s^{2}+6s+11}ds
derivative of f(x)=sqrt(4x-3)	derivative\:f(x)=\sqrt{4x-3}
integral of-2cos(2x)	\int\:-2\cos(2x)dx
limit as x approaches 4/pi of cos(x)	\lim\:_{x\to\:\frac{4}{π}}(\cos(x))
derivative of \sqrt[3]{x}-6/x	\frac{d}{dx}(\sqrt[3]{x}-\frac{6}{x})
derivative of 1/8 x^8-x^4	\frac{d}{dx}(\frac{1}{8}x^{8}-x^{4})
derivative of ln(x^2-4x)	derivative\:\ln(x^{2}-4x)
(arcsin((2x)/(1+x^2)))^'	(\arcsin(\frac{2x}{1+x^{2}}))^{\prime\:}
derivative of x^4+x^3+2	derivative\:x^{4}+x^{3}+2
(\partial)/(\partial x)(sin(y)cos(x))	\frac{\partial\:}{\partial\:x}(\sin(y)\cos(x))
tangent of-8x^2+5	tangent\:-8x^{2}+5
integral of (4t)/(sqrt(1-16t^4))	\int\:\frac{4t}{\sqrt{1-16t^{4}}}dt
integral of sin(t)sec^5(t)	\int\:\sin(t)\sec^{5}(t)dt
limit as x approaches 0 of (x)x	\lim\:_{x\to\:0}((x)x)
integral of arccos(sqrt((1+x)/2))	\int\:\arccos(\sqrt{\frac{1+x}{2}})dx
integral of 1/(sqrt(1+u^2))	\int\:\frac{1}{\sqrt{1+u^{2}}}du
area y=x^2,y=x+6	area\:y=x^{2},y=x+6
derivative of-ln(-x)	\frac{d}{dx}(-\ln(-x))
derivative of f(x)=(e^x)/(2x+1)	derivative\:f(x)=\frac{e^{x}}{2x+1}
y^{''}+11y^'+30y=0	y^{\prime\:\prime\:}+11y^{\prime\:}+30y=0
extreme f(x,y)=sqrt(x^2+y^2)	extreme\:f(x,y)=\sqrt{x^{2}+y^{2}}
derivative of ln(16x)	derivative\:\ln(16x)
derivative of y=a^x	derivative\:y=a^{x}
tangent of f(x)=3-4x^2,(2,-13)	tangent\:f(x)=3-4x^{2},(2,-13)
derivative of ln(1/x)	derivative\:\ln(\frac{1}{x})
integral of (x+1)/(2+4x^2)	\int\:\frac{x+1}{2+4x^{2}}dx
derivative of x^3cot(x)	\frac{d}{dx}(x^{3}\cot(x))
integral of ((sin(sqrt(w))))/(sqrt(w))	\int\:\frac{(\sin(\sqrt{w}))}{\sqrt{w}}dw
inverse oflaplace ((s-2))/((s-2)^2-3)	inverselaplace\:\frac{(s-2)}{(s-2)^{2}-3}
integral of ((e^x))/(1+e^x)	\int\:\frac{(e^{x})}{1+e^{x}}dx
derivative of y=4tsqrt(t+7)	derivative\:y=4t\sqrt{t+7}
integral from-2 to 2 of x^2-1	\int\:_{-2}^{2}x^{2}-1dx
derivative of f(x)=2e^{-x}	derivative\:f(x)=2e^{-x}
integral of 4sin^4(x)cos^2(x)	\int\:4\sin^{4}(x)\cos^{2}(x)dx
taylor 1/(2+5x)	taylor\:\frac{1}{2+5x}
(dy)/(dx)=y^2-9	\frac{dy}{dx}=y^{2}-9
derivative of 5x^3+x^2+1/x	\frac{d}{dx}(5x^{3}+x^{2}+\frac{1}{x})
derivative of 2(5-9x^5)	\frac{d}{dx}(2(5-9x)^{5})
integral of (1-x)/(1-x^2)	\int\:\frac{1-x}{1-x^{2}}dx
integral from 0 to 2 of (x^2-2x)	\int\:_{0}^{2}(x^{2}-2x)dx
integral of sin^2(x+4)	\int\:\sin^{2}(x+4)dx
integral from 1 to infinity of xe^{-4x}	\int\:_{1}^{\infty\:}xe^{-4x}dx
integral of sin^4(4θ)	\int\:\sin^{4}(4θ)dθ
integral of ((16)/(1+x^2))	\int\:(\frac{16}{1+x^{2}})dx
derivative of sin(x^2)	derivative\:\sin(x^{2})
derivative of x*e^{4x}	\frac{d}{dx}(x\cdot\:e^{4x})
integral of ((x+2))/(x^2+3x-4)	\int\:\frac{(x+2)}{x^{2}+3x-4}dx
integral of ((e^{sqrt(x)}-3))/(sqrt(x))	\int\:\frac{(e^{\sqrt{x}}-3)}{\sqrt{x}}dx
integral of cos(nt)	\int\:\cos(nt)dt
derivative of x^3(x-4)	\frac{d}{dx}(x^{3}(x-4))
derivative of 91-90e^{-0.2t}	derivative\:91-90e^{-0.2t}
inverse oflaplace 6/s+16*1/(s^2+16)	inverselaplace\:\frac{6}{s}+16\cdot\:\frac{1}{s^{2}+16}
tangent of f(x)= 2/(4-x),\at x=-1	tangent\:f(x)=\frac{2}{4-x},\at\:x=-1
(sin^2(x))^'	(\sin^{2}(x))^{\prime\:}
derivative of 4x^{1/3}	\frac{d}{dx}(4x^{\frac{1}{3}})
area 5x-x^2,0	area\:5x-x^{2},0
limit as h approaches 0 of h	\lim\:_{h\to\:0}(h)
2x^2y+x^3((dy)/(dx))=1	2x^{2}y+x^{3}(\frac{dy}{dx})=1
derivative of f(x)=(ln(sqrt(x)))/x	derivative\:f(x)=\frac{\ln(\sqrt{x})}{x}
limit as x approaches 0 of (e^{2x}-5x)^2	\lim\:_{x\to\:0}((e^{2x}-5x)^{2})
integral of 9/(x(x^4+8))	\int\:\frac{9}{x(x^{4}+8)}dx
tangent of y=(5x)/(x+4),(1,1)	tangent\:y=\frac{5x}{x+4},(1,1)
integral of (cos(x))/(sin(2x))	\int\:\frac{\cos(x)}{\sin(2x)}dx
taylor 1/(x^2),2	taylor\:\frac{1}{x^{2}},2
(2x^2y+2sqrt(1+x^4y^2))dx+x^3dy=0	(2x^{2}y+2\sqrt{1+x^{4}y^{2}})dx+x^{3}dy=0
derivative of (4x+3^4(x+1)^{-3})	\frac{d}{dx}((4x+3)^{4}(x+1)^{-3})
(dq)/(dt)+1/(5*10^{-9)}q= 200/1000	\frac{dq}{dt}+\frac{1}{5\cdot\:10^{-9}}q=\frac{200}{1000}
integral of ((ln^6(x)))/x	\int\:\frac{(\ln^{6}(x))}{x}dx
derivative of e^{(x+y}-1)	\frac{d}{dx}(e^{(x+y)}-1)
tangent of f(x)=(1+5x)^9,(0,1)	tangent\:f(x)=(1+5x)^{9},(0,1)
taylor e^{-x},1	taylor\:e^{-x},1
(\partial)/(\partial x)((cos(x))^2)	\frac{\partial\:}{\partial\:x}((\cos(x))^{2})
tangent of-1/((x-6)^2)	tangent\:-\frac{1}{(x-6)^{2}}
integral of csc(4x)	\int\:\csc(4x)dx
derivative of arcsinh(x)	\frac{d}{dx}(\arcsinh(x))
d/(dt)(\sqrt[3]{t}(t^2+4))	\frac{d}{dt}(\sqrt[3]{t}(t^{2}+4))
integral of-4/(x^2)	\int\:-\frac{4}{x^{2}}dx
(dy)/(dx)= y/(y^2),y(0)=2	\frac{dy}{dx}=\frac{y}{y^{2}},y(0)=2
sum from n=1 to infinity of 1/(2+sin(n))	\sum\:_{n=1}^{\infty\:}\frac{1}{2+\sin(n)}
derivative of e^{14x}	\frac{d}{dx}(e^{14x})
integral of (x^2)/(\sqrt[3]{1+2x)}	\int\:\frac{x^{2}}{\sqrt[3]{1+2x}}dx
derivative of (x-2^2)	\frac{d}{dx}((x-2)^{2})
2(sqrt(xy)-y)dx-xdy=0	2(\sqrt{xy}-y)dx-xdy=0
integral of 1/(x^{1/2)}	\int\:\frac{1}{x^{\frac{1}{2}}}dx
integral of x*ln(5+x)	\int\:x\cdot\:\ln(5+x)dx
integral of pi/2-5x^{-0.5}	\int\:\frac{π}{2}-5x^{-0.5}dx
(d^3)/(dx^3)(x^4-8x^3)	\frac{d^{3}}{dx^{3}}(x^{4}-8x^{3})
derivative of e^{cos(sqrt(x+3)})	\frac{d}{dx}(e^{\cos(\sqrt{x+3})})
-8t^2y^{''}-4t(t-4)y^'+4(t-4)y=0	-8t^{2}y^{\prime\:\prime\:}-4t(t-4)y^{\prime\:}+4(t-4)y=0
area y^2=x,x-2y=3	area\:y^{2}=x,x-2y=3
derivative of 3x(x^2-x+1(5x-3))	\frac{d}{dx}(3x(x^{2}-x+1)(5x-3))
(dy)/(dt)=-2y,y(0)= 1/10	\frac{dy}{dt}=-2y,y(0)=\frac{1}{10}
tangent of x^2-8	tangent\:x^{2}-8
derivative of sin(2xcos(2x))	\frac{d}{dx}(\sin(2x)\cos(2x))
tangent of f(x)=x^3,\at x=6	tangent\:f(x)=x^{3},\at\:x=6
integral of-9x	\int\:-9xdx
limit as x approaches 2 of sqrt(51-x)-7	\lim\:_{x\to\:2}(\sqrt{51-x}-7)

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