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Popular Calculus Problems

derivative of (4x^3+2x+5/x)	\frac{d}{dx}(\frac{4x^{3}+2x+5}{x})
y^'sin(y)=x^4	y^{\prime\:}\sin(y)=x^{4}
limit as x approaches 3 of sqrt(6x-2)	\lim\:_{x\to\:3}(\sqrt{6x-2})
integral of (x+9)/(sqrt(x))	\int\:\frac{x+9}{\sqrt{x}}dx
integral of (5r^2)/(r+7)	\int\:\frac{5r^{2}}{r+7}dr
integral from 1 to 2 of (1/x)^2	\int\:_{1}^{2}(\frac{1}{x})^{2}dx
integral of 1/(9x(ln(7x))^5)	\int\:\frac{1}{9x(\ln(7x))^{5}}dx
xy^'+2y=e^{x^2}	xy^{\prime\:}+2y=e^{x^{2}}
derivative of-2cot(xcsc(x))	\frac{d}{dx}(-2\cot(x)\csc(x))
tangent of 2x^2-5	tangent\:2x^{2}-5
derivative of h(x)=(x-2)(2x+3)	derivative\:h(x)=(x-2)(2x+3)
integral of 3-e^{2x}	\int\:3-e^{2x}dx
derivative of 2ln(2x^3)	\frac{d}{dx}(2\ln(2x^{3}))
tangent of x^2=e^{(x-y)}	tangent\:x^{2}=e^{(x-y)}
f(t)= 1/t	f(t)=\frac{1}{t}
d/(dt)(6sqrt(t))	\frac{d}{dt}(6\sqrt{t})
derivative of v^{3/2}(v+ce^v)	derivative\:v^{\frac{3}{2}}(v+ce^{v})
derivative of (5x-2/(4x+3))	\frac{d}{dx}(\frac{5x-2}{4x+3})
f(x)=arcsec(e^{2x})	f(x)=\arcsec(e^{2x})
y^'+1/2 y=5	y^{\prime\:}+\frac{1}{2}y=5
limit as x approaches 7-of sqrt(x-7)	\lim\:_{x\to\:7-}(\sqrt{x-7})
integral of sin(5x)ln(sin(5x))	\int\:\sin(5x)\ln(\sin(5x))dx
integral of (ln(ln(2x)))/(2x)	\int\:\frac{\ln(\ln(2x))}{2x}dx
integral from 0 to pi/(12) of cos(3x)	\int\:_{0}^{\frac{π}{12}}\cos(3x)dx
derivative of f(x)=sqrt(9x+4)	derivative\:f(x)=\sqrt{9x+4}
area x-6,x^2-12	area\:x-6,x^{2}-12
derivative of 9e^{-3x}	derivative\:9e^{-3x}
integral of x^2sqrt(4+x^3)	\int\:x^{2}\sqrt{4+x^{3}}dx
derivative of 2x^2+4	\frac{d}{dx}(2x^{2}+4)
y^'+5y=3	y^{\prime\:}+5y=3
derivative of (x^4)/4+7/6 x^3-x^2+6x-8	derivative\:\frac{x^{4}}{4}+\frac{7}{6}x^{3}-x^{2}+6x-8
derivative of x*3^{x^2+1}	derivative\:x\cdot\:3^{x^{2}+1}
6(t+1)((dy)/(dt))-5y=5t	6(t+1)(\frac{dy}{dt})-5y=5t
limit as x approaches pi/2 of cos(3x)	\lim\:_{x\to\:\frac{π}{2}}(\cos(3x))
derivative of (1+p^2)(x+e^{-x})-10	derivative\:(1+p^{2})(x+e^{-x})-10
integral of e^xsin^2(e^x)	\int\:e^{x}\sin^{2}(e^{x})dx
area y=x^2,y=x+2,-2,2	area\:y=x^{2},y=x+2,-2,2
limit as x approaches 3+of (x-3)/(\|x-3\|)	\lim\:_{x\to\:3+}(\frac{x-3}{\left\|x-3\right\|})
derivative of \sqrt[3]{(3x^2+6x-2^2})	\frac{d}{dx}(\sqrt[3]{(3x^{2}+6x-2)^{2}})
derivative of f(x)=4x^3(2x^2-3x^3)	derivative\:f(x)=4x^{3}(2x^{2}-3x^{3})
integral of sec^2(x)tan^8(x)	\int\:\sec^{2}(x)\tan^{8}(x)dx
(sqrt(3x+4))^'	(\sqrt{3x+4})^{\prime\:}
integral of 1/(x^4)*x^5e^x	\int\:\frac{1}{x^{4}}\cdot\:x^{5}e^{x}dx
integral of 1/((2-x)^2sqrt(1-x))	\int\:\frac{1}{(2-x)^{2}\sqrt{1-x}}dx
derivative of e^{x^2+6}	\frac{d}{dx}(e^{x^{2}+6})
limit as x approaches 1 of+(x)	\lim\:_{x\to\:1}(+(x))
limit as x approaches-6 of (x+7)/(x+6)	\lim\:_{x\to\:-6}(\frac{x+7}{x+6})
y^'=-(2x+ln(y))(y/x)	y^{\prime\:}=-(2x+\ln(y))(\frac{y}{x})
derivative of (x^3)/3-x^2-15x	derivative\:\frac{x^{3}}{3}-x^{2}-15x
limit as x approaches 0 of 2-6x	\lim\:_{x\to\:0}(2-6x)
derivative of 2e^x+2xe^x	\frac{d}{dx}(2e^{x}+2xe^{x})
inverse oflaplace 1/s e^{-s}	inverselaplace\:\frac{1}{s}e^{-s}
integral of 5x(2x+5)(x-3)	\int\:5x(2x+5)(x-3)dx
t^2y^'+ty=7,y(1)=4	t^{2}y^{\prime\:}+ty=7,y(1)=4
(dy)/(dx)=-(y(1+y))/(x^2(1-y))	\frac{dy}{dx}=-\frac{y(1+y)}{x^{2}(1-y)}
limit as x approaches infinity of 0/1	\lim\:_{x\to\:\infty\:}(\frac{0}{1})
(\partial)/(\partial x)(((9y+7z))/(x+u))	\frac{\partial\:}{\partial\:x}(\frac{(9y+7z)}{x+u})
integral of (3r^2)/(r+5)	\int\:\frac{3r^{2}}{r+5}dr
slope ofintercept (3,5),(1,-7)	slopeintercept\:(3,5),(1,-7)
limit as x approaches 0 of ((2+x^3)-8)/x	\lim\:_{x\to\:0}(\frac{(2+x^{3})-8}{x})
integral from 0 to 2 of (5t)/((t-3)^2)	\int\:_{0}^{2}\frac{5t}{(t-3)^{2}}dt
derivative of ln(-5x)	\frac{d}{dx}(\ln(-5x))
inverse oflaplace (1/3)/s	inverselaplace\:\frac{\frac{1}{3}}{s}
t*(dy)/(dt)=t^3+30t^3y	t\cdot\:\frac{dy}{dt}=t^{3}+30t^{3}y
sum from n=0 to infinity of n!(x-3)^n	\sum\:_{n=0}^{\infty\:}n!(x-3)^{n}
derivative of f(x)=2x^{1/3}+x/3-1/4 x^3	derivative\:f(x)=2x^{\frac{1}{3}}+\frac{x}{3}-\frac{1}{4}x^{3}
integral of-7(-7x)^3	\int\:-7(-7x)^{3}dx
derivative of x^4e^{9x}	\frac{d}{dx}(x^{4}e^{9x})
derivative of 6/(7x^4)	\frac{d}{dx}(\frac{6}{7x^{4}})
integral of (2x^2-3x+2)^{3/2}(x-3/4)	\int\:(2x^{2}-3x+2)^{\frac{3}{2}}(x-\frac{3}{4})dx
(\partial)/(\partial y)((2x-2z)/(3y+2z))	\frac{\partial\:}{\partial\:y}(\frac{2x-2z}{3y+2z})
derivative of y=2x^2-4x+2	derivative\:y=2x^{2}-4x+2
integral of ((ln(x))^{25})/x	\int\:\frac{(\ln(x))^{25}}{x}dx
integral from 1 to 2 of w^5e^{w^3}	\int\:_{1}^{2}w^{5}e^{w^{3}}dw
(dy)/(dx)-e^{2x}=3,y(0)=4	\frac{dy}{dx}-e^{2x}=3,y(0)=4
limit as x approaches-2 of (x^2)/(x^2+2)	\lim\:_{x\to\:-2}(\frac{x^{2}}{x^{2}+2})
tangent of y= 1/(x^6),(-3, 1/729)	tangent\:y=\frac{1}{x^{6}},(-3,\frac{1}{729})
integral of xe^{-9x^2}	\int\:xe^{-9x^{2}}dx
y^'+e^{x+y}=0	y^{\prime\:}+e^{x+y}=0
limit as t approaches 0 of sin(8t)	\lim\:_{t\to\:0}(\sin(8t))
(xydy)/(dx)+y^2=2x	\frac{xydy}{dx}+y^{2}=2x
derivative of sin(e^{4x})	derivative\:\sin(e^{4x})
derivative of (1-xe^x/(x+e^x))	\frac{d}{dx}(\frac{1-xe^{x}}{x+e^{x}})
area y=e^x,y=x,x=0,x=2	area\:y=e^{x},y=x,x=0,x=2
integral of ((x^2+1))/((x-5)(x-4)^2)	\int\:\frac{(x^{2}+1)}{(x-5)(x-4)^{2}}dx
derivative of-1/(2(1+x^{3/2)})	\frac{d}{dx}(-\frac{1}{2(1+x)^{\frac{3}{2}}})
integral from 1/4 to 7 of 9/(\sqrt[3]{4x-1)}	\int\:_{\frac{1}{4}}^{7}\frac{9}{\sqrt[3]{4x-1}}dx
derivative of f(x)=-6/((1+3x)^2)	derivative\:f(x)=-\frac{6}{(1+3x)^{2}}
derivative of ln(((2)/(3-x^2)))	\frac{d}{dx}(\ln(\frac{(2)}{3-x^{2}}))
derivative of 3/(t^3)	derivative\:\frac{3}{t^{3}}
sum from n=0 to infinity}(x^{2n of)/(n!)	\sum\:_{n=0}^{\infty\:}\frac{x^{2n}}{n!}
derivative of (e^x/(xcos(x)))	\frac{d}{dx}(\frac{e^{x}}{x\cos(x)})
((2y)/x+2x)+(2ln(x)-3)(dy)/(dx)=0	(\frac{2y}{x}+2x)+(2\ln(x)-3)\frac{dy}{dx}=0
derivative of-x^2+8x-12	\frac{d}{dx}(-x^{2}+8x-12)
derivative of sqrt(2x-5)	\frac{d}{dx}(\sqrt{2x-5})
tangent of y=x^3-3x+5,(3,23)	tangent\:y=x^{3}-3x+5,(3,23)
tangent of f(x)= x/(x^2+1),\at x=0	tangent\:f(x)=\frac{x}{x^{2}+1},\at\:x=0
integral of 1/(1-v)	\int\:\frac{1}{1-v}dv
inverse oflaplace 1/(s(s+1/15))	inverselaplace\:\frac{1}{s(s+\frac{1}{15})}
sum from n=1 to infinity of ((e^n))/(n!)	\sum\:_{n=1}^{\infty\:}\frac{(e^{n})}{n!}

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