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Popular Calculus Problems

derivative of 10000(12+xe^{-0.05x})	\frac{d}{dx}(10000(12+x)e^{-0.05x})
tangent of f(x)=-4x^2-5x+2	tangent\:f(x)=-4x^{2}-5x+2
integral from 0 to pi of xcos(3x)	\int\:_{0}^{π}x\cos(3x)dx
integral of (y^2+2y+1)/((y^2+1)^2)	\int\:\frac{y^{2}+2y+1}{(y^{2}+1)^{2}}dy
4y^{''}+28y^'+49y=0	4y^{\prime\:\prime\:}+28y^{\prime\:}+49y=0
derivative of f(t)=e^{t+9}	derivative\:f(t)=e^{t+9}
derivative of e^{x^9}	\frac{d}{dx}(e^{x^{9}})
(\partial)/(\partial x)(zcos(yx))	\frac{\partial\:}{\partial\:x}(z\cdot\:\cos(y\cdot\:x))
y^'=2y+e^x	y^{\prime\:}=2y+e^{x}
derivative of 4cos(cos(x))	derivative\:4\cos(\cos(x))
derivative of 3x^2cos(5x)	derivative\:3x^{2}\cos(5x)
derivative of f(x)=xcos(x)-sin(x)	derivative\:f(x)=x\cos(x)-\sin(x)
derivative of f(x)=ln(2x+1)	derivative\:f(x)=\ln(2x+1)
integral from 0 to 4 of 1/(sqrt(64-x^2))	\int\:_{0}^{4}\frac{1}{\sqrt{64-x^{2}}}dx
limit as x approaches infinity of ln(3)	\lim\:_{x\to\:\infty\:}(\ln(3))
derivative of x^{1/3}	derivative\:x^{\frac{1}{3}}
limit as x approaches 4 of sqrt(5-(-7))	\lim\:_{x\to\:4}(\sqrt{5-(-7)})
derivative of y=4e^x	derivative\:y=4e^{x}
integral of 10sin^2(x)cos^2(x)	\int\:10\sin^{2}(x)\cos^{2}(x)dx
(\partial)/(\partial x)(y/x+e^{xy}+xy^2)	\frac{\partial\:}{\partial\:x}(\frac{y}{x}+e^{xy}+xy^{2})
derivative of 1/3 tan^3(x)	\frac{d}{dx}(\frac{1}{3}\tan^{3}(x))
sum from n=1 to infinity of \|n!^2(5^n)\|	\sum\:_{n=1}^{\infty\:}\left\|n!^{2}(5^{n})\right\|
derivative of x^2e^{-x}+(ln(x))^2	derivative\:x^{2}e^{-x}+(\ln(x))^{2}
integral of 3sh^3x	\int\:3sh^{3}xdx
y^'=5x	y^{\prime\:}=5x
integral of (3/(x^4)+2-3/(x^2))	\int\:(\frac{3}{x^{4}}+2-\frac{3}{x^{2}})dx
integral from 1 to infinity of xe^{-6x}	\int\:_{1}^{\infty\:}xe^{-6x}dx
derivative of (4x-7/(x-2))	\frac{d}{dx}(\frac{4x-7}{x-2})
parity x^4sin(x)tan(x)	parity\:x^{4}\sin(x)\tan(x)
tangent of f(x)=5+5x^2-2x^3,\at x=1	tangent\:f(x)=5+5x^{2}-2x^{3},\at\:x=1
d/(dy)(e^{x-y})	\frac{d}{dy}(e^{x-y})
(\partial)/(\partial x)(cos(3x+6y))	\frac{\partial\:}{\partial\:x}(\cos(3x+6y))
maclaurin x^2e^{x^2}	maclaurin\:x^{2}e^{x^{2}}
integral of e^{6x}sin(7x)	\int\:e^{6x}\sin(7x)dx
slope of (4,-5),(6,-1)	slope\:(4,-5),(6,-1)
tangent of x/(1+x^2),\at x=1	tangent\:\frac{x}{1+x^{2}},\at\:x=1
integral of 2cos^3(5x)	\int\:2\cos^{3}(5x)dx
integral of (4x-3)^7	\int\:(4x-3)^{7}dx
(\partial)/(\partial y)(xye^{-1y})	\frac{\partial\:}{\partial\:y}(xye^{-1y})
integral of-3*sqrt(x)+2x	\int\:-3\cdot\:\sqrt{x}+2xdx
derivative of (-5)/(x^5)	derivative\:\frac{-5}{x^{5}}
integral from 1 to 4 of 3(ln(x))/(x^2)	\int\:_{1}^{4}3\frac{\ln(x)}{x^{2}}dx
integral of sin^3(x)cos^2(x	\int\:\sin^{3}(x)\cos^{2}(d)xdx
(\partial)/(\partial x)(x^2yz)	\frac{\partial\:}{\partial\:x}(x^{2}\cdot\:y\cdot\:z)
integral of cos(x)sin(x)	\int\:\cos(x)\sin(x)dx
(\partial)/(\partial x)(3(((4+z))/(5+x))^2)	\frac{\partial\:}{\partial\:x}(3(\frac{(4+z)}{5+x})^{2})
derivative of e^x-x^5	derivative\:e^{x}-x^{5}
sum from n=1 to infinity of 2^n 1/(n^2)	\sum\:_{n=1}^{\infty\:}2^{n}\frac{1}{n^{2}}
integral of (x^2)/(sqrt(144-x^2))	\int\:\frac{x^{2}}{\sqrt{144-x^{2}}}dx
integral from 3 to 32 of 1/(x^3-27)	\int\:_{3}^{32}\frac{1}{x^{3}-27}dx
tangent of f(x)=(5x)/(x+3),\at x=2	tangent\:f(x)=\frac{5x}{x+3},\at\:x=2
(\partial)/(\partial z)(xz+xyz)	\frac{\partial\:}{\partial\:z}(xz+xyz)
integral of (3x^2+2)/(x^2)	\int\:\frac{3x^{2}+2}{x^{2}}dx
integral of 30	\int\:30dx
sum from n=0 to infinity of 1/(ln(n))	\sum\:_{n=0}^{\infty\:}\frac{1}{\ln(n)}
derivative of y=-0.0959x^2+106.83x+71149	derivative\:y=-0.0959x^{2}+106.83x+71149
integral of \sqrt[3]{2-5x^2}(-10x)	\int\:\sqrt[3]{2-5x^{2}}(-10x)dx
integral from 1 to R of x^{-9/5}	\int\:_{1}^{R}x^{-\frac{9}{5}}dx
integral of 4/x-(4x)/(x^2+1)	\int\:\frac{4}{x}-\frac{4x}{x^{2}+1}dx
(sqrt(2x+1))^'	(\sqrt{2x+1})^{\prime\:}
integral of t^2sin(t)	\int\:t^{2}\sin(t)dt
(x+2)^2y^'+3(x+2)y=4	(x+2)^{2}y^{\prime\:}+3(x+2)y=4
(dy)/(dx)=2y+y^5,y(0)=1	\frac{dy}{dx}=2y+y^{5},y(0)=1
derivative of ln(2x^2-3x+1)	\frac{d}{dx}(\ln(2x^{2}-3x+1))
tangent of f(x)=xsqrt(x),\at x=9	tangent\:f(x)=x\sqrt{x},\at\:x=9
limit as x approaches infinity of (7.5x+120000)/x	\lim\:_{x\to\:\infty\:}(\frac{7.5x+120000}{x})
integral of θsin(θ)cos(θ)	\int\:θ\sin(θ)\cos(θ)dθ
(\partial)/(\partial x)((7x+8y)^3)	\frac{\partial\:}{\partial\:x}((7x+8y)^{3})
limit as x approaches infinity of (x^2)/(sqrt(x^4+2))	\lim\:_{x\to\:\infty\:}(\frac{x^{2}}{\sqrt{x^{4}+2}})
2txdx+(t^2-x^2)dt=0	2txdx+(t^{2}-x^{2})dt=0
limit as x approaches 3-of x^2+2x	\lim\:_{x\to\:3-}(x^{2}+2x)
derivative of 8x^7	\frac{d}{dx}(8x^{7})
integral of tan(X)	\int\:\tan(X)dX
derivative of y= 6/(sqrt(x))	derivative\:y=\frac{6}{\sqrt{x}}
derivative of 4xsqrt(x)	\frac{d}{dx}(4x\sqrt{x})
integral of 6/(6x+1)	\int\:\frac{6}{6x+1}dx
derivative of (4x^2+6x+8/(sqrt(x)))	\frac{d}{dx}(\frac{4x^{2}+6x+8}{\sqrt{x}})
d/(dy)(x^2-xy+2)	\frac{d}{dy}(x^{2}-xy+2)
derivative of y=(5+xf(x))/(sqrt(x))	derivative\:y=\frac{5+xf(x)}{\sqrt{x}}
integral of 9x^4	\int\:9x^{4}dx
y^'+2xy=2xe^{-x^2}	y^{\prime\:}+2xy=2xe^{-x^{2}}
(dy)/(dx)=(y^2x)/(x^2+1)	\frac{dy}{dx}=\frac{y^{2}x}{x^{2}+1}
y^{''}-8y^'+16y=(12e^{4t})/((t^2+1))	y^{\prime\:\prime\:}-8y^{\prime\:}+16y=\frac{12e^{4t}}{(t^{2}+1)}
tangent of y=sin(x)cos(x),\at x=(3pi)/4	tangent\:y=\sin(x)\cos(x),\at\:x=\frac{3π}{4}
limit as θ approaches pi/2 of 3sin(θ)	\lim\:_{θ\to\:\frac{π}{2}}(3\sin(θ))
derivative of 3x^2-8	\frac{d}{dx}(3x^{2}-8)
tangent of f(x)=2x^2-7x+5,\at x=2	tangent\:f(x)=2x^{2}-7x+5,\at\:x=2
integral of 1/(x(1000-x))	\int\:\frac{1}{x(1000-x)}dx
derivative of f(x)=cos((pix)/2)	derivative\:f(x)=\cos(\frac{πx}{2})
integral of (sqrt(x))/(1-xsqrt(x))	\int\:\frac{\sqrt{x}}{1-x\sqrt{x}}dx
derivative of y=(x+3)^2-(x-2)^2	derivative\:y=(x+3)^{2}-(x-2)^{2}
integral of (t^2)/((t^2-9)^{5/2)}	\int\:\frac{t^{2}}{(t^{2}-9)^{\frac{5}{2}}}dt
limit as h approaches 0 of (sin(pi/3+h)-sin(pi/3))/h	\lim\:_{h\to\:0}(\frac{\sin(\frac{π}{3}+h)-\sin(\frac{π}{3})}{h})
y^{''}+y=cos^2(t),y(0)=0,y^'(0)=0	y^{\prime\:\prime\:}+y=\cos^{2}(t),y(0)=0,y^{\prime\:}(0)=0
integral of e^{cos(2x)}sin(x)cos(x)	\int\:e^{\cos(2x)}\sin(x)\cos(x)dx
(t^2+x^2)dt+(2tx-x)dx=0	(t^{2}+x^{2})dt+(2tx-x)dx=0
limit as x approaches 0-of-7x^2+5x	\lim\:_{x\to\:0-}(-7x^{2}+5x)
derivative of y=(6x-1)/(8x+3)	derivative\:y=\frac{6x-1}{8x+3}
taylor tan^{-1}(x)	taylor\:\tan^{-1}(x)
derivative of (2-6x^{0.5})	\frac{d}{dx}((2-6x)^{0.5})

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