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Popular Calculus Problems

(\partial)/(\partial y)(4x^2-y^2+2y)	\frac{\partial\:}{\partial\:y}(4x^{2}-y^{2}+2y)
integral of cos(6x)cos(4x)	\int\:\cos(6x)\cos(4x)dx
derivative of sqrt(x)(x-9)^2	derivative\:\sqrt{x}(x-9)^{2}
integral from 2 to 4 of 5x^2	\int\:_{2}^{4}5x^{2}dx
tangent of f(x)=4-x^2,\at x=-4	tangent\:f(x)=4-x^{2},\at\:x=-4
integral of (10)/(sqrt(x))+10sqrt(x)	\int\:\frac{10}{\sqrt{x}}+10\sqrt{x}dx
limit as x approaches-2+of (\|x+2\|)/(x+2)	\lim\:_{x\to\:-2+}(\frac{\left\|x+2\right\|}{x+2})
integral of (x+11)/(x^2+16x+68)	\int\:\frac{x+11}{x^{2}+16x+68}dx
limit as x approaches 1 of x^2+3x	\lim\:_{x\to\:1}(x^{2}+3x)
limit as x approaches 1 of (x^3-x^2-4x+4)/(x^3+6x^2+5x-12)	\lim\:_{x\to\:1}(\frac{x^{3}-x^{2}-4x+4}{x^{3}+6x^{2}+5x-12})
derivative of 2x^2y^3	\frac{d}{dx}(2x^{2}y^{3})
integral of x/2 sqrt(4+x^2)	\int\:\frac{x}{2}\sqrt{4+x^{2}}dx
(\partial)/(\partial x)(4x^3y^2)	\frac{\partial\:}{\partial\:x}(4x^{3}y^{2})
integral of (1-2x^2)	\int\:(1-2x^{2})dx
integral of (6x^2-7x+3)	\int\:(6x^{2}-7x+3)dx
integral of (tan(x/6))^5	\int\:(\tan(\frac{x}{6}))^{5}dx
integral of (ln(x))/((1-ln^2(x))x)	\int\:\frac{\ln(x)}{(1-\ln^{2}(x))x}dx
area y=6x,y=x^2-7	area\:y=6x,y=x^{2}-7
integral of-1/3 e^{-3x}	\int\:-\frac{1}{3}e^{-3x}dx
integral of 1/(sqrt(u^2-16))	\int\:\frac{1}{\sqrt{u^{2}-16}}du
integral of sin(x+3)cos(1-2x)	\int\:\sin(x+3)\cos(1-2x)dx
sum from n=2 to infinity of 7/(10^{n-1)}	\sum\:_{n=2}^{\infty\:}\frac{7}{10^{n-1}}
sum from n=1 to infinity of 5/(3^{-n)}	\sum\:_{n=1}^{\infty\:}\frac{5}{3^{-n}}
derivative of 4/(x^{10})	\frac{d}{dx}(\frac{4}{x^{10}})
derivative of f(x)=e^{2/x}	derivative\:f(x)=e^{\frac{2}{x}}
derivative of y=arctan((4x)/3)	derivative\:y=\arctan(\frac{4x}{3})
integral of 1/(sqrt(16-x^2))	\int\:\frac{1}{\sqrt{16-x^{2}}}dx
inverse oflaplace {(2s-1)/(s^2(s+1)^3)}	inverselaplace\:\left\{\frac{2s-1}{s^{2}(s+1)^{3}}\right\}
limit as x approaches 0 of x/(sin(4)(x))	\lim\:_{x\to\:0}(\frac{x}{\sin(4)(x)})
integral of e^{1/2 t}	\int\:e^{\frac{1}{2}t}dt
derivative of sqrt(7t^7+9)	derivative\:\sqrt{7t^{7}+9}
simplify x^{-m}	simplify\:x^{-m}
integral of 1/(sqrt(6x-x^2))	\int\:\frac{1}{\sqrt{6x-x^{2}}}dx
inverse oflaplace (e^{-pis})/(s^2+4)	inverselaplace\:\frac{e^{-πs}}{s^{2}+4}
derivative of 40(x^2-2x)	\frac{d}{dx}(40(x^{2}-2x))
integral from 2 to 3 of (10)/(sqrt(3-x))	\int\:_{2}^{3}\frac{10}{\sqrt{3-x}}dx
derivative of cos^{-1}(x)	\frac{d}{dx}(\cos^{-1}(x))
inverse oflaplace t^2	inverselaplace\:t^{2}
integral of (x+7)/(sqrt(x))	\int\:\frac{x+7}{\sqrt{x}}dx
area y=x-1,1,2	area\:y=x-1,1,2
derivative of pix^7-2x^5-5x^{-2}	\frac{d}{dx}(πx^{7}-2x^{5}-5x^{-2})
integral of (xsqrt(x+5))	\int\:(x\sqrt{x+5})dx
derivative of (x^2-4)/(sqrt(x))	derivative\:\frac{x^{2}-4}{\sqrt{x}}
derivative of 8sin(x)	derivative\:8\sin(x)
xy^'+2y=4e^x	xy^{\prime\:}+2y=4e^{x}
integral from-1 to 0 of (x-2)	\int\:_{-1}^{0}(x-2)dx
limit as x approaches-infinity of (x+3e^{2x})/(x+e^{2x)}	\lim\:_{x\to\:-\infty\:}(\frac{x+3e^{2x}}{x+e^{2x}})
area x,x=8-1/4 y^2	area\:x,x=8-\frac{1}{4}y^{2}
(\partial)/(\partial x)(x^y)	\frac{\partial\:}{\partial\:x}(x^{y})
integral of-e^{2x}x	\int\:-e^{2x}xdx
(\partial)/(\partial x)(y^6cos(3x))	\frac{\partial\:}{\partial\:x}(y^{6}\cos(3x))
integral of (x^3)/(3(1+x^2))	\int\:\frac{x^{3}}{3(1+x^{2})}dx
tangent of f(x)=3x^2-4x,\at x=-1	tangent\:f(x)=3x^{2}-4x,\at\:x=-1
d/(dy)(x-2y)	\frac{d}{dy}(x-2y)
inverse oflaplace (s+2)/((s+1)^2)	inverselaplace\:\frac{s+2}{(s+1)^{2}}
tangent of f(x)=5x^9x^6,\at x=2	tangent\:f(x)=5x^{9}x^{6},\at\:x=2
y^'=(y^4-3)/(4xy^3)	y^{\prime\:}=\frac{y^{4}-3}{4xy^{3}}
f(x)=x^{3/5}	f(x)=x^{\frac{3}{5}}
derivative of (x^2-a^2)/(x-a)	derivative\:\frac{x^{2}-a^{2}}{x-a}
derivative of y=x^{6x}	derivative\:y=x^{6x}
limit as x approaches 0 of \|x\|^{\|x\|}	\lim\:_{x\to\:0}(\left\|x\right\|^{\left\|x\right\|})
integral of (-x^3+2x^2-x+1)/(x(x^2+1)^2)	\int\:\frac{-x^{3}+2x^{2}-x+1}{x(x^{2}+1)^{2}}dx
integral of (x-7)sin(pix)	\int\:(x-7)\sin(πx)dx
tangent of ((x^3-16x)^{12}),\at x=-4	tangent\:((x^{3}-16x)^{12}),\at\:x=-4
integral of 8sin(2)(x)cos(3)(x)	\int\:8\sin(2)(x)\cos(3)(x)dx
integral from 0 to 1 of ((x+1)^2)/((x^2+1))	\int\:_{0}^{1}\frac{(x+1)^{2}}{(x^{2}+1)}dx
derivative of sin(e^{2x})	derivative\:\sin(e^{2x})
integral of cos^2(x)cot(x)	\int\:\cos^{2}(x)\cot(x)dx
integral of (x^2)/(sqrt(x-1))	\int\:\frac{x^{2}}{\sqrt{x-1}}dx
limit as x approaches-5-of sqrt(3x+15)	\lim\:_{x\to\:-5-}(\sqrt{3x+15})
d/(da)((3a^2)^3)	\frac{d}{da}((3a^{2})^{3})
(x^3+8x^3y^2)dx+e^{x^4}ydy=0	(x^{3}+8x^{3}y^{2})dx+e^{x^{4}}ydy=0
integral of sqrt(a+bx)	\int\:\sqrt{a+bx}dx
limit as x approaches 0 of (1-cos(2x))/x	\lim\:_{x\to\:0}(\frac{1-\cos(2x)}{x})
derivative of x^{9/2}e^x	derivative\:x^{\frac{9}{2}}e^{x}
derivative of sqrt(19x^2+9)	\frac{d}{dx}(\sqrt{19x^{2}+9})
integral of sqrt(x+4)	\int\:\sqrt{x+4}dx
limit as x approaches 1 of tan((pix)/2)	\lim\:_{x\to\:1}(\tan(\frac{πx}{2}))
y^'=((xy))/2	y^{\prime\:}=\frac{(xy)}{2}
limit as x approaches 1+of 1/(x-1)-1/(ln(x))	\lim\:_{x\to\:1+}(\frac{1}{x-1}-\frac{1}{\ln(x)})
integral of ((e^{6x}))/(e^{6x)+1}	\int\:\frac{(e^{6x})}{e^{6x}+1}dx
area y=x,y=2xsqrt(64-x^2)	area\:y=x,y=2x\sqrt{64-x^{2}}
(dy)/(dx)=y^2e^{3x}	\frac{dy}{dx}=y^{2}e^{3x}
(\partial ^2)/(\partial r\partial θ)(r(θ)*cos(θ))	\frac{\partial\:^{2}}{\partial\:r\partial\:θ}(r(θ)\cdot\:\cos(θ))
area x=6y^2,x+y=5	area\:x=6y^{2},x+y=5
(\partial)/(\partial x)(v/(6+uvw))	\frac{\partial\:}{\partial\:x}(\frac{v}{6+uvw})
(dy)/(dt)=(ty)^2	\frac{dy}{dt}=(ty)^{2}
(x^2-2x+1)^'	(x^{2}-2x+1)^{\prime\:}
derivative of (2x+3/(3x-2))	\frac{d}{dx}(\frac{2x+3}{3x-2})
derivative of \sqrt[3]{x^3+1}	derivative\:\sqrt[3]{x^{3}+1}
limit as x approaches-2 of (x+1)^5(5x^2)	\lim\:_{x\to\:-2}((x+1)^{5}(5x^{2}))
integral of 3-2x	\int\:3-2xdx
d/(dθ)(10sin(θ))	\frac{d}{dθ}(10\sin(θ))
derivative of ln((3e^x/(2x^2)))	\frac{d}{dx}(\ln(\frac{3e^{x}}{2x^{2}}))
limit as x approaches infinity of e^{xln(3/5)}	\lim\:_{x\to\:\infty\:}(e^{x\ln(\frac{3}{5})})
integral of (3+x^2)/(1+x^2)	\int\:\frac{3+x^{2}}{1+x^{2}}dx
(\partial)/(\partial y)(sqrt(x+y))	\frac{\partial\:}{\partial\:y}(\sqrt{x+y})
taylor sqrt(x),100	taylor\:\sqrt{x},100
(dy)/(dx)=x+2y,y(0)=7	\frac{dy}{dx}=x+2y,y(0)=7
tangent of f(x)=2-7x^2,\at x=4	tangent\:f(x)=2-7x^{2},\at\:x=4

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