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Popular Calculus Problems

d/(dq)(-0.1q^2+1.2q+46.4)	\frac{d}{dq}(-0.1q^{2}+1.2q+46.4)
sum from n=1 to infinity of (9/8)^n	\sum\:_{n=1}^{\infty\:}(\frac{9}{8})^{n}
implicit (dy)/(dx),xy+3=y	implicit\:\frac{dy}{dx},xy+3=y
integral of ((x^7))/(1+x^{16)}	\int\:\frac{(x^{7})}{1+x^{16}}dx
(\partial)/(\partial x)(2x^3y-3y^2z)	\frac{\partial\:}{\partial\:x}(2x^{3}y-3y^{2}z)
derivative of 2sqrt(4-x)	derivative\:2\sqrt{4-x}
derivative of kaln((x+d/(x-d)))	\frac{d}{dx}(ka\ln(\frac{x+d}{x-d}))
taylor 1/2 cos(7x)	taylor\:\frac{1}{2}\cos(7x)
(dy)/(dx)=y^2+2y	\frac{dy}{dx}=y^{2}+2y
(\partial)/(\partial x)(e^{ix})	\frac{\partial\:}{\partial\:x}(e^{ix})
y^'+y=t	y^{\prime\:}+y=t
derivative of (sqrt(x)/(x+3))	\frac{d}{dx}(\frac{\sqrt{x}}{x+3})
integral of 1/(x^2sqrt(9+x^2))	\int\:\frac{1}{x^{2}\sqrt{9+x^{2}}}dx
(dy)/(dx)=e^{-x^2},y(3)=5	\frac{dy}{dx}=e^{-x^{2}},y(3)=5
integral of (4-3x)^5+e^{2x+5}+sin(9x)	\int\:(4-3x)^{5}+e^{2x+5}+\sin(9x)dx
y^'+y/x =x	y^{\prime\:}+\frac{y}{x}=x
integral from 1 to infinity of 3/(x^5)	\int\:_{1}^{\infty\:}\frac{3}{x^{5}}dx
d/(dy)(2xy^2-3)	\frac{d}{dy}(2xy^{2}-3)
derivative of t^4	derivative\:t^{4}
limit as x approaches 0+of 1/(x^2)-1/x	\lim\:_{x\to\:0+}(\frac{1}{x^{2}}-\frac{1}{x})
integral of 2cos(y^2)	\int\:2\cos(y^{2})dy
e^{x+y}dx+e^{x-y}dy=0	e^{x+y}dx+e^{x-y}dy=0
derivative of f(x)=(x^2)/(x+7)	derivative\:f(x)=\frac{x^{2}}{x+7}
f(x)=(3x^2)/(ln(x))	f(x)=\frac{3x^{2}}{\ln(x)}
integral of (x^3)/((6-x^4)^2)	\int\:\frac{x^{3}}{(6-x^{4})^{2}}dx
integral of (7x^2+16x-19)/(x^2+2x-3)	\int\:\frac{7x^{2}+16x-19}{x^{2}+2x-3}dx
derivative of f(x)= 1/(3(x)^2+2(x))	derivative\:f(x)=\frac{1}{3(x)^{2}+2(x)}
tangent of f(x)=2x^3+42x^2+288x+14	tangent\:f(x)=2x^{3}+42x^{2}+288x+14
integral of (sqrt(3)+sqrt(x))^2	\int\:(\sqrt{3}+\sqrt{x})^{2}dx
derivative of f(x)=-x^2	derivative\:f(x)=-x^{2}
limit as x approaches 7 of 3/(x-7)	\lim\:_{x\to\:7}(\frac{3}{x-7})
limit as x approaches 0 of (3x)/(x^2+2x)	\lim\:_{x\to\:0}(\frac{3x}{x^{2}+2x})
tangent of 2/x	tangent\:\frac{2}{x}
(\partial)/(\partial x)(sqrt(4-x))	\frac{\partial\:}{\partial\:x}(\sqrt{4-x})
integral of f(g(x))	\int\:f(g(x))
integral from 0 to 2 of 1/(sqrt(x))	\int\:_{0}^{2}\frac{1}{\sqrt{x}}dx
derivative of sin^n(x)	\frac{d}{dx}(\sin^{n}(x))
4xy^3y^'=x^4+4y^4	4xy^{3}y^{\prime\:}=x^{4}+4y^{4}
integral of sqrt(49-x^2)	\int\:\sqrt{49-x^{2}}dx
integral of (x^5-x^3+8x)/(x^4)	\int\:\frac{x^{5}-x^{3}+8x}{x^{4}}dx
derivative of (1+x^{3/2})	\frac{d}{dx}((1+x)^{\frac{3}{2}})
limit as x approaches 2-of 10-x-x^2	\lim\:_{x\to\:2-}(10-x-x^{2})
integral of sec^2(9x)	\int\:\sec^{2}(9x)dx
derivative of ({F}(x)/A)	\frac{d}{dx}(\frac{{F}(x)}{A})
integral from 1 to 2 of x^2-x	\int\:_{1}^{2}x^{2}-xdx
derivative of (x^2-6x/(x+1))	\frac{d}{dx}(\frac{x^{2}-6x}{x+1})
integral of (3x^4+x^2+2)	\int\:(3x^{4}+x^{2}+2)dx
(\partial)/(\partial x)(12x^2y^5+x^2y^2)	\frac{\partial\:}{\partial\:x}(12x^{2}y^{5}+x^{2}y^{2})
limit as x approaches 0 of x^4f(x)	\lim\:_{x\to\:0}(x^{4}f(x))
integral of 1/(x^2)(1+1/x)^{1/2}	\int\:\frac{1}{x^{2}}(1+\frac{1}{x})^{\frac{1}{2}}dx
2y(x+1)dy=xdx	2y(x+1)dy=xdx
taylor 1/(x^2),\at 4	taylor\:\frac{1}{x^{2}},\at\:4
(\partial)/(\partial x)(e^xx+2e^xy)	\frac{\partial\:}{\partial\:x}(e^{x}x+2e^{x}y)
integral from 2 to 3 of 3-x	\int\:_{2}^{3}3-xdx
y^'=-5sin(3t)+2cos(4t)	y^{\prime\:}=-5\sin(3t)+2\cos(4t)
limit as x approaches 0 of 1/(sin(5x))	\lim\:_{x\to\:0}(\frac{1}{\sin(5x)})
area y=-x^2+16,x=-2,y=0,x=3	area\:y=-x^{2}+16,x=-2,y=0,x=3
integral of e^{2-3x}	\int\:e^{2-3x}dx
limit as x approaches (0)+of 3x^{(x/2)}	\lim\:_{x\to\:(0)+}(3x^{(\frac{x}{2})})
derivative of 14xe^x	\frac{d}{dx}(14xe^{x})
integral of (x+5)(x-3)	\int\:(x+5)(x-3)dx
derivative of 2e^{cos(x})	\frac{d}{dx}(2e^{\cos(x)})
integral of x^6(x+4)	\int\:x^{6}(x+4)dx
sum from n=1 to infinity of n/(n+2)	\sum\:_{n=1}^{\infty\:}\frac{n}{n+2}
y^{''}+12y^'+85y=0	y^{\prime\:\prime\:}+12y^{\prime\:}+85y=0
integral of 2e^{-5x}	\int\:2e^{-5x}dx
derivative of-2x^{2/3}-4	derivative\:-2x^{\frac{2}{3}}-4
integral of (5x^2)/(x+7)	\int\:\frac{5x^{2}}{x+7}dx
limit as x approaches 3-of 7/(x-3)	\lim\:_{x\to\:3-}(\frac{7}{x-3})
limit as x approaches 0 of log_{e}(x^2)	\lim\:_{x\to\:0}(\log_{e}(x^{2}))
limit as x approaches 1 of sqrt(x-1)+4	\lim\:_{x\to\:1}(\sqrt{x-1}+4)
laplacetransform t*cos(3t)	laplacetransform\:t\cdot\:\cos(3t)
derivative of x^5e^{4x}	\frac{d}{dx}(x^{5}e^{4x})
derivative of (5x-1^3(x^2+1)^5)	\frac{d}{dx}((5x-1)^{3}(x^{2}+1)^{5})
tangent of f(x)=8-2x^2,\at x=0	tangent\:f(x)=8-2x^{2},\at\:x=0
integral of xsqrt(2x+5)	\int\:x\sqrt{2x+5}dx
slope of f(x)=25x^{4/5}	slope\:f(x)=25x^{\frac{4}{5}}
sum from n=1 to infinity of (-5)^nx^n	\sum\:_{n=1}^{\infty\:}(-5)^{n}x^{n}
d/(dt)((\sqrt[3]{t})/(t-9))	\frac{d}{dt}(\frac{\sqrt[3]{t}}{t-9})
derivative of arcsin(x^2)	derivative\:\arcsin(x^{2})
derivative of cos(x/2 1/2)	\frac{d}{dx}(\cos(\frac{x}{2})\frac{1}{2})
derivative of 4e^x+4/(\sqrt[3]{x})	\frac{d}{dx}(4e^{x}+\frac{4}{\sqrt[3]{x}})
maclaurin (x^2)/((4+x^2)^2)	maclaurin\:\frac{x^{2}}{(4+x^{2})^{2}}
integral of e^x-1	\int\:e^{x}-1dx
integral of sqrt(x(x+1/x))	\int\:\sqrt{x(x+\frac{1}{x})}dx
tangent of f(x)=41x-16x^2,\at x=1	tangent\:f(x)=41x-16x^{2},\at\:x=1
integral of 1/(1+sin(x)cos(x))	\int\:\frac{1}{1+\sin(x)\cos(x)}dx
maclaurin (1+x)^{-6/5}	maclaurin\:(1+x)^{-\frac{6}{5}}
tangent of y=(1-3x)^{10},(0,1)	tangent\:y=(1-3x)^{10},(0,1)
integral of e^{5-x}	\int\:e^{5-x}dx
integral from 0 to 1 of (2x-1)^6	\int\:_{0}^{1}(2x-1)^{6}dx
integral of 1/((5x-2)^{3/2)}	\int\:\frac{1}{(5x-2)^{\frac{3}{2}}}dx
limit as x approaches 2 of sin(x-2)+1	\lim\:_{x\to\:2}(\sin(x-2)+1)
derivative of (x-1^2(x-2)^3)	\frac{d}{dx}((x-1)^{2}(x-2)^{3})
derivative of (5sqrt(x)+2)(1/x+3x^5)	derivative\:(5\sqrt{x}+2)(\frac{1}{x}+3x^{5})
integral from 0 to 1 of (80)/(x^2-100)	\int\:_{0}^{1}\frac{80}{x^{2}-100}dx
sum from n=0 to infinity of n/(n^2)	\sum\:_{n=0}^{\infty\:}\frac{n}{n^{2}}
f(x)=(2e^{x-1}+(2x-1))/(2x-1)	f(x)=\frac{2e^{x-1}+(2x-1)}{2x-1}
integral of sin^3(θ)cos^2(θ)	\int\:\sin^{3}(θ)\cos^{2}(θ)dθ
integral of 6e^{4x}cos(8x)	\int\:6e^{4x}\cos(8x)dx

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