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Popular Calculus Problems

derivative of f(x)=7e^x+4/(\sqrt[3]{x)}	derivative\:f(x)=7e^{x}+\frac{4}{\sqrt[3]{x}}
derivative of 3x-sin(x)	\frac{d}{dx}(3x-\sin(x))
integral of 1/(7-7x)	\int\:\frac{1}{7-7x}dx
integral of (x^2+x+2)/(x^4+5x^2+4)	\int\:\frac{x^{2}+x+2}{x^{4}+5x^{2}+4}dx
integral of 6x^5-8x^4-9x^2	\int\:6x^{5}-8x^{4}-9x^{2}dx
y^'=2te^{7y}	y^{\prime\:}=2te^{7y}
integral of xe^{-4x}	\int\:xe^{-4x}dx
derivative of f(x)=(-3)/(x^4)	derivative\:f(x)=\frac{-3}{x^{4}}
integral from 4 to 69 of 1/(x^3-64)	\int\:_{4}^{69}\frac{1}{x^{3}-64}dx
limit as x approaches 0 of x^2+4	\lim\:_{x\to\:0}(x^{2}+4)
derivative of f(x)=e^x(3x^2-6x+6)	derivative\:f(x)=e^{x}(3x^{2}-6x+6)
y^'=(t+y)^2-1,y(1)=5	y^{\prime\:}=(t+y)^{2}-1,y(1)=5
derivative of 2/(x^2-4)	\frac{d}{dx}(\frac{2}{x^{2}-4})
derivative of e^xarcsin(x)	\frac{d}{dx}(e^{x}\arcsin(x))
integral from-2 to 3 of x	\int\:_{-2}^{3}xdx
integral from 0 to 2 of (x^2-3x)	\int\:_{0}^{2}(x^{2}-3x)dx
derivative of (x^2-7x+10/(3x^2-15x))	\frac{d}{dx}(\frac{x^{2}-7x+10}{3x^{2}-15x})
tangent of f(x)=(2x+5)/(5x-1),\at x=-1	tangent\:f(x)=\frac{2x+5}{5x-1},\at\:x=-1
integral of (x^2+6x)/(x^3-x^2+x-1)	\int\:\frac{x^{2}+6x}{x^{3}-x^{2}+x-1}dx
limit as x approaches 2 of (x+1)*(x+3)	\lim\:_{x\to\:2}((x+1)\cdot\:(x+3))
(\partial)/(\partial x)(xe^{-x}(a+bx+cx^2))	\frac{\partial\:}{\partial\:x}(xe^{-x}(a+bx+cx^{2}))
(\partial)/(\partial x)(x^3y^2-2xy^3)	\frac{\partial\:}{\partial\:x}(x^{3}y^{2}-2xy^{3})
limit as x approaches 2 of 1/(x^2-4)	\lim\:_{x\to\:2}(\frac{1}{x^{2}-4})
derivative of (x^2-3)(x^3-2x)	derivative\:(x^{2}-3)(x^{3}-2x)
integral from 3 to 9 of sqrt(1+x^4+2x^2)	\int\:_{3}^{9}\sqrt{1+x^{4}+2x^{2}}dx
derivative of y=\sqrt[3]{1+7x}	derivative\:y=\sqrt[3]{1+7x}
integral of (b-x)^2	\int\:(b-x)^{2}dx
derivative of 18x^2	\frac{d}{dx}(18x^{2})
derivative of sqrt(8x^2+2x-3)	\frac{d}{dx}(\sqrt{8x^{2}+2x-3})
derivative of (x^2/(x^2-49))	\frac{d}{dx}(\frac{x^{2}}{x^{2}-49})
integral from 1 to 4 of x^2+1/(4x^2)	\int\:_{1}^{4}x^{2}+\frac{1}{4x^{2}}dx
integral of (e^x)/(a+be^x)	\int\:\frac{e^{x}}{a+be^{x}}dx
(3+x^2)y^'-2xy=0	(3+x^{2})y^{\prime\:}-2xy=0
integral from 0 to 1 of xsqrt(x^2+1)	\int\:_{0}^{1}x\sqrt{x^{2}+1}dx
integral of (2x^3-x^2+3x-7)	\int\:(2x^{3}-x^{2}+3x-7)dx
integral from 0 to 2 of 5	\int\:_{0}^{2}5dx
integral of 1/(7x^7)	\int\:\frac{1}{7x^{7}}dx
derivative of sin(4x+2x^{3/2})	\frac{d}{dx}(\sin(4x)+2x^{\frac{3}{2}})
taylor sin(x),x= pi/4	taylor\:\sin(x),x=\frac{π}{4}
derivative of (ln(x)dx)	\frac{d}{dx}((\ln(x))dx)
limit as x approaches-1+of sqrt(2x+2)	\lim\:_{x\to\:-1+}(\sqrt{2x+2})
integral of e^x*cos(x/2)	\int\:e^{x}\cdot\:\cos(\frac{x}{2})dx
derivative of 5e^x+2/(\sqrt[3]{x)}	derivative\:5e^{x}+\frac{2}{\sqrt[3]{x}}
integral of 1/(e^{x^2)}	\int\:\frac{1}{e^{x^{2}}}dx
integral of 1/(sqrt(t^2-4t+40))	\int\:\frac{1}{\sqrt{t^{2}-4t+40}}dt
integral of (20-20x)/(1-sqrt(x))	\int\:\frac{20-20x}{1-\sqrt{x}}dx
integral of ln(5-x)	\int\:\ln(5-x)dx
tangent of f(x)=2x^2-7x+5	tangent\:f(x)=2x^{2}-7x+5
integral of (x^3+2x^2-18x+2)/(x^2+x-12)	\int\:\frac{x^{3}+2x^{2}-18x+2}{x^{2}+x-12}dx
(x^2+1)(dy)/(dx)+3x(y-1)=0,y(0)=7	(x^{2}+1)\frac{dy}{dx}+3x(y-1)=0,y(0)=7
limit as x approaches 1 of-2x+3	\lim\:_{x\to\:1}(-2x+3)
laplacetransform (t+2)^2	laplacetransform\:(t+2)^{2}
integral of 9xe^{3x}	\int\:9xe^{3x}dx
limit as x approaches-2-of (-2)/(x^2-4)	\lim\:_{x\to\:-2-}(\frac{-2}{x^{2}-4})
derivative of Asin(2x+Bcos(2x))	\frac{d}{dx}(A\sin(2x)+B\cos(2x))
slope of y=12cos(x)	slope\:y=12\cos(x)
d/(dt)(kt)	\frac{d}{dt}(kt)
integral from-1 to 3 of 6x^2	\int\:_{-1}^{3}6x^{2}dx
tangent of e^{-x^2}	tangent\:e^{-x^{2}}
derivative of (e^x)/(6x^2+7)	derivative\:\frac{e^{x}}{6x^{2}+7}
tangent of f(x)=5x^{3/2}-2x,(1,3)	tangent\:f(x)=5x^{\frac{3}{2}}-2x,(1,3)
sum from n=0 to infinity of (0.5^n)/(n!)	\sum\:_{n=0}^{\infty\:}\frac{0.5^{n}}{n!}
integral of 8x^{1/3}	\int\:8x^{\frac{1}{3}}dx
(\partial)/(\partial x)(ye^x-3x-y+5)	\frac{\partial\:}{\partial\:x}(ye^{x}-3x-y+5)
limit as x approaches 0-of (x^2-x)/(\|x\|)	\lim\:_{x\to\:0-}(\frac{x^{2}-x}{\left\|x\right\|})
limit as t approaches 0 of 3	\lim\:_{t\to\:0}(3)
derivative of y=(3x^4+7)/(x^2)	derivative\:y=\frac{3x^{4}+7}{x^{2}}
integral from 1 to sqrt(3 of)x2^{x^2}	\int\:_{1}^{\sqrt{3}}x2^{x^{2}}dx
x^2dy+ydx=dx	x^{2}dy+ydx=dx
integral of xe^{6x^2}	\int\:xe^{6x^{2}}dx
integral of 1/(sin(x)+tan(x))	\int\:\frac{1}{\sin(x)+\tan(x)}dx
derivative of isin(x)	\frac{d}{dx}(i\sin(x))
derivative of arccot(10x)	\frac{d}{dx}(\arccot(10x))
y^{''}=(y^')^2	y^{\prime\:\prime\:}=(y^{\prime\:})^{2}
integral from 0 to ln(9) of xe^x	\int\:_{0}^{\ln(9)}xe^{x}dx
x((dy)/(dx))+y=e^x,y(1)=2	x(\frac{dy}{dx})+y=e^{x},y(1)=2
derivative of ln(x^{1/3})	\frac{d}{dx}(\ln(x^{\frac{1}{3}}))
derivative of cos(x(1+sin(x)^{10}))	\frac{d}{dx}(\cos(x(1+\sin(x))^{10}))
derivative of (x-8/(x^2-4))	\frac{d}{dx}(\frac{x-8}{x^{2}-4})
slope of x^2+xy-y^2=3,(5,3)	slope\:x^{2}+xy-y^{2}=3,(5,3)
inverse oflaplace 1/(s^2-6s+10)	inverselaplace\:\frac{1}{s^{2}-6s+10}
f(x)=2cos(x^3)-2/x	f(x)=2\cos(x^{3})-\frac{2}{x}
derivative of 6x^5y	\frac{d}{dx}(6x^{5}y)
derivative of sqrt(x^3+1)	derivative\:\sqrt{x^{3}+1}
f(p)=sqrt(325-3p)	f(p)=\sqrt{325-3p}
integral of sqrt(8x+4)	\int\:\sqrt{8x+4}dx
(dy)/y =xdx	\frac{dy}{y}=xdx
integral from-2 to 2 of (sqrt(4-x^2))	\int\:_{-2}^{2}(\sqrt{4-x^{2}})dx
integral of 20tan^4(x)	\int\:20\tan^{4}(x)dx
area-x^2+4x+3,-x+3	area\:-x^{2}+4x+3,-x+3
derivative of (6x/(9-cot(x)))	\frac{d}{dx}(\frac{6x}{9-\cot(x)})
integral of x^{1/3}(2-x)^2	\int\:x^{\frac{1}{3}}(2-x)^{2}dx
derivative of x^2+5x+2	derivative\:x^{2}+5x+2
integral of 8y^{-5}	\int\:8y^{-5}dy
integral of 4x^3+e^x+C	\int\:4x^{3}+e^{x}+Cdx
tangent of f(x)=(6x)/(x^2+1),(-1,-3)	tangent\:f(x)=\frac{6x}{x^{2}+1},(-1,-3)
integral of r*e^{-r^2}	\int\:r\cdot\:e^{-r^{2}}dr
integral of (sqrt(16-x^2))/x	\int\:\frac{\sqrt{16-x^{2}}}{x}dx
integral from-1 to 0 of 8(e^{1/x})/(x^3)	\int\:_{-1}^{0}8\frac{e^{\frac{1}{x}}}{x^{3}}dx
y^'=-(xy)/(x^2+y^2)	y^{\prime\:}=-\frac{xy}{x^{2}+y^{2}}

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