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Popular Calculus Problems

derivative of-e^x	\frac{d}{dx}(-e^{x})
integral of cot^4(x)csc^4(x)	\int\:\cot^{4}(x)\csc^{4}(x)dx
integral from 0 to pi/2 of 5cos^2(x)	\int\:_{0}^{\frac{π}{2}}5\cos^{2}(x)dx
y^{''}-4y^'+16y=0	y^{\prime\:\prime\:}-4y^{\prime\:}+16y=0
(\partial)/(\partial x)(1/(x+2ct))	\frac{\partial\:}{\partial\:x}(\frac{1}{x+2ct})
limit as x approaches 0 of (x+2)/(x^3+8)	\lim\:_{x\to\:0}(\frac{x+2}{x^{3}+8})
derivative of log_{3}(3x^3+4x+4)	derivative\:\log_{3}(3x^{3}+4x+4)
integral of 7sin^6(x)cos(x)	\int\:7\sin^{6}(x)\cos(x)dx
integral of 1/(e^{2y)-2e^y}	\int\:\frac{1}{e^{2y}-2e^{y}}dy
derivative of f(x)=6^xlog_{5}(x)	derivative\:f(x)=6^{x}\log_{5}(x)
integral from 0 to 2pi of cos^2(x)	\int\:_{0}^{2π}\cos^{2}(x)dx
(\partial)/(\partial y)(e^{3x+2y})	\frac{\partial\:}{\partial\:y}(e^{3x+2y})
integral of \sqrt[3]{1-x}	\int\:\sqrt[3]{1-x}dx
integral of 4/((x+1)^2)	\int\:\frac{4}{(x+1)^{2}}dx
derivative of 16sin(2x)	\frac{d}{dx}(16\sin(2x))
inverse oflaplace 1/(2s^2+4s+3)	inverselaplace\:\frac{1}{2s^{2}+4s+3}
y^'+4y=3sin(e^{4x})	y^{\prime\:}+4y=3\sin(e^{4x})
integral of (sqrt(4x^2-16))/x	\int\:\frac{\sqrt{4x^{2}-16}}{x}dx
derivative of (tan(x)^{-1})	\frac{d}{dx}((\tan(x))^{-1})
integral of sec^2(x)tan^4(x)	\int\:\sec^{2}(x)\tan^{4}(x)dx
limit as x approaches infinity of e^{(-x)/(100)}	\lim\:_{x\to\:\infty\:}(e^{\frac{-x}{100}})
limit as x approaches-2 of (x+3)/(x+2)	\lim\:_{x\to\:-2}(\frac{x+3}{x+2})
tangent of (2x^2+2)^3(x^2-1)^2	tangent\:(2x^{2}+2)^{3}(x^{2}-1)^{2}
limit as x approaches 1-of 1/(x^3-1)	\lim\:_{x\to\:1-}(\frac{1}{x^{3}-1})
inverse oflaplace (e^{-10s})/(s^2)	inverselaplace\:\frac{e^{-10s}}{s^{2}}
area x=-3,x=3,y=2e^{2x},y=e^{2x}+1	area\:x=-3,x=3,y=2e^{2x},y=e^{2x}+1
integral from 0 to 2pi of picos^2(x)	\int\:_{0}^{2π}π\cos^{2}(x)dx
derivative of ab	\frac{d}{dx}(ab)
integral of (8x+10)/(2x^2+5x)	\int\:\frac{8x+10}{2x^{2}+5x}dx
integral of 1/(xsqrt(256x^2-256))	\int\:\frac{1}{x\sqrt{256x^{2}-256}}dx
limit as x approaches 1-of (x-1)^2f(x)	\lim\:_{x\to\:1-}((x-1)^{2}f(x))
derivative of cot(x^7)	derivative\:\cot(x^{7})
limit as x approaches 2 of xsqrt(8-x^2)	\lim\:_{x\to\:2}(x\sqrt{8-x^{2}})
integral of 1/(sqrt(16x^2-25))	\int\:\frac{1}{\sqrt{16x^{2}-25}}dx
derivative of sqrt(pi)	\frac{d}{dx}(\sqrt{π})
2t(dy)/(dt)-2y=sqrt(t)	2t\frac{dy}{dt}-2y=\sqrt{t}
(\partial)/(\partial x)(ln(x+1))	\frac{\partial\:}{\partial\:x}(\ln(x+1))
integral from-7 to 7 of (e^x-e^{-x})^2	\int\:_{-7}^{7}(e^{x}-e^{-x})^{2}dx
derivative of (sqrt(x)+x/(x^2))	\frac{d}{dx}(\frac{\sqrt{x}+x}{x^{2}})
integral from 0 to 1 of 3ln(x)	\int\:_{0}^{1}3\ln(x)dx
integral of cos(x)sin(nx)	\int\:\cos(x)\sin(nx)dx
derivative of (cos(3x)*3)	\frac{d}{dx}((\cos(3x))\cdot\:3)
derivative of f(x)=-sqrt(x)	derivative\:f(x)=-\sqrt{x}
taylor ln(x/2),2	taylor\:\ln(\frac{x}{2}),2
integral from 0 to 2 of 1/((x^2+4)^2)	\int\:_{0}^{2}\frac{1}{(x^{2}+4)^{2}}dx
integral of (x^2-3x+2)	\int\:(x^{2}-3x+2)dx
integral of 1/(x-\sqrt[3]{x)}	\int\:\frac{1}{x-\sqrt[3]{x}}dx
limit as x approaches 0 of x^2*e^{1/x}	\lim\:_{x\to\:0}(x^{2}\cdot\:e^{\frac{1}{x}})
derivative of (x^{-3}+4(x^{-2}-5x))	\frac{d}{dx}((x^{-3}+4)(x^{-2}-5x))
(\partial)/(\partial x)((x^2-y^2)/(xy))	\frac{\partial\:}{\partial\:x}(\frac{x^{2}-y^{2}}{xy})
integral of 1+y^2	\int\:1+y^{2}dy
integral from-1 to 2 of 4x^3-3x^2	\int\:_{-1}^{2}4x^{3}-3x^{2}dx
integral of sin(3x)+e^{2x}	\int\:\sin(3x)+e^{2x}dx
integral of ((xsin^2(x))/2)	\int\:(\frac{x\sin^{2}(x)}{2})dx
limit as x approaches 0+of x^{(x^2)}	\lim\:_{x\to\:0+}(x^{(x^{2})})
limit as h approaches 0 of h^2	\lim\:_{h\to\:0}(h^{2})
laplacetransform 10t^3	laplacetransform\:10t^{3}
tangent of f(x)=2x^2+7x,\at x=4	tangent\:f(x)=2x^{2}+7x,\at\:x=4
derivative of sqrt(x^3+1)*\sqrt[3]{2x^5}	\frac{d}{dx}(\sqrt{x^{3}+1}\cdot\:\sqrt[3]{2x^{5}})
integral of (xe^{2x^2})	\int\:(xe^{2x^{2}})dx
limit as x approaches+1+of (x^2)/(x^2-x)	\lim\:_{x\to\:+1+}(\frac{x^{2}}{x^{2}-x})
d/(da)(sin(a)+cos(a))	\frac{d}{da}(\sin(a)+\cos(a))
derivative of 4/(ln(x))	derivative\:\frac{4}{\ln(x)}
limit as x approaches 23/2 of 3/2	\lim\:_{x\to\:\frac{23}{2}}(\frac{3}{2})
integral of x^2ln(7x)	\int\:x^{2}\ln(7x)dx
integral of 4/5-7/x	\int\:\frac{4}{5}-\frac{7}{x}dx
derivative of e^x(x^2+1)	derivative\:e^{x}(x^{2}+1)
derivative of (e^x/(1-e^{-x)})	\frac{d}{dx}(\frac{e^{x}}{1-e^{-x}})
(\partial)/(\partial y)(ln(x-8y))	\frac{\partial\:}{\partial\:y}(\ln(x-8y))
limit as x approaches 6 of 5	\lim\:_{x\to\:6}(5)
area x^2-25,25-x^2	area\:x^{2}-25,25-x^{2}
derivative of 3/2 x^2	derivative\:\frac{3}{2}x^{2}
sum from n=3 to infinity of n/(n+2)	\sum\:_{n=3}^{\infty\:}\frac{n}{n+2}
(1+t^2)y^'+4ty=(1+t^2)^{-2}	(1+t^{2})y^{\prime\:}+4ty=(1+t^{2})^{-2}
(dy)/(dx)=((e^{x-y}))/(1+e^x),y(1)=0	\frac{dy}{dx}=\frac{(e^{x-y})}{1+e^{x}},y(1)=0
integral of (7sin^3(x))/(cos(x))	\int\:\frac{7\sin^{3}(x)}{\cos(x)}dx
limit as h approaches o of ((5+h)-(5))/h	\lim\:_{h\to\:o}(\frac{(5+h)-(5)}{h})
integral of 1/(x*(1+ln^2(x)))	\int\:\frac{1}{x\cdot\:(1+\ln^{2}(x))}dx
integral of (sec^4(x)tan(x))/(243)	\int\:\frac{\sec^{4}(x)\tan(x)}{243}dx
derivative of sin^2(ax)	\frac{d}{dx}(\sin^{2}(ax))
derivative of (x^2/(5+2x))	\frac{d}{dx}(\frac{x^{2}}{5+2x})
integral of x/(sqrt(3x^2+5))	\int\:\frac{x}{\sqrt{3x^{2}+5}}dx
derivative of 4/((x+2^2+16))	\frac{d}{dx}(\frac{4}{(x+2)^{2}+16})
(\partial)/(\partial x)((e^x-x)cos(y))	\frac{\partial\:}{\partial\:x}((e^{x}-x)\cos(y))
d/(dt)(-32t)	\frac{d}{dt}(-32t)
integral of sqrt(25-x^2)-3	\int\:\sqrt{25-x^{2}}-3dx
limit as x approaches 3+of 1/(x+3)	\lim\:_{x\to\:3+}(\frac{1}{x+3})
(x+e^y)y^'=xe^{-y}-1	(x+e^{y})y^{\prime\:}=xe^{-y}-1
derivative of 2^{x-1}	derivative\:2^{x-1}
x(dy)/(dx)+5y=x^3-x	x\frac{dy}{dx}+5y=x^{3}-x
area 7e^x,7xe^{x^2},0,1	area\:7e^{x},7xe^{x^{2}},0,1
derivative of 2x^4-5x^3+4	\frac{d}{dx}(2x^{4}-5x^{3}+4)
limit as h approaches 0 of-2x-h+3	\lim\:_{h\to\:0}(-2x-h+3)
derivative of sqrt(3)cos(4x+sin(4x))	\frac{d}{dx}(\sqrt{3}\cos(4x)+\sin(4x))
area x=1,x=3,y=x^3-8,y=0	area\:x=1,x=3,y=x^{3}-8,y=0
laplacetransform 2(t-3)^2+15(t-3)+26	laplacetransform\:2(t-3)^{2}+15(t-3)+26
derivative of (8(4^x)/(x^4))	\frac{d}{dx}(\frac{8(4^{x})}{x^{4}})
integral from 0 to 1/3 of 5/(1+9x^2)	\int\:_{0}^{\frac{1}{3}}\frac{5}{1+9x^{2}}dx
derivative of 1/2 ln(x/2)	\frac{d}{dx}(\frac{1}{2}\ln(\frac{x}{2}))
derivative of x^{2/3}(x-4)	\frac{d}{dx}(x^{\frac{2}{3}}(x-4))

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