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Popular Calculus Problems

integral of (2x)/3	\int\:\frac{2x}{3}dx
integral of (7x^2)/(sqrt(4x-x^2))	\int\:\frac{7x^{2}}{\sqrt{4x-x^{2}}}dx
integral from 0 to 1 of xsqrt(3-x^2)	\int\:_{0}^{1}x\sqrt{3-x^{2}}dx
tangent of f(x)=[1+e^x][ln(x)],\at x=1	tangent\:f(x)=[1+e^{x}][\ln(x)],\at\:x=1
f(x)=e^xcos(x)	f(x)=e^{x}\cos(x)
v''-v=0	v\prime\:\prime\:-v=0
integral of te^{-st}sin(t)	\int\:te^{-st}\sin(t)dt
(\partial)/(\partial x)(-(xcos(y))/(x-1))	\frac{\partial\:}{\partial\:x}(-\frac{x\cos(y)}{x-1})
derivative of sin(tan(6x))	derivative\:\sin(\tan(6x))
sum from n=1 to infinity of n^{-8}	\sum\:_{n=1}^{\infty\:}n^{-8}
derivative of ln(q/7)	derivative\:\ln(\frac{q}{7})
(\partial)/(\partial x)(4xe^{-x^2-y^2-z^2})	\frac{\partial\:}{\partial\:x}(4xe^{-x^{2}-y^{2}-z^{2}})
integral from 6 to 8 of (36)/((x-6)^3)	\int\:_{6}^{8}\frac{36}{(x-6)^{3}}dx
derivative of 2x^2ln(2x)	derivative\:2x^{2}\ln(2x)
(\partial)/(\partial x)(cos^2(2x))	\frac{\partial\:}{\partial\:x}(\cos^{2}(2x))
limit as x approaches 0 of-cos(1/x)	\lim\:_{x\to\:0}(-\cos(\frac{1}{x}))
tangent of f(x)=4x^2+2x,\at x=2	tangent\:f(x)=4x^{2}+2x,\at\:x=2
(\partial)/(\partial x)(sech^2(x-t))	\frac{\partial\:}{\partial\:x}(\sech^{2}(x-t))
integral of x^3cos(x^4+2)	\int\:x^{3}\cos(x^{4}+2)dx
integral from 0 to 3 of (3t)/((t-4)^2)	\int\:_{0}^{3}\frac{3t}{(t-4)^{2}}dt
derivative of 2x+7+(450/x)	\frac{d}{dx}(2x+7+\frac{450}{x})
derivative of f(x)= 2/3 (x^2+1)^{3/2}	derivative\:f(x)=\frac{2}{3}(x^{2}+1)^{\frac{3}{2}}
y^{''}+y=0,y(pi/3)=0,y^'(pi/3)=6	y^{\prime\:\prime\:}+y=0,y(\frac{π}{3})=0,y^{\prime\:}(\frac{π}{3})=6
integral of (x+1)/(x^2)	\int\:\frac{x+1}{x^{2}}dx
integral of 1/(x^2+5x+6)	\int\:\frac{1}{x^{2}+5x+6}dx
derivative of y=cos(e^{-t^2})	derivative\:y=\cos(e^{-t^{2}})
derivative of (x^2+2(x^3+1))	\frac{d}{dx}((x^{2}+2)(x^{3}+1))
d/(dt)(0.0225te^{-0.0467t})	\frac{d}{dt}(0.0225te^{-0.0467t})
integral of x/(sqrt(9-64x^2))	\int\:\frac{x}{\sqrt{9-64x^{2}}}dx
integral from 0 to 16 of sqrt(1+3x)	\int\:_{0}^{16}\sqrt{1+3x}dx
derivative of ln(x+y-1)	\frac{d}{dx}(\ln(x+y-1))
x^2((dy)/(dx))=y-yx	x^{2}(\frac{dy}{dx})=y-yx
normal of y=x^2-6x,(5,-5)	normal\:y=x^{2}-6x,(5,-5)
y^{''}-2y^'+10y=9etcsc(3t)	y^{\prime\:\prime\:}-2y^{\prime\:}+10y=9et\csc(3t)
derivative of y=ln(xsqrt(x^2-9))	derivative\:y=\ln(x\sqrt{x^{2}-9})
sum from n=1 to infinity of ln(n/(2n+1))	\sum\:_{n=1}^{\infty\:}\ln(\frac{n}{2n+1})
limit as x approaches 12 of sqrt(25-x^2)	\lim\:_{x\to\:12}(\sqrt{25-x^{2}})
derivative of y=(x+2)^2-3	derivative\:y=(x+2)^{2}-3
integral of (3x^2+ln(x))	\int\:(3x^{2}+\ln(x))dx
tangent of sqrt(5x+4)	tangent\:\sqrt{5x+4}
integral of (sin(2x))/(2+cos(x))	\int\:\frac{\sin(2x)}{2+\cos(x)}dx
integral from-5 to 5 of y/(sqrt(25-y^2))	\int\:_{-5}^{5}\frac{y}{\sqrt{25-y^{2}}}dy
derivative of x^3(2x-1)^7	derivative\:x^{3}(2x-1)^{7}
limit as x approaches 0 of x+2	\lim\:_{x\to\:0}(x+2)
maclaurin sqrt(1+x)	maclaurin\:\sqrt{1+x}
integral of x^3-9x	\int\:x^{3}-9xdx
derivative of sin(x+3+(-cos(x-1/2)))	\frac{d}{dx}(\sin(x+3)+(-\cos(x-\frac{1}{2})))
integral from-2 to-1 of 6x^{-3}	\int\:_{-2}^{-1}6x^{-3}dx
derivative of (x^2+x/(x+1))	\frac{d}{dx}(\frac{x^{2}+x}{x+1})
derivative of (x^2+2/(x^4-3x^2+1))	\frac{d}{dx}(\frac{x^{2}+2}{x^{4}-3x^{2}+1})
y^{''}-4y^'+13y=0,y(0)=1,y^'(0)=4	y^{\prime\:\prime\:}-4y^{\prime\:}+13y=0,y(0)=1,y^{\prime\:}(0)=4
integral of sqrt(x^2+1)x	\int\:\sqrt{x^{2}+1}xdx
limit as x approaches 0 of sin(x)*ln(4x)	\lim\:_{x\to\:0}(\sin(x)\cdot\:\ln(4x))
(\partial)/(\partial x)(2x+y-5)	\frac{\partial\:}{\partial\:x}(2x+y-5)
derivative of arccos(y/x)	\frac{d}{dx}(\arccos(\frac{y}{x}))
y^'=y*tan(x)+sin(x)	y^{\prime\:}=y\cdot\:\tan(x)+\sin(x)
(\partial)/(\partial x)(xln(x^2y+y^2))	\frac{\partial\:}{\partial\:x}(x\ln(x^{2}y+y^{2}))
integral of 3x^2(x^3+1)^6	\int\:3x^{2}(x^{3}+1)^{6}dx
integral of x(x+1)^{-4}	\int\:x(x+1)^{-4}dx
integral of (x^8+sec^2(x))	\int\:(x^{8}+\sec^{2}(x))dx
derivative of f(x)=((x^3+9))/(x^3)	derivative\:f(x)=\frac{(x^{3}+9)}{x^{3}}
limit as x approaches 0 of tan(3x)	\lim\:_{x\to\:0}(\tan(3x))
integral of (sqrt(x-2))/x	\int\:\frac{\sqrt{x-2}}{x}dx
derivative of 18sqrt(t)	derivative\:18\sqrt{t}
derivative of y=-2e^{-x^2}x	derivative\:y=-2e^{-x^{2}}x
integral of (3sqrt(x))/(1+x^3)	\int\:\frac{3\sqrt{x}}{1+x^{3}}dx
y^'+2xy=y+4x-2	y^{\prime\:}+2xy=y+4x-2
derivative of 1/(1+e^x)	\frac{d}{dx}(\frac{1}{1+e^{x}})
(\partial)/(\partial y)(3x^2+y^2)	\frac{\partial\:}{\partial\:y}(3x^{2}+y^{2})
3xy^'+4y=sqrt(x/y)	3xy^{\prime\:}+4y=\sqrt{\frac{x}{y}}
laplacetransform 1+3t+3t^2	laplacetransform\:1+3t+3t^{2}
derivative of (sin(x+1)/(e^x))	\frac{d}{dx}(\frac{\sin(x+1)}{e^{x}})
inverse oflaplace (e^{-4x})/((x-2)^2)	inverselaplace\:\frac{e^{-4x}}{(x-2)^{2}}
limit as x approaches infinity of (1+c/x)^{2x}	\lim\:_{x\to\:\infty\:}((1+\frac{c}{x})^{2x})
integral of (10x^9-9/(x^9))	\int\:(10x^{9}-\frac{9}{x^{9}})dx
limit as x approaches 1 of x^4e^{-x^2}	\lim\:_{x\to\:1}(x^{4}e^{-x^{2}})
derivative of-2xe^{-x}	\frac{d}{dx}(-2xe^{-x})
integral of 5sin(t/2)-4cos(2t)	\int\:5\sin(\frac{t}{2})-4\cos(2t)dt
derivative of x^4-4x	\frac{d}{dx}(x^{4}-4x)
(\partial)/(\partial x)(x^2sin(y))	\frac{\partial\:}{\partial\:x}(x^{2}\sin(y))
derivative of (5x+7^2)	\frac{d}{dx}((5x+7)^{2})
integral from 0 to 0.3 of 600x	\int\:_{0}^{0.3}600xdx
integral of ((1+\sqrt[3]{x})^2)/(\sqrt[3]{x)}	\int\:\frac{(1+\sqrt[3]{x})^{2}}{\sqrt[3]{x}}dx
f(x)=2ln(x)	f(x)=2\ln(x)
derivative of ln(1/(sqrt(x)))	\frac{d}{dx}(\ln(\frac{1}{\sqrt{x}}))
limit as x approaches 2 of (5x+7)^4	\lim\:_{x\to\:2}((5x+7)^{4})
integral of (x^3+1)/(x+2)	\int\:\frac{x^{3}+1}{x+2}dx
(e^{-x})^'	(e^{-x})^{\prime\:}
limit as x approaches 0-of e^{(-1)/x}	\lim\:_{x\to\:0-}(e^{\frac{-1}{x}})
integral of (2x+2)/((x^2+1)(x-1)^3)	\int\:\frac{2x+2}{(x^{2}+1)(x-1)^{3}}dx
sum from n=0 to infinity of ((2pi)/3)^n	\sum\:_{n=0}^{\infty\:}(\frac{2π}{3})^{n}
limit as x approaches pi/2 of sin(x-a)	\lim\:_{x\to\:\frac{π}{2}}(\sin(x-a))
integral of-x+3	\int\:-x+3dx
integral of (x^6+sec^2(x))	\int\:(x^{6}+\sec^{2}(x))dx
derivative of 484	derivative\:484
integral of 1/(xsqrt((x+1)))	\int\:\frac{1}{x\sqrt{(x+1)}}dx
derivative of 3x^{2x}	derivative\:3x^{2x}
limit as x approaches infinity of (5x)/x	\lim\:_{x\to\:\infty\:}(\frac{5x}{x})
laplacetransform t^5	laplacetransform\:t^{5}
derivative of f(x)=a^6+cos^6(x)	derivative\:f(x)=a^{6}+\cos^{6}(x)

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