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Popular Calculus Problems

limit as x approaches 3 of 10	\lim\:_{x\to\:3}(10)
(\partial)/(\partial z)(ln(xyz))	\frac{\partial\:}{\partial\:z}(\ln(xyz))
derivative of sqrt(x^2+a^2)	\frac{d}{dx}(\sqrt{x^{2}+a^{2}})
derivative of 3sqrt(x)+8	derivative\:3\sqrt{x}+8
integral of e^{cos(37t)}sin(37t)	\int\:e^{\cos(37t)}\sin(37t)dt
limit as x approaches-9 of (x+8)/(x+9)	\lim\:_{x\to\:-9}(\frac{x+8}{x+9})
(\partial)/(\partial x)(7y^9+5y^7x^4)	\frac{\partial\:}{\partial\:x}(7y^{9}+5y^{7}x^{4})
derivative of f(x)=a^3+cos^3(x)	derivative\:f(x)=a^{3}+\cos^{3}(x)
integral of sin(2-3x)	\int\:\sin(2-3x)dx
integral of (x^2-24)/(x(x+2)^3)	\int\:\frac{x^{2}-24}{x(x+2)^{3}}dx
(d^2)/(dx^2)(sec^2(x))	\frac{d^{2}}{dx^{2}}(\sec^{2}(x))
derivative of (tan(x)^{tan(x)})	\frac{d}{dx}((\tan(x))^{\tan(x)})
derivative of-sec^2(7x)	derivative\:-\sec^{2}(7x)
integral of 1/(sqrt(x^2+49))	\int\:\frac{1}{\sqrt{x^{2}+49}}dx
integral of (x^2+x)^{10}(2x+1)	\int\:(x^{2}+x)^{10}(2x+1)dx
area y=3sqrt(x),x+y=4,y=1y=0	area\:y=3\sqrt{x},x+y=4,y=1y=0
derivative of 2x^{3/2}+4x^{5/4}	\frac{d}{dx}(2x^{\frac{3}{2}}+4x^{\frac{5}{4}})
derivative of 2xsqrt(25-x^2)	\frac{d}{dx}(2x\sqrt{25-x^{2}})
integral of (x^5e^{x^6})	\int\:(x^{5}e^{x^{6}})dx
integral of x^3-2x+3	\int\:x^{3}-2x+3dx
(\partial)/(\partial x)(9x)	\frac{\partial\:}{\partial\:x}(9x)
limit as x approaches 4 of x^3	\lim\:_{x\to\:4}(x^{3})
limit as x approaches-2 of ((3))/(x+2)	\lim\:_{x\to\:-2}(\frac{(3)}{x+2})
integral of (x^2-15/2 sqrt(x)+x^{-4/3})	\int\:(x^{2}-\frac{15}{2}\sqrt{x}+x^{-\frac{4}{3}})dx
integral of x/(sqrt(2-3x))	\int\:\frac{x}{\sqrt{2-3x}}dx
(dy)/(dx)=(x-10)^2	\frac{dy}{dx}=(x-10)^{2}
derivative of e^x+1	derivative\:e^{x}+1
tangent of f(x)=x^2-1,(5,24)	tangent\:f(x)=x^{2}-1,(5,24)
integral from 0 to pi/2 of (cos^2(x))	\int\:_{0}^{\frac{π}{2}}(\cos^{2}(x))dx
tangent of 2x^2+8x+9	tangent\:2x^{2}+8x+9
limit as x approaches 2+of (x-1)/(x-2)	\lim\:_{x\to\:2+}(\frac{x-1}{x-2})
integral from 1 to t of 15x^{-3}	\int\:_{1}^{t}15x^{-3}dx
derivative of 2e^{3x}+1	\frac{d}{dx}(2e^{3x}+1)
integral of sec(pix)tan(pix)	\int\:\sec(πx)\tan(πx)dx
integral of 8e^{8x-3}	\int\:8e^{8x-3}dx
limit as x approaches 6 of (1/(x-6))^2	\lim\:_{x\to\:6}((\frac{1}{x-6})^{2})
derivative of xsqrt(3)	\frac{d}{dx}(x\sqrt{3})
derivative of y=(sqrt(25-x^2))/(4x)	derivative\:y=\frac{\sqrt{25-x^{2}}}{4x}
xy^2+3y^2-x^2*(dy)/(dx)=0	xy^{2}+3y^{2}-x^{2}\cdot\:\frac{dy}{dx}=0
y^'-y=te^{3t}	y^{\prime\:}-y=te^{3t}
integral of 1/(sqrt(x)+1)	\int\:\frac{1}{\sqrt{x}+1}dx
limit as x approaches-1 of (ln(x))/(x-1)	\lim\:_{x\to\:-1}(\frac{\ln(x)}{x-1})
limit as x approaches-2-of (3x^2)-6x+2	\lim\:_{x\to\:-2-}((3x^{2})-6x+2)
derivative of 4-5x	\frac{d}{dx}(4-5x)
derivative of D(2x^2e^x)	derivative\:D(2x^{2}e^{x})
derivative of cos(1-x)	\frac{d}{dx}(\cos(1-x))
sum from n=1 to infinity of 1/(n(n+3))	\sum\:_{n=1}^{\infty\:}\frac{1}{n(n+3)}
derivative of y=sqrt(x^5)	derivative\:y=\sqrt{x^{5}}
limit as x approaches 3 of (x+2)/(x-2)	\lim\:_{x\to\:3}(\frac{x+2}{x-2})
derivative of cos(pi/3)	\frac{d}{dx}(\cos(\frac{π}{3}))
derivative of x^2+10x+c	derivative\:x^{2}+10x+c
inverse oflaplace 1/(s^3(s+3))	inverselaplace\:\frac{1}{s^{3}(s+3)}
derivative of y=-2x^2-5	derivative\:y=-2x^{2}-5
(\partial)/(\partial m)(mc^2(1/(sqrt(1-\frac{v^2){c^2)}}-1))	\frac{\partial\:}{\partial\:m}(mc^{2}(\frac{1}{\sqrt{1-\frac{v^{2}}{c^{2}}}}-1))
limit as x approaches infinity of (3^x+2^x)/(3^{x+1)+2^{x-1}}	\lim\:_{x\to\:\infty\:}(\frac{3^{x}+2^{x}}{3^{x+1}+2^{x-1}})
integral from 0 to 2 of (x+2)/(x+1)	\int\:_{0}^{2}\frac{x+2}{x+1}dx
integral of 102e^{0.06t}	\int\:102e^{0.06t}dt
integral of 27e^{3x}sin(3x)	\int\:27e^{3x}\sin(3x)dx
tangent of y=35x-16x^2,\at x=1	tangent\:y=35x-16x^{2},\at\:x=1
limit as h approaches 1 of (\|h-2\|-2)/h	\lim\:_{h\to\:1}(\frac{\left\|h-2\right\|-2}{h})
tangent of 8+5x+7xe^x	tangent\:8+5x+7xe^{x}
derivative of xsin(9x)	\frac{d}{dx}(x\sin(9x))
derivative of tan(pi x/3)	\frac{d}{dx}(\tan(π\frac{x}{3}))
integral of 5/(sqrt(x)(1+5\sqrt{x))^2}	\int\:\frac{5}{\sqrt{x}(1+5\sqrt{x})^{2}}dx
derivative of 2.72+0.75x	\frac{d}{dx}(2.72+0.75x)
integral of (e^{3x})/(4+e^{3x)}	\int\:\frac{e^{3x}}{4+e^{3x}}dx
(d^3)/(dx^3)(x(2x-5)^3)	\frac{d^{3}}{dx^{3}}(x(2x-5)^{3})
y^{''}+2y=sin((7t)/5)	y^{\prime\:\prime\:}+2y=\sin(\frac{7t}{5})
integral of 5/244 x^4	\int\:\frac{5}{244}x^{4}dx
integral of cos^2(x)sin(x)	\int\:\cos^{2}(x)\sin(x)dx
integral of (x^2)/((x-3)(x+2)^2)	\int\:\frac{x^{2}}{(x-3)(x+2)^{2}}dx
(\partial)/(\partial x)(x^3-2y^2-2y^4+3x^2y)	\frac{\partial\:}{\partial\:x}(x^{3}-2y^{2}-2y^{4}+3x^{2}y)
limit as x approaches infinity of (e^{1-ln(x)})/(e^{1-ln(x)2)}	\lim\:_{x\to\:\infty\:}(\frac{e^{1-\ln(x)}}{e^{1-\ln(x)2}})
limit as x approaches 2 of f(0)-g(3)	\lim\:_{x\to\:2}(f(0)-g(3))
integral of cos(x)cos(kx)	\int\:\cos(x)\cos(kx)dx
integral of (sin(x))/(1+cos(x))	\int\:\frac{\sin(x)}{1+\cos(x)}dx
inverse oflaplace (s+2)/(s^2(s+3))	inverselaplace\:\frac{s+2}{s^{2}(s+3)}
y^{'''}-4y^{''}+y^'+6y=0	y^{\prime\:\prime\:\prime\:}-4y^{\prime\:\prime\:}+y^{\prime\:}+6y=0
area x^3-10x,6x	area\:x^{3}-10x,6x
inverse oflaplace 0/(s^2+2s+3)	inverselaplace\:\frac{0}{s^{2}+2s+3}
derivative of ln(x+sqrt(x^2+a^2))	derivative\:\ln(x+\sqrt{x^{2}+a^{2}})
limit as x approaches 4 of arcsin(x/4)	\lim\:_{x\to\:4}(\arcsin(\frac{x}{4}))
derivative of (3x+1)^4(5-2x)^3	derivative\:(3x+1)^{4}(5-2x)^{3}
integral of 1/10	\int\:\frac{1}{10}dx
integral of cos(x)csc^{10}(x)	\int\:\cos(x)\csc^{10}(x)dx
(\partial)/(\partial x)(sqrt((x+4)/(x+5)))	\frac{\partial\:}{\partial\:x}(\sqrt{\frac{x+4}{x+5}})
(\partial)/(\partial y)(sin(y/x))	\frac{\partial\:}{\partial\:y}(\sin(\frac{y}{x}))
derivative of 1/(x(x+2))	\frac{d}{dx}(\frac{1}{x(x+2)})
tangent of (3x^2+2x),\at (a=-3)	tangent\:(3x^{2}+2x),\at\:(a=-3)
area y=sqrt(x),y=x-2,[0,4]	area\:y=\sqrt{x},y=x-2,[0,4]
(\partial)/(\partial x)(2x^2+4y^2-3z^2-11)	\frac{\partial\:}{\partial\:x}(2x^{2}+4y^{2}-3z^{2}-11)
integral of (cos(t))	\int\:(\cos(t))dt
integral of (x^4+12x^2+1)/(x^5+20x^3+5x)	\int\:\frac{x^{4}+12x^{2}+1}{x^{5}+20x^{3}+5x}dx
derivative of-9cos(3x)	derivative\:-9\cos(3x)
integral of ((x-1)^2)/2	\int\:\frac{(x-1)^{2}}{2}dx
laplacetransform 1+t	laplacetransform\:1+t
(\partial)/(\partial x)(3x^3+y^3-12xy)	\frac{\partial\:}{\partial\:x}(3x^{3}+y^{3}-12xy)
limit as x approaches-2 of 7x+4	\lim\:_{x\to\:-2}(7x+4)
limit as x approaches 8-of 5/((x-8)^2)	\lim\:_{x\to\:8-}(\frac{5}{(x-8)^{2}})
simplify (qx+r)/(sx+t)	simplify\:\frac{qx+r}{sx+t}

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