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Popular Calculus Problems

integral of csc^2(x)+5	\int\:\csc^{2}(x)+5dx
(sqrt(1-x))^'	(\sqrt{1-x})^{\prime\:}
(\partial)/(\partial x)(-2xe^{-x^2})	\frac{\partial\:}{\partial\:x}(-2xe^{-x^{2}})
derivative of sec^2(x)	derivative\:\sec^{2}(x)
2y^{''}+17y^'-9y=0	2y^{\prime\:\prime\:}+17y^{\prime\:}-9y=0
d/(d{y)}({x}{y}+{y}{z}+{x}{z})	\frac{d}{d{y}}({x}{y}+{y}{z}+{x}{z})
y^'=3e^{x-y}	y^{\prime\:}=3e^{x-y}
f(x)=tan(4x)	f(x)=\tan(4x)
(dy)/(dt)=3+5y	\frac{dy}{dt}=3+5y
derivative of 8^{sqrt(2s-1)}	derivative\:8^{\sqrt{2s-1}}
area y=-x^2+4,y=3x^2	area\:y=-x^{2}+4,y=3x^{2}
derivative of log_{2}(2x+4)	\frac{d}{dx}(\log_{2}(2x+4))
integral of x^7sqrt(ax^8-b)	\int\:x^{7}\sqrt{ax^{8}-b}dx
derivative of (2x/(x^2+2))	\frac{d}{dx}(\frac{2x}{x^{2}+2})
derivative of tan^2(sqrt(x))	\frac{d}{dx}(\tan^{2}(\sqrt{x}))
limit as x approaches 0 of e^{4x+2}	\lim\:_{x\to\:0}(e^{4x+2})
derivative of f(x)=(1+tan(2x))^3	derivative\:f(x)=(1+\tan(2x))^{3}
derivative of sin(-5x)	derivative\:\sin(-5x)
integral of 1/(cos(u)+1)	\int\:\frac{1}{\cos(u)+1}du
(dy)/(dx)=6xsqrt(8y+17)	\frac{dy}{dx}=6x\sqrt{8y+17}
(dy)/(dx)=x^2+y/x	\frac{dy}{dx}=x^{2}+\frac{y}{x}
integral of (-1)/(1+sin(x))	\int\:\frac{-1}{1+\sin(x)}dx
derivative of f(x)=sin(x)*cos(x)	derivative\:f(x)=\sin(x)\cdot\:\cos(x)
inverse oflaplace 3/(s^2+4)	inverselaplace\:\frac{3}{s^{2}+4}
area-2x^2+8,3x+1,x=0	area\:-2x^{2}+8,3x+1,x=0
7y^{''}+21y^'-28y=0	7y^{\prime\:\prime\:}+21y^{\prime\:}-28y=0
limit as x approaches 0 of (x^3+1)/(x^5)	\lim\:_{x\to\:0}(\frac{x^{3}+1}{x^{5}})
laplacetransform cos(6t)	laplacetransform\:\cos(6t)
derivative of 1/((x^2+1^{3/2)})	\frac{d}{dx}(\frac{1}{(x^{2}+1)^{\frac{3}{2}}})
f(x)=(1-5x)/(x+3)	f(x)=\frac{1-5x}{x+3}
derivative of x^{8/x}	\frac{d}{dx}(x^{\frac{8}{x}})
limit as x approaches pi of ln(cos(x)-8)	\lim\:_{x\to\:π}(\ln(\cos(x)-8))
laplacetransform cos(5t)	laplacetransform\:\cos(5t)
limit as x approaches 2 of x/((-x+2)^2)	\lim\:_{x\to\:2}(\frac{x}{(-x+2)^{2}})
(dy)/(dx)=(y^2+5xsqrt(x^2+y^2))/(xy)	\frac{dy}{dx}=\frac{y^{2}+5x\sqrt{x^{2}+y^{2}}}{xy}
9y^{''}-18y^'+11y=0	9y^{\prime\:\prime\:}-18y^{\prime\:}+11y=0
limit as x approaches-4 of (2x+3)/(x+4)	\lim\:_{x\to\:-4}(\frac{2x+3}{x+4})
derivative of (a-xsqrt(a+x))	\frac{d}{dx}((a-x)\sqrt{a+x})
derivative of e^{2x}cos(pix)	\frac{d}{dx}(e^{2x}\cos(πx))
integral of sin(ln(8x))	\int\:\sin(\ln(8x))dx
derivative of arcsin(x)	derivative\:\arcsin(x)
(d^2y)/(dx^2)+2/x (dy)/(dx)=3xx	\frac{d^{2}y}{dx^{2}}+\frac{2}{x}\frac{dy}{dx}=3xx
tangent of f(x)=(x^2+7)(5x+4),\at x=2	tangent\:f(x)=(x^{2}+7)(5x+4),\at\:x=2
limit as x approaches 0 of 9	\lim\:_{x\to\:0}(9)
integral of 1/(cos^2(3x))	\int\:\frac{1}{\cos^{2}(3x)}dx
integral of e	\int\:e
y^'=(2x^7e^{y/x}+x^5y^2)/(x^6y)	y^{\prime\:}=\frac{2x^{7}e^{\frac{y}{x}}+x^{5}y^{2}}{x^{6}y}
(dy)/(dt)=1y,y(1)=3	\frac{dy}{dt}=1y,y(1)=3
derivative of 3x^3+5x^2-4x+10	\frac{d}{dx}(3x^{3}+5x^{2}-4x+10)
integral of tan^2(6x)sec^4(6x)	\int\:\tan^{2}(6x)\sec^{4}(6x)dx
area x^3,-x,8	area\:x^{3},-x,8
integral from 0 to 6 of 9sqrt(4x+1)	\int\:_{0}^{6}9\sqrt{4x+1}dx
36y^{''}-y=0,y(-5)=1,y^'(-5)=-1	36y^{\prime\:\prime\:}-y=0,y(-5)=1,y^{\prime\:}(-5)=-1
y^{''}-y^'=0	y^{\prime\:\prime\:}-y^{\prime\:}=0
limit as x approaches 2+of tan((pix)/4)	\lim\:_{x\to\:2+}(\tan(\frac{πx}{4}))
integral from 1 to infinity of 2^{-x}	\int\:_{1}^{\infty\:}2^{-x}dx
tangent of f(x)=(x^3+2)^5,\at x=-1	tangent\:f(x)=(x^{3}+2)^{5},\at\:x=-1
taylor sqrt(x),1	taylor\:\sqrt{x},1
derivative of sqrt(4-3x^2)	\frac{d}{dx}(\sqrt{4-3x^{2}})
derivative of In(-x^2+6x)	\frac{d}{dx}(In(-x^{2}+6x))
limit as x approaches 1+of (x+9)/(x+2)	\lim\:_{x\to\:1+}(\frac{x+9}{x+2})
(\partial)/(\partial x)(4yx^3-12y^2x^2)	\frac{\partial\:}{\partial\:x}(4yx^{3}-12y^{2}x^{2})
inverse oflaplace se^{-s}	inverselaplace\:se^{-s}
limit as x approaches 0+of x^{3/x}	\lim\:_{x\to\:0+}(x^{\frac{3}{x}})
derivative of cos(6x^3-4)	\frac{d}{dx}(\cos(6x^{3}-4))
laplacetransform e^{-2((t-1))}*1((t-1))	laplacetransform\:e^{-2((t-1))}\cdot\:1((t-1))
integral from 0 to 7 of e^xsin(x)	\int\:_{0}^{7}e^{x}\sin(x)dx
derivative of 2x^3-48x^2	\frac{d}{dx}(2x^{3}-48x^{2})
integral of sqrt(2x-1)	\int\:\sqrt{2x-1}dx
integral of 16θsec^2(θ)	\int\:16θ\sec^{2}(θ)dθ
y^{''}-6y^'+9y=0,y(0)=4,y^'(0)=0	y^{\prime\:\prime\:}-6y^{\prime\:}+9y=0,y(0)=4,y^{\prime\:}(0)=0
integral from-1/3 to 0 of 3/4 (1-x^2)	\int\:_{-\frac{1}{3}}^{0}\frac{3}{4}(1-x^{2})dx
derivative of sqrt(x)+x^2+ln(x)	derivative\:\sqrt{x}+x^{2}+\ln(x)
limit as x approaches+2pi of f(x)	\lim\:_{x\to\:+2π}(f(x))
derivative of ln(x^3+3x)	derivative\:\ln(x^{3}+3x)
(dx)/(dy)=5x+y	\frac{dx}{dy}=5x+y
(dy)/(dx)=y^2,y(1)=1	\frac{dy}{dx}=y^{2},y(1)=1
integral of (2x+1)/(x(x+1)^2)	\int\:\frac{2x+1}{x(x+1)^{2}}dx
integral of (x-2)	\int\:(x-2)dx
integral from 0 to 1 of xcos(2x^2+7)	\int\:_{0}^{1}x\cos(2x^{2}+7)dx
(\partial)/(\partial x)(sqrt(xy^2+y^2))	\frac{\partial\:}{\partial\:x}(\sqrt{xy^{2}+y^{2}})
integral from 1 to 3 of 2r^4ln(r)	\int\:_{1}^{3}2r^{4}\ln(r)dr
slope of (-4,-4),(2,5)	slope\:(-4,-4),(2,5)
integral of (4x-3)(2x-1)	\int\:(4x-3)(2x-1)dx
(\partial)/(\partial x)(x^3y+xy^2-2x^2-y^2)	\frac{\partial\:}{\partial\:x}(x^{3}y+xy^{2}-2x^{2}-y^{2})
integral of (x-1)/(x+2)	\int\:\frac{x-1}{x+2}dx
derivative of f(x)=8x^3	derivative\:f(x)=8x^{3}
derivative of (sec^2(x)dx)	\frac{d}{dx}((\sec^{2}(x))dx)
derivative of f(t)=t^6sin(t)	derivative\:f(t)=t^{6}\sin(t)
derivative of cos(-x)	derivative\:\cos(-x)
(\partial)/(\partial y)(5x+4y)	\frac{\partial\:}{\partial\:y}(5x+4y)
integral of 2xe^{3x^2}	\int\:2xe^{3x^{2}}dx
limit as x approaches+(-1) of x-1	\lim\:_{x\to\:+(-1)}(x-1)
integral from 0 to 2 of pi(4/(x^2+4))^2	\int\:_{0}^{2}π(\frac{4}{x^{2}+4})^{2}dx
limit as x approaches 0 of ((sin(x)))/x	\lim\:_{x\to\:0}(\frac{(\sin(x))}{x})
(\partial)/(\partial x)(-x^3+6x^2y^3+5y^2)	\frac{\partial\:}{\partial\:x}(-x^{3}+6x^{2}y^{3}+5y^{2})
integral of (2x+3)/((2x^2+6x)^4)	\int\:\frac{2x+3}{(2x^{2}+6x)^{4}}dx
(dx)/(dt)= 1/(t(1-t))	\frac{dx}{dt}=\frac{1}{t(1-t)}
d/(dt)(xy)	\frac{d}{dt}(xy)
integral of (x-1/(x^2))	\int\:(x-\frac{1}{x^{2}})dx

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