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Popular Calculus Problems

(\partial)/(\partial x)(tan(6+2x^2y^4z^2))	\frac{\partial\:}{\partial\:x}(\tan(6+2x^{2}y^{4}z^{2}))
integral from 2 to sqrt(5 of)x	\int\:_{2}^{\sqrt{5}}xdx
limit as x approaches 11 of x^2	\lim\:_{x\to\:11}(x^{2})
d/(dt)(sec(t))	\frac{d}{dt}(\sec(t))
integral of (3x)/(5+6x^2)	\int\:\frac{3x}{5+6x^{2}}dx
integral of (e^x)/(1+4e^{2x)}	\int\:\frac{e^{x}}{1+4e^{2x}}dx
dx-1/(y^2-6y+13)dy=0	dx-\frac{1}{y^{2}-6y+13}dy=0
maclaurin cos(2x)	maclaurin\:\cos(2x)
derivative of sec(xsin(x))	\frac{d}{dx}(\sec(x)\sin(x))
integral of (ln(x))/(x^2)	\int\:\frac{\ln(x)}{x^{2}}dx
y^{''}+y=sec^2(x)	y^{\prime\:\prime\:}+y=\sec^{2}(x)
limit as x approaches 2 of sqrt(x^3+1)	\lim\:_{x\to\:2}(\sqrt{x^{3}+1})
(dy}{dx}=\frac{sqrt(x^2-y^2)+y)/x	\frac{dy}{dx}=\frac{\sqrt{x^{2}-y^{2}}+y}{x}
(\partial)/(\partial x)(1/(x^2+3y))	\frac{\partial\:}{\partial\:x}(\frac{1}{x^{2}+3y})
integral of (x^2+x)/(x^3-x^2+x-1)	\int\:\frac{x^{2}+x}{x^{3}-x^{2}+x-1}dx
y^'+(1-x)/(2x)y=0	y^{\prime\:}+\frac{1-x}{2x}y=0
derivative of f(x)=2x+(1936)/x	derivative\:f(x)=2x+\frac{1936}{x}
tangent of f(x)=110x-16x^2,\at x=4	tangent\:f(x)=110x-16x^{2},\at\:x=4
derivative of 1/(x+8)	derivative\:\frac{1}{x+8}
derivative of (e^x/(x^2+7))	\frac{d}{dx}(\frac{e^{x}}{x^{2}+7})
integral of (sqrt(x))/(1+\sqrt[3]{x)}	\int\:\frac{\sqrt{x}}{1+\sqrt[3]{x}}dx
integral from 1 to infinity of 5/(2x)	\int\:_{1}^{\infty\:}\frac{5}{2x}dx
2yy^'+3-(y^2+3)=0,y(0)=6	2yy^{\prime\:}+3-(y^{2}+3)=0,y(0)=6
integral from 1 to 2 of (y+5y^7)/(y^3)	\int\:_{1}^{2}\frac{y+5y^{7}}{y^{3}}dy
integral of x(x^2-4)	\int\:x(x^{2}-4)dx
sum from n=1 to infinity of 2/(nln(7n))	\sum\:_{n=1}^{\infty\:}\frac{2}{n\ln(7n)}
integral of sin(x/3)	\int\:\sin(\frac{x}{3})dx
integral of \sqrt[7]{x^6}	\int\:\sqrt[7]{x^{6}}dx
(\partial)/(\partial y)(3x-2y^4)	\frac{\partial\:}{\partial\:y}(3x-2y^{4})
integral of (x^2)/(x^3-2)	\int\:\frac{x^{2}}{x^{3}-2}dx
area x=-2,x=3,y=x^2-12,y=x-6	area\:x=-2,x=3,y=x^{2}-12,y=x-6
derivative of sqrt(1-x^{12)}	derivative\:\sqrt{1-x^{12}}
(\partial ^2)/(\partial x^2)(1/(sqrt(xy)))	\frac{\partial\:^{2}}{\partial\:x^{2}}(\frac{1}{\sqrt{xy}})
integral of xsin(1/6 x)	\int\:x\sin(\frac{1}{6}x)dx
integral of 4/(x-4)	\int\:\frac{4}{x-4}dx
area (156)/x ,-49x+189	area\:\frac{156}{x},-49x+189
integral of ((4+e^x)^2)/(e^x)	\int\:\frac{(4+e^{x})^{2}}{e^{x}}dx
y^{''}+4y^'+7y=0,y(0)=-2,y^'(0)=4	y^{\prime\:\prime\:}+4y^{\prime\:}+7y=0,y(0)=-2,y^{\prime\:}(0)=4
limit as x approaches 0-of e^{2x}	\lim\:_{x\to\:0-}(e^{2x})
(dr)/(dt)=-r^3	\frac{dr}{dt}=-r^{3}
1600y^{''}-9y=0,y(0)=7,y^'(0)=6	1600y^{\prime\:\prime\:}-9y=0,y(0)=7,y^{\prime\:}(0)=6
limit as x approaches-1 of x^2+4x	\lim\:_{x\to\:-1}(x^{2}+4x)
(dy)/(dt)=4y+y^4	\frac{dy}{dt}=4y+y^{4}
tangent of f(x)=-(4x)/(x^2+1),\at x=0	tangent\:f(x)=-\frac{4x}{x^{2}+1},\at\:x=0
integral of r^2((r^3)/(15)-8)^4	\int\:r^{2}(\frac{r^{3}}{15}-8)^{4}dr
(\partial)/(\partial x)((s^2+4)/(t-3))	\frac{\partial\:}{\partial\:x}(\frac{s^{2}+4}{t-3})
derivative of ln(arctan(2x^5))	\frac{d}{dx}(\ln(\arctan(2x^{5})))
integral of 1/(6x^5)	\int\:\frac{1}{6x^{5}}dx
derivative of 3*2^{2x+1}	derivative\:3\cdot\:2^{2x+1}
integral from 0 to 1 of rsqrt(1-r^2)	\int\:_{0}^{1}r\sqrt{1-r^{2}}dr
integral of ((x^3)/(x-1))	\int\:(\frac{x^{3}}{x-1})dx
derivative of (1-x^3-3x(1-x)^2)	\frac{d}{dx}((1-x)^{3}-3x(1-x)^{2})
(dy)/(dx)=(x-1)/(3x^2-6x-1)	\frac{dy}{dx}=\frac{x-1}{3x^{2}-6x-1}
integral of (ln(x))2	\int\:(\ln(x))2dx
derivative of (ln(x))/(ln(2))	derivative\:\frac{\ln(x)}{\ln(2)}
integral of x/(sqrt(9+x^4))	\int\:\frac{x}{\sqrt{9+x^{4}}}dx
taylor (1+0.5x)/(1-0.5x)	taylor\:\frac{1+0.5x}{1-0.5x}
derivative of (3x/(2x^2+1))	\frac{d}{dx}(\frac{3x}{2x^{2}+1})
(\partial)/(\partial x)(1/2 (x^2+6y^2))	\frac{\partial\:}{\partial\:x}(\frac{1}{2}(x^{2}+6y^{2}))
tangent of f(x)=x(x^2-4x+5)^4,\at x=2	tangent\:f(x)=x(x^{2}-4x+5)^{4},\at\:x=2
integral of (e^{-st})/s	\int\:\frac{e^{-st}}{s}dt
integral of ln(6x+1)	\int\:\ln(6x+1)dx
derivative of sin(e^x-1)	\frac{d}{dx}(\sin(e^{x}-1))
tangent of 4x^3-4x^2+3	tangent\:4x^{3}-4x^{2}+3
sum from n=1 to infinity of (n^3)/(e^n)	\sum\:_{n=1}^{\infty\:}\frac{n^{3}}{e^{n}}
limit as x approaches 1+of x^{8/(1-x)}	\lim\:_{x\to\:1+}(x^{\frac{8}{1-x}})
limit as x approaches 0-of \|x\|	\lim\:_{x\to\:0-}(\left\|x\right\|)
(\partial)/(\partial y)(e^{3x}sin(3y))	\frac{\partial\:}{\partial\:y}(e^{3x}\sin(3y))
tangent of f(x)=(-2x)/(x^2+1)	tangent\:f(x)=\frac{-2x}{x^{2}+1}
sum from n=1 to infinity of (2n+1)/(4^n)	\sum\:_{n=1}^{\infty\:}\frac{2n+1}{4^{n}}
integral from 0 to sqrt(7 of)(x^3)/(\sqrt[3]{1+x^2)}	\int\:_{0}^{\sqrt{7}}\frac{x^{3}}{\sqrt[3]{1+x^{2}}}dx
limit as x approaches 3 of ((-4)(0))/4	\lim\:_{x\to\:3}(\frac{(-4)(0)}{4})
derivative of (x^7+2)/(x^7)	derivative\:\frac{x^{7}+2}{x^{7}}
tangent of 11-x^2(3.2)	tangent\:11-x^{2}(3.2)
integral of tan^4(6x)sec^2(6x)	\int\:\tan^{4}(6x)\sec^{2}(6x)dx
(\partial)/(\partial y)(sqrt(y^2-9))	\frac{\partial\:}{\partial\:y}(\sqrt{y^{2}-9})
(dy)/(dx)=-(4x+4y)/(4x+9y)	\frac{dy}{dx}=-\frac{4x+4y}{4x+9y}
limit as x approaches 2+of (x-3)/(x^2-4)	\lim\:_{x\to\:2+}(\frac{x-3}{x^{2}-4})
(\partial)/(\partial y)(x^4+8xy^7)	\frac{\partial\:}{\partial\:y}(x^{4}+8xy^{7})
integral of (ln\|x\|)/x	\int\:\frac{\ln\left\|x\right\|}{x}dx
derivative of f(t)=(3t-1)^4(2t+1)^{-3}	derivative\:f(t)=(3t-1)^{4}(2t+1)^{-3}
limit as x approaches 0 of (tan(kx))/x	\lim\:_{x\to\:0}(\frac{\tan(kx)}{x})
integral of z^3e^z	\int\:z^{3}e^{z}dz
derivative of arctan(ln(x^2))	\frac{d}{dx}(\arctan(\ln(x^{2})))
derivative of ln(sqrt(2x))	\frac{d}{dx}(\ln(\sqrt{2x}))
integral of 8/(x+1)	\int\:\frac{8}{x+1}dx
(\partial)/(\partial x)(5/(5x+3y))	\frac{\partial\:}{\partial\:x}(\frac{5}{5x+3y})
inverse oflaplace (10)/(s(s+2)(s+3)^2)	inverselaplace\:\frac{10}{s(s+2)(s+3)^{2}}
limit as x approaches 0-of xsin(1/x)	\lim\:_{x\to\:0-}(x\sin(\frac{1}{x}))
xy^'+y=-5xy^2,y(1)=7	xy^{\prime\:}+y=-5xy^{2},y(1)=7
integral of arccot(2y)	\int\:\arccot(2y)dy
y^'=(xy^3)/(16)	y^{\prime\:}=\frac{xy^{3}}{16}
integral of x^2(4-2x^2)	\int\:x^{2}(4-2x^{2})dx
derivative of f(x)=sqrt(x)(x^3-x)	derivative\:f(x)=\sqrt{x}(x^{3}-x)
derivative of (6x-3/(5x+8))	\frac{d}{dx}(\frac{6x-3}{5x+8})
integral of (4x-11)/(2x^2-11x+15)	\int\:\frac{4x-11}{2x^{2}-11x+15}dx
(\partial)/(\partial y)(2x+arctan(y^2))	\frac{\partial\:}{\partial\:y}(2x+\arctan(y^{2}))
integral of e^{5/2 x}	\int\:e^{\frac{5}{2}x}dx
integral of xcos(4pix^2)	\int\:x\cos(4πx^{2})dx
derivative of x^3(x-1^4)	\frac{d}{dx}(x^{3}(x-1)^{4})

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