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Popular Calculus Problems

integral of x^2-2x+2	\int\:x^{2}-2x+2dx
derivative of f(x)=(1-cos(x))/(sin(x))	derivative\:f(x)=\frac{1-\cos(x)}{\sin(x)}
slope of f(x)=x^2+2x+1	slope\:f(x)=x^{2}+2x+1
integral of (1-x)(e-x+1)	\int\:(1-x)(e-x+1)dx
derivative of 1/(2x^2-2x+1)	\frac{d}{dx}(\frac{1}{2x^{2}-2x+1})
limit as x approaches infinity of pi5^x	\lim\:_{x\to\:\infty\:}(π5^{x})
area y=x^2-2x,y=-x^4	area\:y=x^{2}-2x,y=-x^{4}
derivative of y=7x^3+2	derivative\:y=7x^{3}+2
integral of (t+200)^2	\int\:(t+200)^{2}dt
derivative of (2-xe^x/(x+e^x))	\frac{d}{dx}(\frac{2-xe^{x}}{x+e^{x}})
y^{'''}-3y^{''}+3y^'-y=x-4e^x	y^{\prime\:\prime\:\prime\:}-3y^{\prime\:\prime\:}+3y^{\prime\:}-y=x-4e^{x}
integral of sin(2x-1)	\int\:\sin(2x-1)dx
x^2y^'-xy=y^2	x^{2}y^{\prime\:}-xy=y^{2}
(\partial)/(\partial y)(sqrt(y))	\frac{\partial\:}{\partial\:y}(\sqrt{y})
4/3 xy^'-3/8 y=0	\frac{4}{3}xy^{\prime\:}-\frac{3}{8}y=0
integral of 2xcos(3x)	\int\:2x\cos(3x)dx
derivative of 2xln(3x-4)	derivative\:2x\ln(3x-4)
slope of (-17,-13),(-9,7)	slope\:(-17,-13),(-9,7)
derivative of (ln(5x)/(sqrt(x)))	\frac{d}{dx}(\frac{\ln(5x)}{\sqrt{x}})
integral from 1 to 7 of 1/(36+(x-1)^2)	\int\:_{1}^{7}\frac{1}{36+(x-1)^{2}}dx
integral from-3 to 3 of 1	\int\:_{-3}^{3}1dx
laplacetransform sin(7t)	laplacetransform\:\sin(7t)
(\partial)/(\partial x)(10sqrt(x))	\frac{\partial\:}{\partial\:x}(10\sqrt{x})
integral from-1 to 2 of (3x^2-4x-1)	\int\:_{-1}^{2}(3x^{2}-4x-1)dx
d/(dt)(2t-t^2)	\frac{d}{dt}(2t-t^{2})
integral of (x^2+6)e^{-x}	\int\:(x^{2}+6)e^{-x}dx
integral of 7/(sqrt(x))+7sqrt(x)	\int\:\frac{7}{\sqrt{x}}+7\sqrt{x}dx
(\partial ^2)/(\partial x^2)(ln(x+2y))	\frac{\partial\:^{2}}{\partial\:x^{2}}(\ln(x+2y))
sum from n=1 to infinity of 1/(3n^2+2)	\sum\:_{n=1}^{\infty\:}\frac{1}{3n^{2}+2}
derivative of (2cos(x-3)/(sin(x)))	\frac{d}{dx}(\frac{2\cos(x)-3}{\sin(x)})
limit as x approaches 0 of 1-(cos(5x))/x	\lim\:_{x\to\:0}(1-\frac{\cos(5x)}{x})
slope of (2.3)(4.3)	slope\:(2.3)(4.3)
derivative of-12xsin(x^2-8x^3cos(x^2))	\frac{d}{dx}(-12x\sin(x^{2})-8x^{3}\cos(x^{2}))
limit as x approaches pi of tan(x)	\lim\:_{x\to\:π}(\tan(x))
derivative of y=x^2e^x-2xe^x+7e^x	derivative\:y=x^{2}e^{x}-2xe^{x}+7e^{x}
x^2y^{''}+7xy^'+8y= 6/x	x^{2}y^{\prime\:\prime\:}+7xy^{\prime\:}+8y=\frac{6}{x}
derivative of f(x)=8x^4	derivative\:f(x)=8x^{4}
integral of ((6+6x))/(1+x^2)	\int\:\frac{(6+6x)}{1+x^{2}}dx
integral of x^2cos(x)+2sin(x)	\int\:x^{2}\cos(x)+2\sin(x)dx
integral of 21e^{42x}arctan(e^{21x})	\int\:21e^{42x}\arctan(e^{21x})dx
integral of 7(t^5-t^3+1)	\int\:7(t^{5}-t^{3}+1)dt
slope of (-3.3)(-3.13)	slope\:(-3.3)(-3.13)
derivative of x/(x^3)	derivative\:\frac{x}{x^{3}}
area x^2-2x-1,-1,2	area\:x^{2}-2x-1,-1,2
integral of x^2+y^2+z^2	\int\:x^{2}+y^{2}+z^{2}dx
integral of (6x^3-8x)/(x^4-16)	\int\:\frac{6x^{3}-8x}{x^{4}-16}dx
integral from 0 to 6 of (5t)/((t-7)^2)	\int\:_{0}^{6}\frac{5t}{(t-7)^{2}}dt
integral of 1/((4-x^2)^3)	\int\:\frac{1}{(4-x^{2})^{3}}dx
integral of ln(x+1)x	\int\:\ln(x+1)xdx
(\partial)/(\partial v)(u/(u+v))	\frac{\partial\:}{\partial\:v}(\frac{u}{u+v})
y^'=e^{6x}-4x	y^{\prime\:}=e^{6x}-4x
tangent of f(x)=x^2-3x+1,\at x=1	tangent\:f(x)=x^{2}-3x+1,\at\:x=1
(\partial)/(\partial x)(x^2-4xy+y^3+4y)	\frac{\partial\:}{\partial\:x}(x^{2}-4xy+y^{3}+4y)
derivative of (-200ln(f/(40)))/((f+20))	derivative\:\frac{-200\ln(\frac{f}{40})}{(f+20)}
derivative of y/(1+x^2)	\frac{d}{dx}(\frac{y}{1+x^{2}})
integral from 1 to infinity of 1/(n^2)	\int\:_{1}^{\infty\:}\frac{1}{n^{2}}
area x,2-x,0	area\:x,2-x,0
derivative of e^{-t^2}	derivative\:e^{-t^{2}}
limit as x approaches 0 of (2x-2)/x	\lim\:_{x\to\:0}(\frac{2x-2}{x})
(\partial)/(\partial y)(1+x^4+y^4)	\frac{\partial\:}{\partial\:y}(1+x^{4}+y^{4})
y^{''}+y=2xe^x	y^{\prime\:\prime\:}+y=2xe^{x}
derivative of ln(6-x)	\frac{d}{dx}(\ln(6-x))
derivative of ((x^2-8x+15)/(x^2+3x+2))	\frac{d}{dx}(\frac{(x^{2}-8x+15)}{x^{2}+3x+2})
(\partial)/(\partial x)(4x^2y^3)	\frac{\partial\:}{\partial\:x}(4x^{2}y^{3})
integral of (4x)/(sqrt(4x^4+9))	\int\:\frac{4x}{\sqrt{4x^{4}+9}}dx
integral of ((sqrt(x)-b)^2)/(sqrt(x))	\int\:\frac{(\sqrt{x}-b)^{2}}{\sqrt{x}}dx
integral from-1 to 1 of (x+1)^2	\int\:_{-1}^{1}(x+1)^{2}dx
integral of 700xsqrt(3+2x)	\int\:700x\sqrt{3+2x}dx
integral from 1 to 3 of 7/(x^2)	\int\:_{1}^{3}\frac{7}{x^{2}}dx
d/(dt)(y+{v}(t)t+(a/2)t^2)	\frac{d}{dt}(y+{v}(t)\cdot\:t+(\frac{a}{2})\cdot\:t^{2})
integral from 0 to 2 of xsqrt(2-x)	\int\:_{0}^{2}x\sqrt{2-x}dx
derivative of (e^x/(1+x^2))	\frac{d}{dx}(\frac{e^{x}}{1+x^{2}})
integral from 1 to 6 of 2/(x^3)	\int\:_{1}^{6}\frac{2}{x^{3}}dx
tangent of 6-4x^2	tangent\:6-4x^{2}
(dy)/(dx)-2/3 xy= 1/3 y^3	\frac{dy}{dx}-\frac{2}{3}xy=\frac{1}{3}y^{3}
integral of 4x^4(27+x^5)^{1/3}	\int\:4x^{4}(27+x^{5})^{\frac{1}{3}}dx
integral of tsin(x)	\int\:t\sin(x)dx
integral from-2 to 3 of (-x^2+x+6)	\int\:_{-2}^{3}(-x^{2}+x+6)dx
integral of 0.1x	\int\:0.1xdx
integral of (sin^2(sqrt(x)))/(sqrt(x))	\int\:\frac{\sin^{2}(\sqrt{x})}{\sqrt{x}}dx
limit as x approaches-infinity of 4x^2	\lim\:_{x\to\:-\infty\:}(4x^{2})
derivative of (x^3+sin(x))/(7x-cot(x))	derivative\:\frac{x^{3}+\sin(x)}{7x-\cot(x)}
integral of 2(e^{2t}+2)	\int\:2(e^{2t}+2)dt
y^'+1/3 y=e^xy^4	y^{\prime\:}+\frac{1}{3}y=e^{x}y^{4}
(\partial)/(\partial x)(7cos(ye^{xy})sin(x))	\frac{\partial\:}{\partial\:x}(7\cos(ye^{xy})\sin(x))
laplacetransform sin(t)*sin(3t)	laplacetransform\:\sin(t)\cdot\:\sin(3t)
integral of xsin^2(4x)	\int\:x\sin^{2}(4x)dx
area y=\|x-3\|,y= x/2 ,y=0	area\:y=\left\|x-3\right\|,y=\frac{x}{2},y=0
integral of 7x^2e^x	\int\:7x^{2}e^{x}dx
derivative of 4x^5ln(x)	derivative\:4x^{5}\ln(x)
derivative of 3-4x	\frac{d}{dx}(3-4x)
laplacetransform-4	laplacetransform\:-4
f(x)=e^{x^2-4}+2x+9	f(x)=e^{x^{2}-4}+2x+9
integral of e^{i8x}cos(3x)	\int\:e^{i8x}\cos(3x)dx
integral from 1 to 2 of (x/2-2/x)	\int\:_{1}^{2}(\frac{x}{2}-\frac{2}{x})dx
inverse oflaplace (5e^{-s})/((s^2-2s+1))	inverselaplace\:\frac{5e^{-s}}{(s^{2}-2s+1)}
integral of (10x)/(4x^2+1)	\int\:\frac{10x}{4x^{2}+1}dx
(\partial)/(\partial x)(x^8y^6+3x^7y)	\frac{\partial\:}{\partial\:x}(x^{8}y^{6}+3x^{7}y)
integral of (x^2sqrt(x-5))	\int\:(x^{2}\sqrt{x-5})dx
limit as x approaches 0+of (7x)/(sin(x))	\lim\:_{x\to\:0+}(\frac{7x}{\sin(x)})

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