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Popular Calculus Problems

tangent of x^2+3,\at (x=1)	tangent\:x^{2}+3,\at\:(x=1)
inverse oflaplace (s^2-1)/(s^4+3s^2+2)	inverselaplace\:\frac{s^{2}-1}{s^{4}+3s^{2}+2}
integral of 1/(2x^2+2)	\int\:\frac{1}{2x^{2}+2}dx
derivative of-t	derivative\:-t
(\partial)/(\partial x)(-2st)	\frac{\partial\:}{\partial\:x}(-2st)
limit as x approaches 0+of x/(cos(4x)-1)	\lim\:_{x\to\:0+}(\frac{x}{\cos(4x)-1})
integral of 1/(sqrt(2x-x^2))	\int\:\frac{1}{\sqrt{2x-x^{2}}}dx
tangent of 1/(x+2)	tangent\:\frac{1}{x+2}
integral from 0 to pi/3 of sec(x)	\int\:_{0}^{\frac{π}{3}}\sec(x)dx
integral of x/(5x+1)	\int\:\frac{x}{5x+1}dx
derivative of sqrt(2x+7)	derivative\:\sqrt{2x+7}
(2xy^2-5)dx+(2x^2y+4)dy=0	(2xy^{2}-5)dx+(2x^{2}y+4)dy=0
limit as x approaches 1 of x^4-1	\lim\:_{x\to\:1}(x^{4}-1)
derivative of g(x)=sqrt(3-x)	derivative\:g(x)=\sqrt{3-x}
(\partial)/(\partial x)(4x+16y)	\frac{\partial\:}{\partial\:x}(4x+16y)
derivative of 7e^{-x}+e^{3x}	derivative\:7e^{-x}+e^{3x}
x^{''}+3x^'=3e^{(-3t)}	x^{\prime\:\prime\:}+3x^{\prime\:}=3e^{(-3t)}
(\partial)/(\partial x)((xy)/(sqrt(xy+4)))	\frac{\partial\:}{\partial\:x}(\frac{xy}{\sqrt{xy+4}})
inverse oflaplace (3se^{-3s})/(4s^2+64)	inverselaplace\:\frac{3se^{-3s}}{4s^{2}+64}
derivative of x^{4/3}-x^{1/3}	\frac{d}{dx}(x^{\frac{4}{3}}-x^{\frac{1}{3}})
derivative of f(x)=(7-x)(5/(x^2)-8)	derivative\:f(x)=(7-x)(\frac{5}{x^{2}}-8)
implicit (dy)/(dx),y=x^2+1	implicit\:\frac{dy}{dx},y=x^{2}+1
integral of e^{6θ}sin(7θ)	\int\:e^{6θ}\sin(7θ)dθ
limit as x approaches infinity of (3)^x	\lim\:_{x\to\:\infty\:}((3)^{x})
sum from n=1 to infinity of n/((n+2))	\sum\:_{n=1}^{\infty\:}\frac{n}{(n+2)}
laplacetransform-5t^2\delta(t-1)	laplacetransform\:-5t^{2}\delta(t-1)
derivative of 4sin^3(xcos(x))	\frac{d}{dx}(4\sin^{3}(x)\cos(x))
derivative of (9x^2-15xe^x)	\frac{d}{dx}((9x^{2}-15x)e^{x})
derivative of (xe^x^pi)	\frac{d}{dx}((xe^{x})^{π})
integral of (e^x)/(3+e^x)	\int\:\frac{e^{x}}{3+e^{x}}dx
integral of ln(13t)	\int\:\ln(13t)dt
integral of r^2(r^3-2)^2	\int\:r^{2}(r^{3}-2)^{2}dr
\H(-5)=2^x	\H(-5)=2^{x}
derivative of ((x+1)/(sqrt(x)))	\frac{d}{dx}(\frac{(x+1)}{\sqrt{x}})
derivative of 3500(1-1/50 x^2)	\frac{d}{dx}(3500(1-\frac{1}{50}x)^{2})
integral of (5x+3)	\int\:(5x+3)dx
yln(x)(xdy+ydx)=(xyln(x)-y)dy	y\ln(x)(xdy+ydx)=(xy\ln(x)-y)dy
integral of (2x-1)e^{-x}	\int\:(2x-1)e^{-x}dx
tangent of f(x)=(6x-2)^{1/3},\at x=1	tangent\:f(x)=(6x-2)^{\frac{1}{3}},\at\:x=1
y^'-t^2y=0	y^{\prime\:}-t^{2}y=0
integral of 1/(x(x-4)^2)	\int\:\frac{1}{x(x-4)^{2}}dx
derivative of 4sin(xcos(x)+4sin(x))	\frac{d}{dx}(4\sin(x)\cos(x)+4\sin(x))
integral of 1/((a+by)^3)	\int\:\frac{1}{(a+by)^{3}}dy
integral of y/(sqrt(4-y^2))	\int\:\frac{y}{\sqrt{4-y^{2}}}dy
(\partial)/(\partial z)(5x^2-3xy+xyz)	\frac{\partial\:}{\partial\:z}(5x^{2}-3xy+xyz)
(\partial)/(\partial t)(ln(3x+3ct))	\frac{\partial\:}{\partial\:t}(\ln(3x+3ct))
limit as x approaches 0 of 1/x-1/(e^x)	\lim\:_{x\to\:0}(\frac{1}{x}-\frac{1}{e^{x}})
inverse oflaplace 1/((s^2+1)(s^2+16))	inverselaplace\:\frac{1}{(s^{2}+1)(s^{2}+16)}
limit as x approaches 2 of x^2-4x+5	\lim\:_{x\to\:2}(x^{2}-4x+5)
derivative of-(2x/((x^2-1)^2))	\frac{d}{dx}(-\frac{2x}{(x^{2}-1)^{2}})
integral of 21x^3e^x	\int\:21x^{3}e^{x}dx
(\partial)/(\partial x)(3z^3cot(xz))	\frac{\partial\:}{\partial\:x}(3z^{3}\cot(xz))
(\partial)/(\partial x)(3x+xy+x^2y-2y)	\frac{\partial\:}{\partial\:x}(3x+xy+x^{2}y-2y)
derivative of f(x)=(\sqrt[3]{x})/(x-9)	derivative\:f(x)=\frac{\sqrt[3]{x}}{x-9}
(\partial)/(\partial x)(1/(\|x\|))	\frac{\partial\:}{\partial\:x}(\frac{1}{\left\|x\right\|})
integral from 0 to 2 of 2x+5	\int\:_{0}^{2}2x+5dx
derivative of 40x(5x^2-8)	\frac{d}{dx}(40x(5x^{2}-8))
(\partial)/(\partial y)(8xy)	\frac{\partial\:}{\partial\:y}(8xy)
integral of x^{-1/3}	\int\:x^{-\frac{1}{3}}dx
(\partial)/(\partial x)(2e^2+e^y(2x+2y))	\frac{\partial\:}{\partial\:x}(2e^{2}+e^{y}(2x+2y))
integral from 2 to infinity of 1/(x^5)	\int\:_{2}^{\infty\:}\frac{1}{x^{5}}dx
area x^2,x+6	area\:x^{2},x+6
integral of xe^{(x^2)/2}	\int\:xe^{\frac{x^{2}}{2}}dx
derivative of 2x*e^{3x}	\frac{d}{dx}(2x\cdot\:e^{3x})
limit as x approaches pi of 3arctan(x)	\lim\:_{x\to\:π}(3\arctan(x))
derivative of (sqrt(2x^2-2x+1)/x)	\frac{d}{dx}(\frac{\sqrt{2x^{2}-2x+1}}{x})
slope of (0)(4.3)	slope\:(0)(4.3)
integral of (cos(x)-sin(x))^2	\int\:(\cos(x)-\sin(x))^{2}dx
sum from n=0 to infinity of 2^{-2-2n}	\sum\:_{n=0}^{\infty\:}2^{-2-2n}
derivative of pic(cos((pix)/L))/(L)	derivative\:π\cdot\:c\cdot\:\frac{\cos(\frac{πx}{L})}{L}
integral of 6x^2sin(1/2 x)	\int\:6x^{2}\sin(\frac{1}{2}x)dx
derivative of (x^2-1)/(x+3)	derivative\:\frac{x^{2}-1}{x+3}
laplacetransform e^{2-t}	laplacetransform\:e^{2-t}
laplacetransform (t-4)^2	laplacetransform\:(t-4)^{2}
(\partial)/(\partial y)(x^3)	\frac{\partial\:}{\partial\:y}(x^{3})
(x^4+y^4)dx-xy^3dy=0	(x^{4}+y^{4})dx-xy^{3}dy=0
(dy)/(dx)-tan(x)-1/x =0	\frac{dy}{dx}-\tan(x)-\frac{1}{x}=0
integral of 2/((x^2-1)^2)	\int\:\frac{2}{(x^{2}-1)^{2}}dx
integral from 0 to 1 of (x^3-5x-9)/(x^2-x-6)	\int\:_{0}^{1}\frac{x^{3}-5x-9}{x^{2}-x-6}dx
derivative of 1/(sqrt(x-2))	derivative\:\frac{1}{\sqrt{x-2}}
integral of 4/(\sqrt[5]{x^3)}	\int\:\frac{4}{\sqrt[5]{x^{3}}}dx
f(x)=3x^{3x}	f(x)=3x^{3x}
limit as x approaches 0 of 1/(csc(x))	\lim\:_{x\to\:0}(\frac{1}{\csc(x)})
derivative of (2x+1/(3x+4))	\frac{d}{dx}(\frac{2x+1}{3x+4})
(\partial}{\partial y}(\frac{x^2)/y)	\frac{\partial\:}{\partial\:y}(\frac{x^{2}}{y})
integral of sin(x)+cos(x)	\int\:\sin(x)+\cos(x)dx
derivative of y=2x-2/x	derivative\:y=2x-\frac{2}{x}
integral of (10x+2)sqrt(5x^2+2x)	\int\:(10x+2)\sqrt{5x^{2}+2x}dx
limit as x approaches 0 of 4/(xcsc(8x))	\lim\:_{x\to\:0}(\frac{4}{x\csc(8x)})
integral of (4e^x-5/x)	\int\:(4e^{x}-\frac{5}{x})dx
limit as x approaches-1 of (1/x+1)/(x+1)	\lim\:_{x\to\:-1}(\frac{\frac{1}{x}+1}{x+1})
integral from-2 to 2 of (4-x^2)^2	\int\:_{-2}^{2}(4-x^{2})^{2}dx
integral from-1 to 1 of 1/(x+2)	\int\:_{-1}^{1}\frac{1}{x+2}dx
integral from 1 to 2 of (x+1)/(sqrt(x))	\int\:_{1}^{2}\frac{x+1}{\sqrt{x}}dx
(d^4y)/(dx^4)-23(d^2y)/(dx^2)-50y=0	\frac{d^{4}y}{dx^{4}}-23\frac{d^{2}y}{dx^{2}}-50y=0
derivative of 5x+4/x	derivative\:5x+\frac{4}{x}
limit as x approaches 0 of-(1/x-1/(\|x\|))	\lim\:_{x\to\:0}(-(\frac{1}{x}-\frac{1}{\left\|x\right\|}))
limit as x approaches 0 of sqrt(sin(2x))	\lim\:_{x\to\:0}(\sqrt{\sin(2x)})
d/(dy)(-y/(x^2+y^2))	\frac{d}{dy}(-\frac{y}{x^{2}+y^{2}})
inverse oflaplace s/((s-2)^2+16)	inverselaplace\:\frac{s}{(s-2)^{2}+16}

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