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Popular Calculus Problems

derivative of (2x^2-2xle{f}(x,t)t(x^2-3))	\frac{d}{dx}((2x^{2}-2x)le{f}(x,t)t(x^{2}-3))
derivative of f(x)=(2+5x)^2	derivative\:f(x)=(2+5x)^{2}
limit as x approaches 0+of 1/x-1/(x^2+x)	\lim\:_{x\to\:0+}(\frac{1}{x}-\frac{1}{x^{2}+x})
(\partial)/(\partial x)(xy^2-x^2y+xy)	\frac{\partial\:}{\partial\:x}(xy^{2}-x^{2}y+xy)
integral from 0 to 2 of 8e^{-3x}	\int\:_{0}^{2}8e^{-3x}dx
limit as x approaches-3 of sqrt(9-x^2)	\lim\:_{x\to\:-3}(\sqrt{9-x^{2}})
sum from k=0 to infinity of 3(x/4)^k	\sum\:_{k=0}^{\infty\:}3(\frac{x}{4})^{k}
simplify ((x^2+1)/(x^2-1))^3	simplify\:(\frac{x^{2}+1}{x^{2}-1})^{3}
limit as h approaches 0 of 3h+6	\lim\:_{h\to\:0}(3h+6)
limit as x approaches 0 of (cos(4x^2))/x	\lim\:_{x\to\:0}(\frac{\cos(4x^{2})}{x})
integral of 5/(sqrt(3-4x-x^2))	\int\:\frac{5}{\sqrt{3-4x-x^{2}}}dx
taylor xln(x),1	taylor\:x\ln(x),1
limit as x approaches 0 of arctan(x^2+1)	\lim\:_{x\to\:0}(\arctan(x^{2}+1))
integral from 0 to 1 of integral from 0 to 2 of xye^{xy^2}	\int\:_{0}^{1}\int\:_{0}^{2}xye^{xy^{2}}dxdy
integral of (e^{2x}+4)^{-1}	\int\:(e^{2x}+4)^{-1}dx
integral from ln(4) to ln(25) of e^{x/2}	\int\:_{\ln(4)}^{\ln(25)}e^{\frac{x}{2}}dx
limit as x approaches 0 of-5/(1-5x)	\lim\:_{x\to\:0}(-\frac{5}{1-5x})
(dy)/(dx)= 1/(sqrt(1-x)),y(0)=1	\frac{dy}{dx}=\frac{1}{\sqrt{1-x}},y(0)=1
derivative of f(x)=(x^2+2x-4)/((x+1)^2)	derivative\:f(x)=\frac{x^{2}+2x-4}{(x+1)^{2}}
tangent of x^3-x^2+1	tangent\:x^{3}-x^{2}+1
integral of x*ln((1-x)/(1+x))	\int\:x\cdot\:\ln(\frac{1-x}{1+x})dx
derivative of (ln(x+1)^{2-e^{x^2}})	\frac{d}{dx}((\ln(x+1))^{2-e^{x^{2}}})
integral from 1 to 2 of x/2-2/x	\int\:_{1}^{2}\frac{x}{2}-\frac{2}{x}dx
limit as x approaches pi/3 of tan(3x)	\lim\:_{x\to\:\frac{π}{3}}(\tan(3x))
integral of 1/((x+t)^2)	\int\:\frac{1}{(x+t)^{2}}
limit as x approaches 1 of 3x-1	\lim\:_{x\to\:1}(3x-1)
(\partial)/(\partial x)(x^3+zx+10)	\frac{\partial\:}{\partial\:x}(x^{3}+zx+10)
integral of 1/(sqrt(u)+1)	\int\:\frac{1}{\sqrt{u}+1}du
derivative of 3/(5x^5)	\frac{d}{dx}(\frac{3}{5x^{5}})
limit as x approaches 1+of 1/(ln(x))	\lim\:_{x\to\:1+}(\frac{1}{\ln(x)})
integral of xsin(5x^2)cos(8x^2)	\int\:x\sin(5x^{2})\cos(8x^{2})dx
tangent of f(x)=5-4/x ,(-1,1)	tangent\:f(x)=5-\frac{4}{x},(-1,1)
integral of x^9e^{x^{10}-9}	\int\:x^{9}e^{x^{10}-9}dx
integral of 2e^{2x+5}	\int\:2e^{2x+5}dx
sum from n=1 to infinity of arctan(3n)	\sum\:_{n=1}^{\infty\:}\arctan(3n)
integral of-x+2x^3	\int\:-x+2x^{3}dx
integral of sqrt(1-6x)	\int\:\sqrt{1-6x}dx
integral of (e^{arcsin(x)})/(sqrt(1-x^2))	\int\:\frac{e^{\arcsin(x)}}{\sqrt{1-x^{2}}}dx
derivative of (12/(x+2)-3)	\frac{d}{dx}(\frac{12}{x+2}-3)
derivative of (x^2-4x/(x+1))	\frac{d}{dx}(\frac{x^{2}-4x}{x+1})
integral of-(x^2+11x+28)/((x+2)^2)	\int\:-\frac{x^{2}+11x+28}{(x+2)^{2}}dx
derivative of 1/(x^2+5)	\frac{d}{dx}(\frac{1}{x^{2}+5})
derivative of f(x)=-16t^2	derivative\:f(x)=-16t^{2}
inverse oflaplace (s-1)/(2(s^2+1))	inverselaplace\:\frac{s-1}{2(s^{2}+1)}
tangent of 2x^2-5x+3	tangent\:2x^{2}-5x+3
taylor sin(x-x^2)	taylor\:\sin(x-x^{2})
derivative of 2^{2^x}	\frac{d}{dx}(2^{2^{x}})
integral of tan^2(3x)sec^2(3x)	\int\:\tan^{2}(3x)\sec^{2}(3x)dx
integral of-(cos(x))/(sin^2(x))	\int\:-\frac{\cos(x)}{\sin^{2}(x)}dx
integral of 3/x+10x-3	\int\:\frac{3}{x}+10x-3dx
integral from 1 to 2 of (7ln(x))/(x^2)	\int\:_{1}^{2}\frac{7\ln(x)}{x^{2}}dx
integral of 5x*\sqrt[3]{1-x^2}	\int\:5x\cdot\:\sqrt[3]{1-x^{2}}dx
(\partial)/(\partial x)(1/(1-bx))	\frac{\partial\:}{\partial\:x}(\frac{1}{1-bx})
integral of (arctan(5x))/(1+25x^2)	\int\:\frac{\arctan(5x)}{1+25x^{2}}dx
derivative of (2x-7^4(x^2+x+1)^5)	\frac{d}{dx}((2x-7)^{4}(x^{2}+x+1)^{5})
y^{''}+y^'-2y=0,y(0)=0,y^'(0)=1	y^{\prime\:\prime\:}+y^{\prime\:}-2y=0,y(0)=0,y^{\prime\:}(0)=1
limit as x approaches infinity of-(sin^2(x)+2)/(2x-5)	\lim\:_{x\to\:\infty\:}(-\frac{\sin^{2}(x)+2}{2x-5})
(\partial)/(\partial x)(sin(3x)cos(6y))	\frac{\partial\:}{\partial\:x}(\sin(3x)\cos(6y))
derivative of sqrt(x^2+8x)	\frac{d}{dx}(\sqrt{x^{2}+8x})
integral of 2xsec^2(x)	\int\:2x\sec^{2}(x)dx
derivative of sqrt(x)ln(10x)	\frac{d}{dx}(\sqrt{x}\ln(10x))
integral of ((2x-1)e^{x^2})/(e^x)	\int\:\frac{(2x-1)e^{x^{2}}}{e^{x}}dx
laplacetransform f(t)=1*t^3	laplacetransform\:f(t)=1\cdot\:t^{3}
derivative of x+log_{e}(x)	\frac{d}{dx}(x+\log_{e}(x))
tangent of x^2-x	tangent\:x^{2}-x
(dx)/(dt)-4x=cos(5t)	\frac{dx}{dt}-4x=\cos(5t)
tangent of f(x)=-3x^3-2x^2-x+3,(-,5)	tangent\:f(x)=-3x^{3}-2x^{2}-x+3,(-,5)
sum from n=1 to infinity of 1/(n^7)	\sum\:_{n=1}^{\infty\:}\frac{1}{n^{7}}
integral of sin(12x)cos(9x)	\int\:\sin(12x)\cos(9x)dx
limit as x approaches 0+of arctan(1/x)	\lim\:_{x\to\:0+}(\arctan(\frac{1}{x}))
integral from-2 to 0 of (u^5-u^3+u^2)	\int\:_{-2}^{0}(u^{5}-u^{3}+u^{2})du
integral from 1 to 2 of 2r^4ln(r)	\int\:_{1}^{2}2r^{4}\ln(r)dr
limit as x approaches 2 of csc((pix)/6)	\lim\:_{x\to\:2}(\csc(\frac{πx}{6}))
(d^{10})/(dx^{10)}((2x+5)^7)	\frac{d^{10}}{dx^{10}}((2x+5)^{7})
integral of (x^2)/(x^2+2x+1)	\int\:\frac{x^{2}}{x^{2}+2x+1}dx
derivative of e^{-x}-e^{-2x}	\frac{d}{dx}(e^{-x}-e^{-2x})
limit as x approaches 0 of [x]	\lim\:_{x\to\:0}([x])
integral of 1/(xsqrt(x^4-36))	\int\:\frac{1}{x\sqrt{x^{4}-36}}dx
tangent of x^2-xy-y^2=1,(2,1)	tangent\:x^{2}-xy-y^{2}=1,(2,1)
integral of sqrt(x^2+2x+1)	\int\:\sqrt{x^{2}+2x+1}dx
(dy)/(dx)=((xy+5x-y-5)/(xy-2x+6y-12))	\frac{dy}{dx}=(\frac{xy+5x-y-5}{xy-2x+6y-12})
xy^3dx+e^{x^2}dy=0	xy^{3}dx+e^{x^{2}}dy=0
(5x^2+2x^{-1}y+2x^{-1}y^2)dx+(1+2y)dy=0	(5x^{2}+2x^{-1}y+2x^{-1}y^{2})dx+(1+2y)dy=0
derivative of e^θsin(5θ)	derivative\:e^{θ}\sin(5θ)
taylor sqrt(x+4)	taylor\:\sqrt{x+4}
derivative of y=sqrt(4-x)	derivative\:y=\sqrt{4-x}
derivative of 10xlog_{10}(100x)	\frac{d}{dx}(10x\log_{10}(100x))
derivative of ln(y)	derivative\:\ln(y)
derivative of y=x^2sin^7(x)+xcos^{-6}(x)	derivative\:y=x^{2}\sin^{7}(x)+x\cos^{-6}(x)
integral of 1/(-20sqrt(x)-20x)	\int\:\frac{1}{-20\sqrt{x}-20x}dx
xy^'+(1+2x^2)y=x^3e^{-x^2}	xy^{\prime\:}+(1+2x^{2})y=x^{3}e^{-x^{2}}
derivative of sec(7x)	\frac{d}{dx}(\sec(7x))
derivative of 2x(x+1^2)	\frac{d}{dx}(2x(x+1)^{2})
limit as x approaches 3+of x/(3x-x^3)	\lim\:_{x\to\:3+}(\frac{x}{3x-x^{3}})
derivative of (sin(x)^2)	\frac{d}{dx}((\sin(x))^{2})
limit as x approaches 0 of (cos(x))^{cot^2(x)}	\lim\:_{x\to\:0}((\cos(x))^{\cot^{2}(x)})
maclaurin ln(((1+x))/((1-x)))	maclaurin\:\ln(\frac{(1+x)}{(1-x)})
derivative of-3e^{2x}	\frac{d}{dx}(-3e^{2x})
derivative of 1/(x^9)	derivative\:\frac{1}{x^{9}}
integral of x(x^2-3)^4	\int\:x(x^{2}-3)^{4}dx

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