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Popular Calculus Problems

(\partial)/(\partial x)(x^2-8x+y^2*ln(x-1))	\frac{\partial\:}{\partial\:x}(x^{2}-8x+y^{2}\cdot\:\ln(x-1))
integral of x^{-a}	\int\:x^{-a}dx
limit as x approaches 1 of (x^3-x)/(x-1)	\lim\:_{x\to\:1}(\frac{x^{3}-x}{x-1})
limit as x approaches 0 of-1/(3x^3)	\lim\:_{x\to\:0}(-\frac{1}{3x^{3}})
integral of 3cos(4x)	\int\:3\cos(4x)dx
y^'-x/(1+x^2)y=x	y^{\prime\:}-\frac{x}{1+x^{2}}y=x
y^{''}+4y=6sin(2x)	y^{\prime\:\prime\:}+4y=6\sin(2x)
(5x+13y)dx+(13x+6y)dy=0,y(0)=2	(5x+13y)dx+(13x+6y)dy=0,y(0)=2
derivative of-e^x(x+5)	\frac{d}{dx}(-e^{x}(x+5))
integral of sec(2)(x)	\int\:\sec(2)(x)dx
(d^2)/(dx^2)(5-x^2)	\frac{d^{2}}{dx^{2}}(5-x^{2})
derivative of (5x-1)/(x+5)	derivative\:\frac{5x-1}{x+5}
(\partial)/(\partial x)(16sqrt(3x)+2y)	\frac{\partial\:}{\partial\:x}(16\sqrt{3x}+2y)
integral of 1/((x+1)(2x+1)^2)	\int\:\frac{1}{(x+1)(2x+1)^{2}}dx
tangent of x^3-3x^2-9x+11,\at x=3	tangent\:x^{3}-3x^{2}-9x+11,\at\:x=3
integral of (cos(θ))^2	\int\:(\cos(θ))^{2}dθ
limit as x approaches 6 of sqrt(x^3+3x)	\lim\:_{x\to\:6}(\sqrt{x^{3}+3x})
integral of (2+1/x)^2	\int\:(2+\frac{1}{x})^{2}dx
derivative of (x^2+8^4)	\frac{d}{dx}((x^{2}+8)^{4})
maclaurin f(x)=arctan(3x)	maclaurin\:f(x)=\arctan(3x)
integral of (cos(x))/(sin^{16)(x)}	\int\:\frac{\cos(x)}{\sin^{16}(x)}dx
derivative of x/(x+7)	derivative\:\frac{x}{x+7}
sum from n=0 to infinity of 1/((2n+1))	\sum\:_{n=0}^{\infty\:}\frac{1}{(2n+1)}
derivative of sqrt(1-e^{cos(1-x^2)})	\frac{d}{dx}(\sqrt{1-e^{\cos(1-x^{2})}})
derivative of y=arcsin(x^2)	derivative\:y=\arcsin(x^{2})
integral from 1 to infinity of x^{-9}	\int\:_{1}^{\infty\:}x^{-9}dx
derivative of-x^3+3x^2-3x	\frac{d}{dx}(-x^{3}+3x^{2}-3x)
derivative of f(x)=(x+1)(-1/(x+2))	derivative\:f(x)=(x+1)(-\frac{1}{x+2})
(\partial)/(\partial x)(3arctan(xy^2))	\frac{\partial\:}{\partial\:x}(3\arctan(xy^{2}))
(cos(θ))^'	(\cos(θ))^{\prime\:}
integral from-1 to 3 of (u^3+u)	\int\:_{-1}^{3}(u^{3}+u)du
tangent of y=x^2-5x	tangent\:y=x^{2}-5x
inverse oflaplace 4/(s(s+2)^2)	inverselaplace\:\frac{4}{s(s+2)^{2}}
derivative of log_{5}(tan(x))	\frac{d}{dx}(\log_{5}(\tan(x)))
limit as x approaches 4-of cx^2+3x	\lim\:_{x\to\:4-}(cx^{2}+3x)
integral of 2x^3-20x^{-5}	\int\:2x^{3}-20x^{-5}dx
sum from n=0 to infinity of (2^n)/(8^n)	\sum\:_{n=0}^{\infty\:}\frac{2^{n}}{8^{n}}
derivative of 4x+3/x	\frac{d}{dx}(4x+\frac{3}{x})
inverse oflaplace (e^{-s})/(s^2+1)	inverselaplace\:\frac{e^{-s}}{s^{2}+1}
derivative of 8x-3/x	\frac{d}{dx}(8x-\frac{3}{x})
derivative of e^xx^2-e^x	\frac{d}{dx}(e^{x}x^{2}-e^{x})
integral of (8-128x)/(sqrt(81-64x^2))	\int\:\frac{8-128x}{\sqrt{81-64x^{2}}}dx
derivative of sqrt(3x-8)	\frac{d}{dx}(\sqrt{3x-8})
integral of (x^3+x^2-x+1)/x	\int\:\frac{x^{3}+x^{2}-x+1}{x}dx
derivative of e^{x^3ln(x})	\frac{d}{dx}(e^{x^{3}\ln(x)})
(\partial)/(\partial x)(3x^2y^4+3)	\frac{\partial\:}{\partial\:x}(3x^{2}y^{4}+3)
f(x)=(cos(2x)ln(x))/(x-5)	f(x)=\frac{\cos(2x)\ln(x)}{x-5}
integral of x*e^{6x}	\int\:x\cdot\:e^{6x}dx
area 2(x-1)^2+50,3(x+3)^2+2	area\:2(x-1)^{2}+50,3(x+3)^{2}+2
integral of x^2-5x	\int\:x^{2}-5xdx
integral from 0 to infinity of 4sin^2(x)	\int\:_{0}^{\infty\:}4\sin^{2}(x)dx
integral of (1-x^2)	\int\:(1-x^{2})dx
integral of sin(x)sin(t-x)	\int\:\sin(x)\sin(t-x)dx
area y=x^7,0,4	area\:y=x^{7},0,4
integral of 1/((3-5x)^2)	\int\:\frac{1}{(3-5x)^{2}}dx
integral of (x^2)/(sqrt(81-x^2))	\int\:\frac{x^{2}}{\sqrt{81-x^{2}}}dx
integral of 1/(x(1+x^3))	\int\:\frac{1}{x(1+x^{3})}dx
area y=5sqrt(x),y=4,2y+x=6	area\:y=5\sqrt{x},y=4,2y+x=6
integral from 0 to 1 of xsqrt(1+x^2)	\int\:_{0}^{1}x\sqrt{1+x^{2}}dx
derivative of x^6(1-1/(x+5))	derivative\:x^{6}(1-\frac{1}{x+5})
integral from 1 to 8 of (7ln(x))/(x^2)	\int\:_{1}^{8}\frac{7\ln(x)}{x^{2}}dx
limit as x approaches 2 of 1/x-1/(x^2)	\lim\:_{x\to\:2}(\frac{1}{x}-\frac{1}{x^{2}})
derivative of pi/6	derivative\:\frac{π}{6}
integral of (x-2)/(x^3-x^2)	\int\:\frac{x-2}{x^{3}-x^{2}}dx
derivative of cotan(x)	\frac{d}{dx}(co\tan(x))
derivative of 39.25(10.13)^t	derivative\:39.25(10.13)^{t}
tangent of f(x)=6x^2,\at x=10	tangent\:f(x)=6x^{2},\at\:x=10
inverse oflaplace (48)/((s+2)(s^2+16))	inverselaplace\:\frac{48}{(s+2)(s^{2}+16)}
limit as x approaches 1 of 3x^4-3x^2+6	\lim\:_{x\to\:1}(3x^{4}-3x^{2}+6)
integral from 0 to 2 of x/(sqrt(4-x^2))	\int\:_{0}^{2}\frac{x}{\sqrt{4-x^{2}}}dx
area x=y^2-12,x=y	area\:x=y^{2}-12,x=y
derivative of e^{3x^2}	derivative\:e^{3x^{2}}
limit as x approaches 1 of ((sin(pix)))/(sin(3pix))	\lim\:_{x\to\:1}(\frac{(\sin(πx))}{\sin(3πx)})
taylor e^{2z}	taylor\:e^{2z}
integral of 28arctan(sqrt(x))	\int\:28\arctan(\sqrt{x})dx
derivative of 2ye^{-x}	\frac{d}{dx}(2ye^{-x})
(dy)/(dx)=((1-x-y))/(x+y)	\frac{dy}{dx}=\frac{(1-x-y)}{x+y}
derivative of x^2-4xy+4y^2+2	\frac{d}{dx}(x^{2}-4xy+4y^{2}+2)
integral from 0 to x of sqrt(cos(2t))	\int\:_{0}^{x}\sqrt{\cos(2t)}dt
integral of 4(ln(x))/x	\int\:4\frac{\ln(x)}{x}dx
derivative of (4x)/(9-tan(x))	derivative\:\frac{4x}{9-\tan(x)}
limit as x approaches e of ln(x)	\lim\:_{x\to\:e}(\ln(x))
integral from-1/3 to 1/3 of 1/(1+9x^2)	\int\:_{-\frac{1}{3}}^{\frac{1}{3}}\frac{1}{1+9x^{2}}dx
y^'=(2xy)/(x^2+1),y(1)=6	y^{\prime\:}=\frac{2xy}{x^{2}+1},y(1)=6
integral of tan^3(2x)sec^3(2x)	\int\:\tan^{3}(2x)\sec^{3}(2x)dx
derivative of x^3-3x+4	\frac{d}{dx}(x^{3}-3x+4)
(\partial)/(\partial y)(xcos(y/z))	\frac{\partial\:}{\partial\:y}(x\cos(\frac{y}{z}))
integral of 1/(cos(x)sin(x))	\int\:\frac{1}{\cos(x)\sin(x)}dx
(y^')/3 =x^2y,y(0)=-8	\frac{y^{\prime\:}}{3}=x^{2}y,y(0)=-8
x(dx)/(dt)+bt=0	x\frac{dx}{dt}+bt=0
(\partial)/(\partial x)(2ycos^2(x))	\frac{\partial\:}{\partial\:x}(2y\cos^{2}(x))
integral from 0 to 6 of 4x-2x^2	\int\:_{0}^{6}4x-2x^{2}dx
integral of x(3-x^2)^2	\int\:x(3-x^{2})^{2}dx
limit as x approaches 3 of 1/(x-3)+2	\lim\:_{x\to\:3}(\frac{1}{x-3}+2)
4t(dy)/(dt)+y=t^2	4t\frac{dy}{dt}+y=t^{2}
derivative of f(x)=72x^3(3x^4+7)^5	derivative\:f(x)=72x^{3}(3x^{4}+7)^{5}
derivative of f(x)= x/(4x+5)	derivative\:f(x)=\frac{x}{4x+5}
sum from n=1 to infinity of 8/(n^3)	\sum\:_{n=1}^{\infty\:}\frac{8}{n^{3}}
derivative of 1-\sqrt[3]{x^2+y^2}	\frac{d}{dx}(1-\sqrt[3]{x^{2}+y^{2}})
integral of sec^3(pi)x	\int\:\sec^{3}(π)xdx

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