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Popular Calculus Problems

(\partial)/(\partial x)(x-z)	\frac{\partial\:}{\partial\:x}(x-z)
derivative of-x-5	\frac{d}{dx}(-x-5)
derivative of tan(3x-3x)	\frac{d}{dx}(\tan(3x)-3x)
f(θ)=sec(θ)tan(θ)	f(θ)=\sec(θ)\tan(θ)
integral from 1 to 2 of x^2+1	\int\:_{1}^{2}x^{2}+1dx
integral of e^{cx}	\int\:e^{cx}dx
limit as x approaches 0+of 3/x-3/(\|x\|)	\lim\:_{x\to\:0+}(\frac{3}{x}-\frac{3}{\left\|x\right\|})
tangent of y=x^3-3x+2	tangent\:y=x^{3}-3x+2
integral of (sec^4(t))/(tan^3(t))	\int\:\frac{\sec^{4}(t)}{\tan^{3}(t)}dt
derivative of (x^2+3)/(x-1)	derivative\:\frac{x^{2}+3}{x-1}
limit as x approaches 0 of (e^x+3x)^{1/x}	\lim\:_{x\to\:0}((e^{x}+3x)^{\frac{1}{x}})
integral of cos(n)t	\int\:\cos(n)tdt
maclaurin (-3+18x-45x^2)(x+4)	maclaurin\:(-3+18x-45x^{2})(x+4)
integral of (1/(e^x))	\int\:(\frac{1}{e^{x}})dx
(\partial)/(\partial x)((x+y)/(y+1))	\frac{\partial\:}{\partial\:x}(\frac{x+y}{y+1})
limit as x approaches 3 of x+1	\lim\:_{x\to\:3}(x+1)
implicit (dy)/(dx),y^4=x^9	implicit\:\frac{dy}{dx},y^{4}=x^{9}
derivative of e^{x^2+5x}	\frac{d}{dx}(e^{x^{2}+5x})
slope of (-2.1)(-1.7)	slope\:(-2.1)(-1.7)
integral of (x^2)/(x^6+3x^3+2)	\int\:\frac{x^{2}}{x^{6}+3x^{3}+2}dx
area x^2+1,3-x	area\:x^{2}+1,3-x
(\partial)/(\partial x)((e^x)/(y+x^5))	\frac{\partial\:}{\partial\:x}(\frac{e^{x}}{y+x^{5}})
derivative of (x-x^{-1}/(x-x^{-2)})	\frac{d}{dx}(\frac{x-x^{-1}}{x-x^{-2}})
integral of (sin^2(x))/(sin(x)+cos(x))	\int\:\frac{\sin^{2}(x)}{\sin(x)+\cos(x)}dx
limit as t approaches 0 of sin(t)	\lim\:_{t\to\:0}(\sin(t))
derivative of 2x^{5/3}-5x^{4/5}+7x^{3/2}-8x+17	\frac{d}{dx}(2x^{\frac{5}{3}}-5x^{\frac{4}{5}}+7x^{\frac{3}{2}}-8x+17)
integral of arcsin^2(x)	\int\:\arcsin^{2}(x)dx
derivative of f(x)=(x^2)/(x-11)	derivative\:f(x)=\frac{x^{2}}{x-11}
limit as x approaches infinity of (e^{5x})/(9x^4+31x+1)	\lim\:_{x\to\:\infty\:}(\frac{e^{5x}}{9x^{4}+31x+1})
derivative of sec^2(2x+4*2)	\frac{d}{dx}(\sec^{2}(2x+4)\cdot\:2)
derivative of f(x)=(f(x))/(x^7)	derivative\:f(x)=\frac{f(x)}{x^{7}}
derivative of sqrt(5x^3+2x^2+3)	derivative\:\sqrt{5x^{3}+2x^{2}+3}
limit as x approaches infinity of cox(x)	\lim\:_{x\to\:\infty\:}(cox(x))
tangent of f(x)=x^2+x-3,\at x=4	tangent\:f(x)=x^{2}+x-3,\at\:x=4
(\partial)/(\partial s)(-5s^2t)	\frac{\partial\:}{\partial\:s}(-5s^{2}t)
integral of (-x^2y^2sin(x)+2xy^2cos(x))	\int\:(-x^{2}y^{2}\sin(x)+2xy^{2}\cos(x))dx
integral of (e^{1/(x^7)})/(x^8)	\int\:\frac{e^{\frac{1}{x^{7}}}}{x^{8}}dx
derivative of (1-x^2^{3/2})	\frac{d}{dx}((1-x^{2})^{\frac{3}{2}})
derivative of-2x^{-3}*ln(x+x^{-1})	\frac{d}{dx}(-2x^{-3}\cdot\:\ln(x+x^{-1}))
limit as x approaches-9 of (x^2-7)/(9-x)	\lim\:_{x\to\:-9}(\frac{x^{2}-7}{9-x})
(\partial)/(\partial x)(4x^2y^3+7xy^2-7x^2)	\frac{\partial\:}{\partial\:x}(4x^{2}y^{3}+7xy^{2}-7x^{2})
derivative of y=4pi^2	derivative\:y=4π^{2}
integral of (x^2+3x)^{12}(2x+3)	\int\:(x^{2}+3x)^{12}(2x+3)dx
250y^{''}+8y^'+2y=0	250y^{\prime\:\prime\:}+8y^{\prime\:}+2y=0
integral of (e^{1/(x^6)})/(x^7)	\int\:\frac{e^{\frac{1}{x^{6}}}}{x^{7}}dx
derivative of f(x)=((2x+1))/(x+3)	derivative\:f(x)=\frac{(2x+1)}{x+3}
area x=-1,x=2,y=x^3-1,y=0	area\:x=-1,x=2,y=x^{3}-1,y=0
integral of (4x+6)/((x^2+3)(x+1))	\int\:\frac{4x+6}{(x^{2}+3)(x+1)}dx
integral from 0 to 5 of \|2x-6\|	\int\:_{0}^{5}\left\|2x-6\right\|dx
longdivision (x+1)/(x-1)	longdivision\:\frac{x+1}{x-1}
integral of 1/(xnx)	\int\:\frac{1}{xnx}dx
derivative of arcsin(x^7)	derivative\:\arcsin(x^{7})
derivative of e^{3x}-6/(sqrt(x))	\frac{d}{dx}(e^{3x}-\frac{6}{\sqrt{x}})
taylor 2x*e^{2x}	taylor\:2x\cdot\:e^{2x}
integral of t/(1-t^2)	\int\:\frac{t}{1-t^{2}}dt
derivative of 2x^2-4x+4	\frac{d}{dx}(2x^{2}-4x+4)
derivative of-8x^2+500x+140	derivative\:-8x^{2}+500x+140
derivative of (2x+3)/(2x-3)	derivative\:\frac{2x+3}{2x-3}
integral of (2-x)sqrt(4-x^2)	\int\:(2-x)\sqrt{4-x^{2}}dx
integral of (ln(x^2))/(x^2)	\int\:\frac{\ln(x^{2})}{x^{2}}dx
integral from 0 to 2 of 9x^3sqrt(x^2+4)	\int\:_{0}^{2}9x^{3}\sqrt{x^{2}+4}dx
derivative of 2x^2-x-3	derivative\:2x^{2}-x-3
integral of (y^2-b^2)/(y^2)	\int\:\frac{y^{2}-b^{2}}{y^{2}}dy
integral of (e^x)/(1+e^x)	\int\:\frac{e^{x}}{1+e^{x}}dx
limit as x approaches 8 of ((1))/((x-8))	\lim\:_{x\to\:8}(\frac{(1)}{(x-8)})
(\partial)/(\partial y)(arcsin(xy))	\frac{\partial\:}{\partial\:y}(\arcsin(xy))
integral of 1/(x^2-4x+9)	\int\:\frac{1}{x^{2}-4x+9}dx
tangent of f(x)=6x-x^2,\at x=1	tangent\:f(x)=6x-x^{2},\at\:x=1
limit as z approaches 0 of (-1)/z	\lim\:_{z\to\:0}(\frac{-1}{z})
integral of (x^3)/(x^4-7)	\int\:\frac{x^{3}}{x^{4}-7}dx
derivative of \lfloor 3/2 \rfloor	\frac{d}{dx}(\lfloor\:\frac{3}{2}\rfloor\:)
derivative of arccos(7/x)	\frac{d}{dx}(\arccos(\frac{7}{x}))
derivative of y=x4^{x+9}	derivative\:y=x4^{x+9}
limit as x approaches infinity of-2e^{-x}	\lim\:_{x\to\:\infty\:}(-2e^{-x})
integral of 4/(3x^2sqrt(5-7x^2))	\int\:\frac{4}{3x^{2}\sqrt{5-7x^{2}}}dx
derivative of (4x/(3-cot(x)))	\frac{d}{dx}(\frac{4x}{3-\cot(x)})
f(x)=6ln(x)	f(x)=6\ln(x)
integral from 0 to 1 of \sqrt[3]{x}	\int\:_{0}^{1}\sqrt[3]{x}dx
integral of (2x+5)/(3x-1)	\int\:\frac{2x+5}{3x-1}dx
derivative of (1/(3x+1)^4)	\frac{d}{dx}((\frac{1}{3x+1})^{4})
inverse oflaplace 4/(s^2+9)	inverselaplace\:\frac{4}{s^{2}+9}
(dy)/(dx)=1-2y,y(0)=0	\frac{dy}{dx}=1-2y,y(0)=0
integral of 11sin^5(x)	\int\:11\sin^{5}(x)dx
(dy)/(dx)=(((2y+7))/((4x+9)))^2	\frac{dy}{dx}=(\frac{(2y+7)}{(4x+9)})^{2}
integral of (x^2)/(2-x^3)	\int\:\frac{x^{2}}{2-x^{3}}dx
derivative of y=3e^{-x}+e^{4x}	derivative\:y=3e^{-x}+e^{4x}
integral of sqrt(x)x	\int\:\sqrt{x}xdx
integral of sin(x)(x^2+x)	\int\:\sin(x)(x^{2}+x)dx
(\partial)/(\partial x)(xcos(y^2)+yz)	\frac{\partial\:}{\partial\:x}(x\cos(y^{2})+yz)
integral of (x^2+1)/(x^2-3)	\int\:\frac{x^{2}+1}{x^{2}-3}dx
limit as x approaches 0 of 1-x^3	\lim\:_{x\to\:0}(1-x^{3})
integral of x/(x^{2_{-1)}}	\int\:\frac{x}{x^{2_{-1}}}dx
limit as x approaches-1 of x^2e^{-4/x}	\lim\:_{x\to\:-1}(x^{2}e^{-\frac{4}{x}})
limit as x approaches-2 of 1/(x-2)	\lim\:_{x\to\:-2}(\frac{1}{x-2})
tangent of f(x)=tan(x)	tangent\:f(x)=\tan(x)
integral from 0 to 1 of (3x^2+2x+1)	\int\:_{0}^{1}(3x^{2}+2x+1)dx
derivative of 2/(sqrt(1-x))	\frac{d}{dx}(\frac{2}{\sqrt{1-x}})
integral from-infinity to 0 of 1/(3-8x)	\int\:_{-\infty\:}^{0}\frac{1}{3-8x}dx
(\partial)/(\partial x)(tan(x+y))	\frac{\partial\:}{\partial\:x}(\tan(x+y))
integral of ln(r^2)	\int\:\ln(r^{2})dr

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