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Popular Calculus Problems

integral of (sec^2(x)e^{tan(x)})	\int\:(\sec^{2}(x)e^{\tan(x)})dx
tangent of (sqrt(x))/(x+4)	tangent\:\frac{\sqrt{x}}{x+4}
derivative of log_{8}(2x^3+3x^2+1)	derivative\:\log_{8}(2x^{3}+3x^{2}+1)
integral of (sqrt(4x^2-9))/(x^3)	\int\:\frac{\sqrt{4x^{2}-9}}{x^{3}}dx
limit as x approaches 0 of sqrt(x)	\lim\:_{x\to\:0}(\sqrt{x})
limit as x approaches 1 of 1/(\|x-1\|)	\lim\:_{x\to\:1}(\frac{1}{\left\|x-1\right\|})
(\partial)/(\partial y)(tan(3+2x^2y^3z^2))	\frac{\partial\:}{\partial\:y}(\tan(3+2x^{2}y^{3}z^{2}))
integral of 1/(x^2sqrt(x-1))	\int\:\frac{1}{x^{2}\sqrt{x-1}}dx
integral of (4^x-1/(3x))	\int\:(4^{x}-\frac{1}{3x})dx
maclaurin 1/(1+x+x^2)	maclaurin\:\frac{1}{1+x+x^{2}}
factor 12x^5-8x^4+20x^3	factor\:12x^{5}-8x^{4}+20x^{3}
slope of (-1,8),(3,-4)	slope\:(-1,8),(3,-4)
f(x)=(3x^3-4)(-4x-3)	f(x)=(3x^{3}-4)(-4x-3)
area y=cos(x),y=0.5	area\:y=\cos(x),y=0.5
integral from-10 to 10 of xe^{-x^8}	\int\:_{-10}^{10}xe^{-x^{8}}dx
derivative of sin(x/2)	derivative\:\sin(\frac{x}{2})
derivative of ((x+3))/(x^2-4)	derivative\:\frac{(x+3)}{x^{2}-4}
(9x^2+y-1)dx-(4y-x)dy=0	(9x^{2}+y-1)dx-(4y-x)dy=0
(\partial)/(\partial x)(1+ln(x)+y/x)	\frac{\partial\:}{\partial\:x}(1+\ln(x)+\frac{y}{x})
limit as x approaches infinity of (ln(x))/(\sqrt[3]{x)}	\lim\:_{x\to\:\infty\:}(\frac{\ln(x)}{\sqrt[3]{x}})
maclaurin 1/(x-1)	maclaurin\:\frac{1}{x-1}
(\partial)/(\partial x)(x^4+y^4-4x+1y)	\frac{\partial\:}{\partial\:x}(x^{4}+y^{4}-4x+1y)
tangent of f(x)=5x^{1/2}+x^{3/2},\at x=4	tangent\:f(x)=5x^{\frac{1}{2}}+x^{\frac{3}{2}},\at\:x=4
implicit (dy)/(dx),y^3+y=x	implicit\:\frac{dy}{dx},y^{3}+y=x
integral of 1/(x^{13)}	\int\:\frac{1}{x^{13}}dx
integral of sec(x)*tan(x)	\int\:\sec(x)\cdot\:\tan(x)dx
integral of (3x^2-6x+2)	\int\:(3x^{2}-6x+2)dx
tangent of f(x)=2-5x^2,(-2,-18)	tangent\:f(x)=2-5x^{2},(-2,-18)
derivative of (x-2)/((x+2)(x-3))	derivative\:\frac{x-2}{(x+2)(x-3)}
y^'=(2y)/x ,y(1/(sqrt(2)))=5	y^{\prime\:}=\frac{2y}{x},y(\frac{1}{\sqrt{2}})=5
limit as x approaches 0 of ((x^3))/x	\lim\:_{x\to\:0}(\frac{(x^{3})}{x})
integral from-1 to 3 of x	\int\:_{-1}^{3}xdx
integral of (2x^3+5x^2-2x+1)	\int\:(2x^{3}+5x^{2}-2x+1)dx
derivative of x(x+1)^{-1}	derivative\:x(x+1)^{-1}
limit as e^{e^x} approaches 0+of (e^{e^x-2})/2	\lim\:_{e^{e^{x}}\to\:0+}(\frac{e^{e^{x}-2}}{2})
derivative of cot(6x-x^2)	\frac{d}{dx}(\cot(6x-x^{2}))
derivative of x*sin(1/x)	derivative\:x\cdot\:\sin(\frac{1}{x})
area y=x^3-11x^2+30x,y=-x^3+11x^2-30x	area\:y=x^{3}-11x^{2}+30x,y=-x^{3}+11x^{2}-30x
derivative of f(x)=3-e^{-x}	derivative\:f(x)=3-e^{-x}
derivative of \sqrt[3]{7x}	\frac{d}{dx}(\sqrt[3]{7x})
derivative of ln(sqrt(x))	derivative\:\ln(\sqrt{x})
integral of e^{-x}sqrt(1+1/(e^{2x))}	\int\:e^{-x}\sqrt{1+\frac{1}{e^{2x}}}dx
derivative of arccot(8y)	derivative\:\arccot(8y)
(\partial)/(\partial x)(x^3+y^3+z^3)	\frac{\partial\:}{\partial\:x}(x^{3}+y^{3}+z^{3})
derivative of 2+\|x-3\|	\frac{d}{dx}(2+\left\|x-3\right\|)
integral of 7/(x-6)	\int\:\frac{7}{x-6}dx
integral of-x+5	\int\:-x+5dx
derivative of ln(2x^3)	\frac{d}{dx}(\ln(2x^{3}))
(\partial)/(\partial x)((y^2)/(x+y))	\frac{\partial\:}{\partial\:x}(\frac{y^{2}}{x+y})
derivative of (sin(xcos(x))/(2x^2))	\frac{d}{dx}(\frac{\sin(x)\cos(x)}{2x^{2}})
limit as x approaches infinity+of 5+6/x	\lim\:_{x\to\:\infty\:+}(5+\frac{6}{x})
2(d^2y)/(dx^2)-14(dy)/(dx)+24y=3sin(4x)	2\frac{d^{2}y}{dx^{2}}-14\frac{dy}{dx}+24y=3\sin(4x)
limit as x approaches 2-of e^{3/((2-x))}	\lim\:_{x\to\:2-}(e^{\frac{3}{(2-x)}})
(dy)/(dx)=sqrt(6y)e^{x+2}	\frac{dy}{dx}=\sqrt{6y}e^{x+2}
area x^4-2x^2,2x^2,[-2,0]	area\:x^{4}-2x^{2},2x^{2},[-2,0]
integral of 5x-x^2	\int\:5x-x^{2}dx
integral of ((x+2))/((x^2+2x+10)^{5/2)}	\int\:\frac{(x+2)}{(x^{2}+2x+10)^{\frac{5}{2}}}dx
integral from-2 to 0 of (x^3-4x)	\int\:_{-2}^{0}(x^{3}-4x)dx
inverse oflaplace (e^{-2s})/s	inverselaplace\:\frac{e^{-2s}}{s}
y^'=2x(1+x^2-y),y(1)=2	y^{\prime\:}=2x(1+x^{2}-y),y(1)=2
integral of cos^2(x)ln(x)	\int\:\cos^{2}(x)\ln(x)dx
f(x)=(1+x+x^2)^{99}	f(x)=(1+x+x^{2})^{99}
integral of 1-cos^2(x)	\int\:1-\cos^{2}(x)dx
integral of 1/(x^{1.5)}	\int\:\frac{1}{x^{1.5}}dx
f(x)=2cos(sin(x))	f(x)=2\cos(\sin(x))
(dy)/(dt)-7/t y=t^5	\frac{dy}{dt}-\frac{7}{t}y=t^{5}
derivative of f(x)=(x^2-5x+8)(3x^2-2)	derivative\:f(x)=(x^{2}-5x+8)(3x^{2}-2)
derivative of 1/(x+y)	\frac{d}{dx}(\frac{1}{x+y})
integral of 6x+12xln(8x)	\int\:6x+12x\ln(8x)dx
integral of (x^{-2})	\int\:(x^{-2})dx
(10y^2-xy)dx+x^2dy=0	(10y^{2}-xy)dx+x^{2}dy=0
limit as x approaches infinity of 6x^2	\lim\:_{x\to\:\infty\:}(6x^{2})
sum from n=0 to infinity of 1/(1+ln(n))	\sum\:_{n=0}^{\infty\:}\frac{1}{1+\ln(n)}
integral from 2 to 3 of 2/(x^2-1)	\int\:_{2}^{3}\frac{2}{x^{2}-1}dx
integral of x^2-2x	\int\:x^{2}-2xdx
integral from-1 to 1 of 1/2 (3-3x^2)^2	\int\:_{-1}^{1}\frac{1}{2}(3-3x^{2})^{2}dx
f(x)=x^3cos(x)	f(x)=x^{3}\cos(x)
(\partial)/(\partial x)((4x+3)/(4y+1))	\frac{\partial\:}{\partial\:x}(\frac{4x+3}{4y+1})
derivative of (ln(x)/(x^{5/4)})	\frac{d}{dx}(\frac{\ln(x)}{x^{\frac{5}{4}}})
integral of ycos(y)sin^2(y)	\int\:y\cos(y)\sin^{2}(y)dy
tangent of 1/x ,\at x=2	tangent\:\frac{1}{x},\at\:x=2
area y=e^x,y=e^{3x},x=ln(2),x=ln(3)	area\:y=e^{x},y=e^{3x},x=\ln(2),x=\ln(3)
derivative of [x+(x+sin^2(x))^5]^7	derivative\:[x+(x+\sin^{2}(x))^{5}]^{7}
derivative of 6(2x^3+3)6x^2	derivative\:6(2x^{3}+3)6x^{2}
integral of (2-4x^2)/(x-x^3)	\int\:\frac{2-4x^{2}}{x-x^{3}}dx
tangent of y=F-x^2-x,\at x=-2	tangent\:y=F-x^{2}-x,\at\:x=-2
derivative of f(x)=10sqrt(t)	derivative\:f(x)=10\sqrt{t}
y^'=x+4y	y^{\prime\:}=x+4y
sum from n=0 to infinity of 2n	\sum\:_{n=0}^{\infty\:}2n
area x+20,x^2	area\:x+20,x^{2}
derivative of (2x+1^2)	\frac{d}{dx}((2x+1)^{2})
integral of 6sin^4(x)cos^2(x)	\int\:6\sin^{4}(x)\cos^{2}(x)dx
integral of 5x^4y^2+4x^3y^3	\int\:5x^{4}y^{2}+4x^{3}y^{3}dx
(\partial)/(\partial x)(5+cos(0.5x-t))	\frac{\partial\:}{\partial\:x}(5+\cos(0.5x-t))
derivative of '(1/(x^2)-9/(x^4))(x+5x^3)	derivative\:\prime\:(\frac{1}{x^{2}}-\frac{9}{x^{4}})(x+5x^{3})
integral of 2x(3-x^2)^3	\int\:2x(3-x^{2})^{3}dx
integral of (x^5)/(x^6+6)	\int\:\frac{x^{5}}{x^{6}+6}dx
limit as x approaches-1 of (x^2)/(x+1)	\lim\:_{x\to\:-1}(\frac{x^{2}}{x+1})
(\partial)/(\partial x)(ln(ln(2x+2y)))	\frac{\partial\:}{\partial\:x}(\ln(\ln(2x+2y)))
integral of (x^2)/(x^2+5)	\int\:\frac{x^{2}}{x^{2}+5}dx

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