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Popular Calculus Problems

integral of e^{-0.02x}	\int\:e^{-0.02x}dx
integral of 1/((2x-1))	\int\:\frac{1}{(2x-1)}dx
t^2(dy)/(dt)-t=1+y+yt	t^{2}\frac{dy}{dt}-t=1+y+yt
y^{''}=ey	y^{\prime\:\prime\:}=ey
derivative of e^{x+5}	\frac{d}{dx}(e^{x+5})
area y=ln(x-1),y=x-2,x=3	area\:y=\ln(x-1),y=x-2,x=3
inverse oflaplace (100)/(s(s^2+2s+6))	inverselaplace\:\frac{100}{s(s^{2}+2s+6)}
f^'(x)=sec^2(x)	f^{\prime\:}(x)=\sec^{2}(x)
y^'-7y=14x	y^{\prime\:}-7y=14x
limit as x approaches infinity of 8	\lim\:_{x\to\:\infty\:}(8)
(\partial)/(\partial y)(ln(2xy+4))	\frac{\partial\:}{\partial\:y}(\ln(2xy+4))
derivative of f(x)=x^{cos(x)}	derivative\:f(x)=x^{\cos(x)}
tangent of f(x)=xsqrt(x),\at x=18	tangent\:f(x)=x\sqrt{x},\at\:x=18
limit as x approaches 2+of (1-x)/(x-2)	\lim\:_{x\to\:2+}(\frac{1-x}{x-2})
integral from 0 to 2 of 1/(4-x^2)	\int\:_{0}^{2}\frac{1}{4-x^{2}}dx
integral of (5x^2+15x+8)/((x+2)^2x)	\int\:\frac{5x^{2}+15x+8}{(x+2)^{2}x}dx
derivative of y=e^{-3x}	derivative\:y=e^{-3x}
derivative of \sqrt[3]{x-3}	\frac{d}{dx}(\sqrt[3]{x-3})
area 3x^4-3x^2,6x^2	area\:3x^{4}-3x^{2},6x^{2}
(\partial)/(\partial t)(t/(2y^4))	\frac{\partial\:}{\partial\:t}(\frac{t}{2y^{4}})
limit as x approaches 0-of 1/(2+e^{1/x)}	\lim\:_{x\to\:0-}(\frac{1}{2+e^{\frac{1}{x}}})
integral from 0 to 2 of 2x-x^2	\int\:_{0}^{2}2x-x^{2}dx
area 9x,x^2-10	area\:9x,x^{2}-10
(\partial)/(\partial x)(yz+xln(y)-z^2)	\frac{\partial\:}{\partial\:x}(yz+x\ln(y)-z^{2})
derivative of 3/(x+2)	derivative\:\frac{3}{x+2}
sum from n=1 to infinity of 1/((2n-1)^4)	\sum\:_{n=1}^{\infty\:}\frac{1}{(2n-1)^{4}}
derivative of (e^{(x^2}+4)^2)	\frac{d}{dx}((e^{(x^{2})}+4)^{2})
y^{''}-8y^'+18y=0,y(0)=1,y^'(0)=-4	y^{\prime\:\prime\:}-8y^{\prime\:}+18y=0,y(0)=1,y^{\prime\:}(0)=-4
integral of (8x^2+5)^{10}x	\int\:(8x^{2}+5)^{10}xdx
integral of 2x(x^2+7)^7	\int\:2x(x^{2}+7)^{7}dx
(dy)/(dx)=-1/3 x^3	\frac{dy}{dx}=-\frac{1}{3}x^{3}
(d^2)/(dx^2)(x+1/x)	\frac{d^{2}}{dx^{2}}(x+\frac{1}{x})
integral of (cos(2x))/(cos(x))	\int\:\frac{\cos(2x)}{\cos(x)}dx
8x^2y^'=y^'+8xe^{-y}	8x^{2}y^{\prime\:}=y^{\prime\:}+8xe^{-y}
derivative of f(x)=-7sqrt(x)-2/(x^7)	derivative\:f(x)=-7\sqrt{x}-\frac{2}{x^{7}}
(\partial)/(\partial x)(arctan(y))	\frac{\partial\:}{\partial\:x}(\arctan(y))
limit as x approaches 2 of pi	\lim\:_{x\to\:2}(π)
derivative of-sin(x+cos(x))	\frac{d}{dx}(-\sin(x)+\cos(x))
derivative of f(x)=(6x^2+4)e^x	derivative\:f(x)=(6x^{2}+4)e^{x}
integral of x/(x^2+6x+11)	\int\:\frac{x}{x^{2}+6x+11}dx
derivative of (5-3x^3)	\frac{d}{dx}((5-3x)^{3})
derivative of e^{6e^x}	derivative\:e^{6e^{x}}
integral from 0 to 1 of (2x-2x^2)	\int\:_{0}^{1}(2x-2x^{2})dx
derivative of x^4+x^3+x^2+1	\frac{d}{dx}(x^{4}+x^{3}+x^{2}+1)
integral of (2x+3)/(sqrt(x))	\int\:\frac{2x+3}{\sqrt{x}}dx
tangent of f(x)=4-x^2,(-1,3)	tangent\:f(x)=4-x^{2},(-1,3)
derivative of 7xsin(x)	derivative\:7x\sin(x)
integral from 1 to 3 of 2x+3	\int\:_{1}^{3}2x+3dx
derivative of 1/(9x+1)	\frac{d}{dx}(\frac{1}{9x+1})
integral of sin^2(x/3)	\int\:\sin^{2}(\frac{x}{3})dx
derivative of-2x+1/x	\frac{d}{dx}(-2x+\frac{1}{x})
integral of (5x^2+5x-4)	\int\:(5x^{2}+5x-4)dx
derivative of xcos(x^2)	derivative\:x\cos(x^{2})
derivative of (x+6/(5x^2e^x))	\frac{d}{dx}(\frac{x+6}{5x^{2}e^{x}})
derivative of f(x)=-cos(x)	derivative\:f(x)=-\cos(x)
limit as x approaches 16 of x-164	\lim\:_{x\to\:16}(x-164)
(\partial)/(\partial x)(arctan(x^2+y^2))	\frac{\partial\:}{\partial\:x}(\arctan(x^{2}+y^{2}))
derivative of (x^5)/(4-x^4)	derivative\:\frac{x^{5}}{4-x^{4}}
y^{'''}-7y^{''}-8y^'=0	y^{\prime\:\prime\:\prime\:}-7y^{\prime\:\prime\:}-8y^{\prime\:}=0
tangent of f(x)= 2/(x^2),\at x=1	tangent\:f(x)=\frac{2}{x^{2}},\at\:x=1
derivative of 1/2 cos^2(x/2)	\frac{d}{dx}(\frac{1}{2}\cos^{2}(\frac{x}{2}))
integral of x^3*cos(x^2)	\int\:x^{3}\cdot\:\cos(x^{2})dx
derivative of (4x^3-7x^7)	\frac{d}{dx}((4x^{3}-7x)^{7})
integral of xsqrt(2x-x^2)	\int\:x\sqrt{2x-x^{2}}dx
integral of ((8+5x)/(1+x^2))	\int\:(\frac{8+5x}{1+x^{2}})dx
derivative of 4x^4+x^3-(9x^2/2+8x)	\frac{d}{dx}(4x^{4}+x^{3}-\frac{9x^{2}}{2}+8x)
taylor sin(pix), 1/2	taylor\:\sin(πx),\frac{1}{2}
(cos^2(t))^'	(\cos^{2}(t))^{\prime\:}
derivative of 9x^7+3x^5-6x^6-2x^4	\frac{d}{dx}(9x^{7}+3x^{5}-6x^{6}-2x^{4})
derivative of 5x^2+7x-6	\frac{d}{dx}(5x^{2}+7x-6)
derivative of 10sqrt(x)*e^x	derivative\:10\sqrt{x}\cdot\:e^{x}
integral from 0 to 1 of 1.5x^2	\int\:_{0}^{1}1.5x^{2}dx
(\partial)/(\partial s)(2s^2t^2)	\frac{\partial\:}{\partial\:s}(2s^{2}t^{2})
derivative of x/(11-(11)/x)	\frac{d}{dx}(\frac{x}{11}-\frac{11}{x})
derivative of 2x+1/(ln(x^2+e+1)-4)	\frac{d}{dx}(2x+\frac{1}{\ln(x^{2}+e)+1}-4)
derivative of \sqrt[5]{6x}	\frac{d}{dx}(\sqrt[5]{6x})
derivative of x/4 arcsin(x)	derivative\:\frac{x}{4}\arcsin(x)
(\partial)/(\partial x)(1/(2x^2))	\frac{\partial\:}{\partial\:x}(\frac{1}{2x^{2}})
limit as x approaches 0 of (10)/x	\lim\:_{x\to\:0}(\frac{10}{x})
integral from ln(9) to ln(36) of e^{x/2}	\int\:_{\ln(9)}^{\ln(36)}e^{\frac{x}{2}}dx
f(x)= 3/(x^4)	f(x)=\frac{3}{x^{4}}
integral of e^{x^2-4}	\int\:e^{x^{2}-4}dx
limit as x approaches 4 of 3-4	\lim\:_{x\to\:4}(3-4)
integral of 1/(1+16x)	\int\:\frac{1}{1+16x}dx
(dy)/(dx)-y/x =7xe^x	\frac{dy}{dx}-\frac{y}{x}=7xe^{x}
integral from 1 to 36 of 1/(2x)	\int\:_{1}^{36}\frac{1}{2x}dx
limit as x approaches-5 of 3x+2	\lim\:_{x\to\:-5}(3x+2)
integral of x^3sqrt(81+x^2)	\int\:x^{3}\sqrt{81+x^{2}}dx
(\partial)/(\partial x)(e^{-x/(2y)})	\frac{\partial\:}{\partial\:x}(e^{-\frac{x}{2y}})
limit as x approaches 0 of 4/(14+x)	\lim\:_{x\to\:0}(\frac{4}{14+x})
derivative of y=((x-2))/(y+3)	derivative\:y=\frac{(x-2)}{y+3}
derivative of f(x)=e^{x^2+1}	derivative\:f(x)=e^{x^{2}+1}
limit as x approaches 0 of 1+1/(4x^2)	\lim\:_{x\to\:0}(1+\frac{1}{4x^{2}})
integral of (sqrt(x-2))/((x+1))	\int\:\frac{\sqrt{x-2}}{(x+1)}dx
integral of tan^7(x/2)sec^2(x/2)	\int\:\tan^{7}(\frac{x}{2})\sec^{2}(\frac{x}{2})dx
integral of 1.8t	\int\:1.8tdt
integral of e^xsqrt(49-e^{2x)}	\int\:e^{x}\sqrt{49-e^{2x}}dx
tangent of f(x)=ln(x-4)	tangent\:f(x)=\ln(x-4)
integral of (x^3)/(x^2-64)	\int\:\frac{x^{3}}{x^{2}-64}dx
tangent of f(x)= 1/(sqrt(x^2+1)),\at x=2	tangent\:f(x)=\frac{1}{\sqrt{x^{2}+1}},\at\:x=2

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