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Popular Calculus Problems

normal of y=es(s^3+10),(0,10)	normal\:y=es(s^{3}+10),(0,10)
limit as x approaches infinity of 1+e^x	\lim\:_{x\to\:\infty\:}(1+e^{x})
limit as x approaches 2 of ((x-2))/((sqrt(x-1)-\sqrt{3-x))}	\lim\:_{x\to\:2}(\frac{(x-2)}{(\sqrt{x-1}-\sqrt{3-x})})
tangent of f(x)=x-x^3,\at x=1	tangent\:f(x)=x-x^{3},\at\:x=1
derivative of 5xy	derivative\:5xy
integral from 0 to pi/2 of cos^2(x)	\int\:_{0}^{\frac{π}{2}}\cos^{2}(x)dx
factor cos(f(x)-2)	factor\:\cos(f(x)-2)
derivative of 1/(t^3)	derivative\:\frac{1}{t^{3}}
derivative of sqrt(11)	derivative\:\sqrt{11}
integral of insec(x)tan(x)	\int\:in\sec(x)\tan(x)dx
derivative of b/((1-(y/x)))	derivative\:\frac{b}{(1-(\frac{y}{x}))}
integral of 7sin(2)(x)cos(3)(x)	\int\:7\sin(2)(x)\cos(3)(x)dx
limit as x approaches 3+of (x^2-9)/(x-3)	\lim\:_{x\to\:3+}(\frac{x^{2}-9}{x-3})
derivative of (sqrt(x))/(5+x)	derivative\:\frac{\sqrt{x}}{5+x}
derivative of sqrt(5)sin(x)	\frac{d}{dx}(\sqrt{5}\sin(x))
inverse oflaplace (2s+1)/(s^2+1)	inverselaplace\:\frac{2s+1}{s^{2}+1}
derivative of ln((4+e^x/(4-e^x)))	\frac{d}{dx}(\ln(\frac{4+e^{x}}{4-e^{x}}))
integral of ((x^3)/3)(1/x)	\int\:(\frac{x^{3}}{3})(\frac{1}{x})dx
(dy)/(dx)= y/x+8x+1	\frac{dy}{dx}=\frac{y}{x}+8x+1
integral of 1/((x-43)^{0.98)}	\int\:\frac{1}{(x-43)^{0.98}}dx
integral of cos(7x-1)	\int\:\cos(7x-1)dx
derivative of (2x+3(x^2-5))	\frac{d}{dx}((2x+3)(x^{2}-5))
(\partial)/(\partial x)(yze^{xz})	\frac{\partial\:}{\partial\:x}(yze^{xz})
y^{'''}+y^{''}+8y^'-10y=0	y^{\prime\:\prime\:\prime\:}+y^{\prime\:\prime\:}+8y^{\prime\:}-10y=0
(\partial)/(\partial x)(1/((x-2)^2))	\frac{\partial\:}{\partial\:x}(\frac{1}{(x-2)^{2}})
integral of cot(x/3)	\int\:\cot(\frac{x}{3})dx
integral of (6x^2-5)/x	\int\:\frac{6x^{2}-5}{x}dx
integral of rcos(r^2)	\int\:r\cos(r^{2})dr
integral of (4x^3+2x)	\int\:(4x^{3}+2x)dx
(\partial)/(\partial x)(xye^{3y})	\frac{\partial\:}{\partial\:x}(xye^{3y})
derivative of 10x^{1/5}	\frac{d}{dx}(10x^{\frac{1}{5}})
integral of 1/(25-36x^2)	\int\:\frac{1}{25-36x^{2}}dx
ty^'+ty=1-y,y(1)=0	ty^{\prime\:}+ty=1-y,y(1)=0
integral of 1/(x-1)	\int\:\frac{1}{x-1}dx
derivative of (x^3-5x)(4x^2-3x)	derivative\:(x^{3}-5x)(4x^{2}-3x)
derivative of (2-3x/(7-x))	\frac{d}{dx}(\frac{2-3x}{7-x})
(dy)/(dx)=42yx^6	\frac{dy}{dx}=42yx^{6}
integral from 0 to 1 of (2x+y)^8	\int\:_{0}^{1}(2x+y)^{8}dx
(x-4)y^'+y=x^2+8	(x-4)y^{\prime\:}+y=x^{2}+8
derivative of sqrt(3x^3)	derivative\:\sqrt{3x^{3}}
d/(dy)(ln(y))	\frac{d}{dy}(\ln(y))
integral of xsin(x^2+4)	\int\:x\sin(x^{2}+4)dx
x(dy)/(dx)-2y=6x^5	x\frac{dy}{dx}-2y=6x^{5}
y^{''}+6y^'+9y=18t^2+24t+4	y^{\prime\:\prime\:}+6y^{\prime\:}+9y=18t^{2}+24t+4
integral from 1 to 6 of ln(x)	\int\:_{1}^{6}\ln(x)dx
y^{''}+3y^'+2y=7cos(x)-sin(x)	y^{\prime\:\prime\:}+3y^{\prime\:}+2y=7\cos(x)-\sin(x)
integral of (6x+5)/((9x^2+15x)^5)	\int\:\frac{6x+5}{(9x^{2}+15x)^{5}}dx
xy^'+2y=2cos(x)	xy^{\prime\:}+2y=2\cos(x)
derivative of (x^2-9x+1)/(x^2+5)	derivative\:\frac{x^{2}-9x+1}{x^{2}+5}
derivative of 5sin^2(t)	derivative\:5\sin^{2}(t)
derivative of 4xsin(x^2)	\frac{d}{dx}(4x\sin(x^{2}))
derivative of (2-x/(sqrt(1-y)))	\frac{d}{dx}(\frac{2-x}{\sqrt{1-y}})
integral of 1/4 sin(4x)	\int\:\frac{1}{4}\sin(4x)dx
slope of (-3,3),(4,-5)	slope\:(-3,3),(4,-5)
limit as x approaches-4 of (x+3)^2	\lim\:_{x\to\:-4}((x+3)^{2})
integral of x/(sqrt(x^2+x+1))	\int\:\frac{x}{\sqrt{x^{2}+x+1}}dx
derivative of-e^{3x}	\frac{d}{dx}(-e^{3x})
derivative of ((6x^2+2x+6))/(sqrt(x))	derivative\:\frac{(6x^{2}+2x+6)}{\sqrt{x}}
derivative of y=7arctan(x+sqrt(1+x^2))	derivative\:y=7\arctan(x+\sqrt{1+x^{2}})
area y=5x,y= 5/2 x,y=84-x^2	area\:y=5x,y=\frac{5}{2}x,y=84-x^{2}
derivative of 1/(\sqrt[6]{x})	\frac{d}{dx}(\frac{1}{\sqrt[6]{x}})
limit as x approaches 8 of ln(x-8)	\lim\:_{x\to\:8}(\ln(x-8))
simplify e^{xy}	simplify\:e^{xy}
derivative of arctan(x+2y)	\frac{d}{dx}(\arctan(x+2y))
integral of sin(3x)*sin(5x)	\int\:\sin(3x)\cdot\:\sin(5x)dx
limit as x approaches 0 of-2/x	\lim\:_{x\to\:0}(-\frac{2}{x})
derivative of 1/(5x-1)	\frac{d}{dx}(\frac{1}{5x-1})
derivative of arcsin(x^4)	derivative\:\arcsin(x^{4})
derivative of f(x)= 7/x	derivative\:f(x)=\frac{7}{x}
limit as x approaches infinity of ((x-3)/(x-4))^{-x}	\lim\:_{x\to\:\infty\:}((\frac{x-3}{x-4})^{-x})
derivative of ln(sinh(5x))	\frac{d}{dx}(\ln(\sinh(5x)))
derivative of y=(3x-2x^2)^3	derivative\:y=(3x-2x^{2})^{3}
maclaurin ln(2-3x)	maclaurin\:\ln(2-3x)
(dy}{dx}=\frac{xsec(y/x)+y)/x	\frac{dy}{dx}=\frac{x\sec(\frac{y}{x})+y}{x}
integral of (x^2+3)^32x	\int\:(x^{2}+3)^{3}2xdx
(\partial)/(\partial x)(x^5y^5)	\frac{\partial\:}{\partial\:x}(x^{5}y^{5})
integral of (v+3)/(v-1)	\int\:\frac{v+3}{v-1}dv
derivative of 3(5-x^2)	\frac{d}{dx}(3(5-x)^{2})
(dx)/(dt)=(2x^2+tsqrt(7t^2+x^2))/(2tx)	\frac{dx}{dt}=\frac{2x^{2}+t\sqrt{7t^{2}+x^{2}}}{2tx}
7t*(dy)/(dt)+y=sqrt(t)	7t\cdot\:\frac{dy}{dt}+y=\sqrt{t}
area 3-x^2,6-4x	area\:3-x^{2},6-4x
integral of (1+x)(x-2)^7	\int\:(1+x)(x-2)^{7}dx
derivative of 5\sqrt[5]{x^2}-4/x+sqrt(2)	\frac{d}{dx}(5\sqrt[5]{x^{2}}-\frac{4}{x}+\sqrt{2})
inverse oflaplace (24)/(s^4)	inverselaplace\:\frac{24}{s^{4}}
(\partial)/(\partial x)(3-x^2+xy-3y^2)	\frac{\partial\:}{\partial\:x}(3-x^{2}+xy-3y^{2})
(\partial)/(\partial y)(sqrt(2x^2-4y^3))	\frac{\partial\:}{\partial\:y}(\sqrt{2x^{2}-4y^{3}})
tangent of y= 9/(x^2+2),(1,3)	tangent\:y=\frac{9}{x^{2}+2},(1,3)
d/(dy)(ln(((5y+1)^2)/(sqrt(y^2+1))))	\frac{d}{dy}(\ln(\frac{(5y+1)^{2}}{\sqrt{y^{2}+1}}))
derivative of ln(4x^3+x)	derivative\:\ln(4x^{3}+x)
integral of 5sqrt(5x)	\int\:5\sqrt{5x}dx
(\partial}{\partial x}(\frac{sin(t))/t)	\frac{\partial\:}{\partial\:x}(\frac{\sin(t)}{t})
tangent of-0.025x^2+9x	tangent\:-0.025x^{2}+9x
integral of e^{cos(x)}*sin(x)	\int\:e^{\cos(x)}\cdot\:\sin(x)dx
limit as x approaches-1 of x-1/(ln\|x\|)	\lim\:_{x\to\:-1}(x-\frac{1}{\ln\left\|x\right\|})
(dy)/(dx)-2y=x^2e^{2x}	\frac{dy}{dx}-2y=x^{2}e^{2x}
derivative of f(x)=4sin^2(5x+3)	derivative\:f(x)=4\sin^{2}(5x+3)
integral from 3 to 8 of x/(x^2+6x+13)	\int\:_{3}^{8}\frac{x}{x^{2}+6x+13}dx
(12y^2t^2+10y)dy+(8y^3t)dt=0	(12y^{2}t^{2}+10y)dy+(8y^{3}t)dt=0
derivative of f(x)=sqrt(11x)	derivative\:f(x)=\sqrt{11x}
y^{''}-2y^'+5y=e^xcos(2x)	y^{\prime\:\prime\:}-2y^{\prime\:}+5y=e^{x}\cos(2x)

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