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Popular Calculus Problems

(\partial)/(\partial u)(usin(v))	\frac{\partial\:}{\partial\:u}(u\sin(v))
integral of 1/((2+x^2)^{3/2)}	\int\:\frac{1}{(2+x^{2})^{\frac{3}{2}}}dx
derivative of 1+sqrt(4-x)	\frac{d}{dx}(1+\sqrt{4-x})
derivative of csc(3x)	derivative\:\csc(3x)
limit as n approaches infinity+of 2/n	\lim\:_{n\to\:\infty\:+}(\frac{2}{n})
limit as x approaches-1 of 1/((x+1))	\lim\:_{x\to\:-1}(\frac{1}{(x+1)})
y^'=(y^2+yx+x^2)/(x^2),y(1)=-1	y^{\prime\:}=\frac{y^{2}+yx+x^{2}}{x^{2}},y(1)=-1
derivative of e^{-3x}sin(2x)	\frac{d}{dx}(e^{-3x}\sin(2x))
derivative of 10^{8-x^2}	derivative\:10^{8-x^{2}}
(\partial)/(\partial x)((x)(2xy))	\frac{\partial\:}{\partial\:x}((x)(2xy))
(dy)/(dx)=(7x)/(4y)	\frac{dy}{dx}=\frac{7x}{4y}
integral of 3/(cos^2(x))	\int\:\frac{3}{\cos^{2}(x)}dx
(\partial}{\partial s}(\frac{3r+s)/t)	\frac{\partial\:}{\partial\:s}(\frac{3r+s}{t})
(d^2y)/(dx^2)+4(dy)/(dx)+5y=0	\frac{d^{2}y}{dx^{2}}+4\frac{dy}{dx}+5y=0
integral from 0 to 2pi of \|cos(x)\|	\int\:_{0}^{2π}\left\|\cos(x)\right\|dx
integral of 11ln(x^2-x+4)	\int\:11\ln(x^{2}-x+4)dx
integral of ((Inx)^2)/x	\int\:\frac{(Inx)^{2}}{x}dx
integral from 0 to 2pi of (2-2r^2)r	\int\:_{0}^{2π}(2-2r^{2})rdr
integral from 1 to 2 of 24x^22^{x^3}	\int\:_{1}^{2}24x^{2}2^{x^{3}}dx
integral of 6^{x-2}	\int\:6^{x-2}dx
derivative of 12cos(2x)	\frac{d}{dx}(12\cos(2x))
inverse oflaplace 3/s+8/(s(s+1))	inverselaplace\:\frac{3}{s}+\frac{8}{s(s+1)}
derivative of 7x+5	\frac{d}{dx}(7x+5)
tangent of (x^{0.5}+4)(x^2+x)	tangent\:(x^{0.5}+4)(x^{2}+x)
integral of (x^3)/(\sqrt[3]{x^2+9)}	\int\:\frac{x^{3}}{\sqrt[3]{x^{2}+9}}dx
integral of (1+sqrt(x))^{14}	\int\:(1+\sqrt{x})^{14}dx
derivative of sqrt(sin(\sqrt{1+x^2)})	\frac{d}{dx}(\sqrt{\sin(\sqrt{1+x^{2}})})
derivative of x^3+6x^2-15x	\frac{d}{dx}(x^{3}+6x^{2}-15x)
integral of (4(x-6))/((x^2-2x+2)^2)	\int\:\frac{4(x-6)}{(x^{2}-2x+2)^{2}}dx
integral of 2e^{-2x}(x^2-2x+1)	\int\:2e^{-2x}(x^{2}-2x+1)dx
sum from n=0 to infinity of (2^nz^n)/n	\sum\:_{n=0}^{\infty\:}\frac{2^{n}z^{n}}{n}
derivative of x^4e^{8x}	\frac{d}{dx}(x^{4}e^{8x})
derivative of In(x^2+1)	\frac{d}{dx}(In(x^{2}+1))
(\partial)/(\partial z)(2xz^2)	\frac{\partial\:}{\partial\:z}(2xz^{2})
limit as x approaches infinity of x^a	\lim\:_{x\to\:\infty\:}(x^{a})
tangent of y=2x-2x^2,\at x=-1.5	tangent\:y=2x-2x^{2},\at\:x=-1.5
tangent of y=(x+1)^{x^2},(0,1)	tangent\:y=(x+1)^{x^{2}},(0,1)
integral of 3/(3x+2)	\int\:\frac{3}{3x+2}dx
integral from 1 to 2 of (x^3)	\int\:_{1}^{2}(x^{3})dx
derivative of 7-(1.01^{-x^2})	\frac{d}{dx}(7-(1.01)^{-x^{2}})
tangent of f(x)=x^2+1,(-5,26)	tangent\:f(x)=x^{2}+1,(-5,26)
(\partial)/(\partial x)(3x^2-6x-9)	\frac{\partial\:}{\partial\:x}(3x^{2}-6x-9)
integral of 1/(sqrt(4x+1))	\int\:\frac{1}{\sqrt{4x+1}}dx
derivative of (ln(sin^x(x))/x)	\frac{d}{dx}(\frac{\ln(\sin^{x}(x))}{x})
derivative of sin(7x)	derivative\:\sin(7x)
area x^3-2x^2+4,3x^2+5x-21	area\:x^{3}-2x^{2}+4,3x^{2}+5x-21
integral from 0 to 60 of 100e^{-0.01x}	\int\:_{0}^{60}100e^{-0.01x}dx
derivative of y=xe^{9x}	derivative\:y=xe^{9x}
derivative of 1/3 (x^2-2)^{3/2}	derivative\:\frac{1}{3}(x^{2}-2)^{\frac{3}{2}}
integral of ((x^2-x+36))/(x^3+6x)	\int\:\frac{(x^{2}-x+36)}{x^{3}+6x}dx
tangent of y=2sin(x),(pi/6 ,1)	tangent\:y=2\sin(x),(\frac{π}{6},1)
limit as x approaches 2+of (x^2)/(x^2-4)	\lim\:_{x\to\:2+}(\frac{x^{2}}{x^{2}-4})
derivative of 1-(1-0.01x)^3	derivative\:1-(1-0.01x)^{3}
integral from 0 to 1 of 11xsqrt(x^2+16)	\int\:_{0}^{1}11x\sqrt{x^{2}+16}dx
area x= 1/2 y^2-3,x=y+1	area\:x=\frac{1}{2}y^{2}-3,x=y+1
derivative of f(x)=sqrt(x+6)	derivative\:f(x)=\sqrt{x+6}
sum from n=1 to infinity of n^{3/4}	\sum\:_{n=1}^{\infty\:}n^{\frac{3}{4}}
derivative of 4x^3arcsec(x)	\frac{d}{dx}(4x^{3}\arcsec(x))
integral of 90x^2sin(2+6x^3)	\int\:90x^{2}\sin(2+6x^{3})dx
sqrt(1-y^2)dx-sqrt(1-x^2)dy=0	\sqrt{1-y^{2}}dx-\sqrt{1-x^{2}}dy=0
f(x)=cos(x/3)	f(x)=\cos(\frac{x}{3})
derivative of f(x)=x^7+10	derivative\:f(x)=x^{7}+10
taylor ln(x)5	taylor\:\ln(x)5
sum from n=1 to infinity of n/(7^n)	\sum\:_{n=1}^{\infty\:}\frac{n}{7^{n}}
limit as x approaches 0 of ((ln(1+x)))/x	\lim\:_{x\to\:0}(\frac{(\ln(1+x))}{x})
integral of (3x-2)^4	\int\:(3x-2)^{4}dx
taylor x^2,0	taylor\:x^{2},0
derivative of f(x)=((1-4x))/(1+4x)	derivative\:f(x)=\frac{(1-4x)}{1+4x}
t(dy)/(dt)=4y	t\frac{dy}{dt}=4y
sum from n=0 to infinity of (e/(8pi))^n	\sum\:_{n=0}^{\infty\:}(\frac{e}{8π})^{n}
integral of (ln(2x))/(xln(x))	\int\:\frac{\ln(2x)}{x\ln(x)}dx
limit as x approaches 1 of (1-x^2)/(x-1)	\lim\:_{x\to\:1}(\frac{1-x^{2}}{x-1})
tangent of y= 2/(x-8)(10.1)	tangent\:y=\frac{2}{x-8}(10.1)
sum from n=1 to infinity of 1/(n^{1/3)}	\sum\:_{n=1}^{\infty\:}\frac{1}{n^{\frac{1}{3}}}
integral of 3/(\sqrt[5]{x^2)}	\int\:\frac{3}{\sqrt[5]{x^{2}}}dx
derivative of sqrt(x)-7\sqrt[3]{x}	\frac{d}{dx}(\sqrt{x}-7\sqrt[3]{x})
inverse oflaplace (3(1-4x))/(58(x^2+9))	inverselaplace\:\frac{3(1-4x)}{58(x^{2}+9)}
derivative of sin(ln(cos(t)))	derivative\:\sin(\ln(\cos(t)))
integral of x^2sqrt(6x+6)	\int\:x^{2}\sqrt{6x+6}dx
tangent of f(x)=x^3+x+5,\at x=-2	tangent\:f(x)=x^{3}+x+5,\at\:x=-2
(2x^3-x^2y)+(2x^2y-x^3)y^'=0	(2x^{3}-x^{2}y)+(2x^{2}y-x^{3})y^{\prime\:}=0
derivative of arctan((x+y/(1-xy)))	\frac{d}{dx}(\arctan(\frac{x+y}{1-xy}))
derivative of 4x-4	\frac{d}{dx}(4x-4)
(\partial)/(\partial y)(3x^2(5x+7y))	\frac{\partial\:}{\partial\:y}(3x^{2}(5x+7y))
derivative of f(x)=x^3-6x^2+9x	derivative\:f(x)=x^{3}-6x^{2}+9x
limit as x approaches pi/4 of tan(2x)	\lim\:_{x\to\:\frac{π}{4}}(\tan(2x))
integral of (7x+3)/(sqrt(x))	\int\:\frac{7x+3}{\sqrt{x}}dx
limit as x approaches infinity of x^4	\lim\:_{x\to\:\infty\:}(x^{4})
laplacetransform cos(kt)	laplacetransform\:\cos(kt)
(dx)/(dt)+x=3	\frac{dx}{dt}+x=3
integral of 1/(2x)+6/(x^3)-7sqrt(x)	\int\:\frac{1}{2x}+\frac{6}{x^{3}}-7\sqrt{x}dx
(\partial)/(\partial x)(sqrt(6-2x))	\frac{\partial\:}{\partial\:x}(\sqrt{6-2x})
derivative of (x^2^2)	\frac{d}{dx}((x^{2})^{2})
area y=\sqrt[3]{x},y= 1/x ,x=8,x=1	area\:y=\sqrt[3]{x},y=\frac{1}{x},x=8,x=1
integral of sin^7(x)cos^4(x)	\int\:\sin^{7}(x)\cos^{4}(x)dx
integral of-Be^{-2t}	\int\:-Be^{-2t}dt
tangent of x^4-2x^2+3	tangent\:x^{4}-2x^{2}+3
limit as x approaches 7 of-7	\lim\:_{x\to\:7}(-7)
(\partial)/(\partial z)(e^{7yz})	\frac{\partial\:}{\partial\:z}(e^{7yz})
derivative of x^3-3x^2+4x-1	\frac{d}{dx}(x^{3}-3x^{2}+4x-1)

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