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Popular Calculus Problems

derivative of f(x)=3arccos(x/2)	derivative\:f(x)=3\arccos(\frac{x}{2})
derivative of (3x/(5x^2-2x-9))	\frac{d}{dx}(\frac{3x}{5x^{2}-2x-9})
area y=x^2-18,y=17x	area\:y=x^{2}-18,y=17x
integral from e to e^8 of 1/(xln(x^7))	\int\:_{e}^{e^{8}}\frac{1}{x\ln(x^{7})}dx
(dy)/(dx)=e^{-x}+y	\frac{dy}{dx}=e^{-x}+y
(dy)/(dx)=3x^2-7	\frac{dy}{dx}=3x^{2}-7
area x,4x,-x+2	area\:x,4x,-x+2
integral of 1/(25+9x^2)	\int\:\frac{1}{25+9x^{2}}dx
(\partial)/(\partial x)(3ln(x^2+y^2))	\frac{\partial\:}{\partial\:x}(3\ln(x^{2}+y^{2}))
derivative of sin(-1(2x+1))	\frac{d}{dx}(\sin(-1(2x+1)))
integral of-sec^2((3x)/2)	\int\:-\sec^{2}(\frac{3x}{2})dx
derivative of (ln(2x)/(sqrt(x)))	\frac{d}{dx}(\frac{\ln(2x)}{\sqrt{x}})
integral from 0 to pi/2 of x*sin(x)	\int\:_{0}^{\frac{π}{2}}x\cdot\:\sin(x)dx
integral of (10)/(r^2+1)	\int\:\frac{10}{r^{2}+1}dr
area y=8-8x^2,y=0	area\:y=8-8x^{2},y=0
derivative of 6x^9e^x	derivative\:6x^{9}e^{x}
derivative of (1-x-x^3(1-x+x^3))	\frac{d}{dx}((1-x-x^{3})(1-x+x^{3}))
(\partial)/(\partial x)(ln(y-x)-x/(y-x))	\frac{\partial\:}{\partial\:x}(\ln(y-x)-\frac{x}{y-x})
derivative of 40320x	\frac{d}{dx}(40320x)
integral from-6 to-10 of 1/(x+2)	\int\:_{-6}^{-10}\frac{1}{x+2}dx
tangent of f(x)=x^2-5,(3,4)	tangent\:f(x)=x^{2}-5,(3,4)
derivative of y= 1/(x^7)	derivative\:y=\frac{1}{x^{7}}
tangent of f(x)=x^2-1/x ,(-1,2)	tangent\:f(x)=x^{2}-\frac{1}{x},(-1,2)
limit as h approaches 0 of ((h+2)^2-4)/h	\lim\:_{h\to\:0}(\frac{(h+2)^{2}-4}{h})
tangent of y=(2x)/(x+5),(5,1)	tangent\:y=\frac{2x}{x+5},(5,1)
(d^2)/(dx^2)(3x^2-5y^2)	\frac{d^{2}}{dx^{2}}(3x^{2}-5y^{2})
derivative of 1+6sqrt(x)	\frac{d}{dx}(1+6\sqrt{x})
derivative of x-2	derivative\:x-2
derivative of (sqrt(x)/(x+y))	\frac{d}{dx}(\frac{\sqrt{x}}{x+y})
derivative of 2/(ln(x))	derivative\:\frac{2}{\ln(x)}
limit as x approaches 2 of (x^2+2)/(x-2)	\lim\:_{x\to\:2}(\frac{x^{2}+2}{x-2})
integral from 0 to 2 of-2xsqrt(4-x^2)	\int\:_{0}^{2}-2x\sqrt{4-x^{2}}dx
derivative of 13xe^x	derivative\:13xe^{x}
limit as x approaches 0 of 14x+7h	\lim\:_{x\to\:0}(14x+7h)
integral of 2xarctan(x)	\int\:2x\arctan(x)dx
(dy)/(dx)= x/(10y)	\frac{dy}{dx}=\frac{x}{10y}
tangent of y=2x^3-x^2+1,(2,13)	tangent\:y=2x^{3}-x^{2}+1,(2,13)
derivative of (pisqrt(8100+x^2)/x)	\frac{d}{dx}(\frac{π\sqrt{8100+x^{2}}}{x})
derivative of 4/(x+10)	derivative\:\frac{4}{x+10}
limit as x approaches+1+of 5/(x^3-1)	\lim\:_{x\to\:+1+}(\frac{5}{x^{3}-1})
area f(x)=8x+2x^2-x^3,g(x)=0	area\:f(x)=8x+2x^{2}-x^{3},g(x)=0
integral of (sec(y))/(cotan(y))	\int\:\frac{\sec(y)}{co\tan(y)}dy
2xyy^'=y^2-x^2	2xyy^{\prime\:}=y^{2}-x^{2}
limit as h approaches 0 of-2x-h+4	\lim\:_{h\to\:0}(-2x-h+4)
integral of zsqrt(z^2-5)	\int\:z\sqrt{z^{2}-5}dz
xyy^'=2(2x^2+y^2)	xyy^{\prime\:}=2(2x^{2}+y^{2})
derivative of 0.0018425(t+7)^{4.5}	derivative\:0.0018425(t+7)^{4.5}
derivative of y=x^2ln(2x)	derivative\:y=x^{2}\ln(2x)
integral of (1-x)/(sqrt(x))	\int\:\frac{1-x}{\sqrt{x}}dx
derivative of 3x^2+2/x	\frac{d}{dx}(3x^{2}+\frac{2}{x})
derivative of sqrt(2x-y)	\frac{d}{dx}(\sqrt{2x-y})
integral of x^2-y^2	\int\:x^{2}-y^{2}dx
limit as x approaches 2+of sqrt(x/(x-2))	\lim\:_{x\to\:2+}(\sqrt{\frac{x}{x-2}})
limit as x approaches 4 of 3x-1	\lim\:_{x\to\:4}(3x-1)
derivative of ((x^3-x))/(1+x^2)	derivative\:\frac{(x^{3}-x)}{1+x^{2}}
derivative of ((1+16t^2))/((4t)^3)	derivative\:\frac{(1+16t^{2})}{(4t)^{3}}
(\partial)/(\partial y)(4x^3y^3-3)	\frac{\partial\:}{\partial\:y}(4x^{3}y^{3}-3)
integral from-1 to 1 of x^2sqrt(x^3+1)	\int\:_{-1}^{1}x^{2}\sqrt{x^{3}+1}dx
integral of (x^2+3x)/(sqrt(x+4))	\int\:\frac{x^{2}+3x}{\sqrt{x+4}}dx
integral of ((e^{4x}-5)/(e^{2x)})	\int\:(\frac{e^{4x}-5}{e^{2x}})dx
y^'-5/x y=(y^5)/(x^3),y(1)=1	y^{\prime\:}-\frac{5}{x}y=\frac{y^{5}}{x^{3}},y(1)=1
derivative of f(x)=(x^2-5)^2	derivative\:f(x)=(x^{2}-5)^{2}
integral from-2 to-1 of (15x^{-4})	\int\:_{-2}^{-1}(15x^{-4})dx
integral of 3x^2sqrt(x^3+2)	\int\:3x^{2}\sqrt{x^{3}+2}dx
integral from 0 to 3 of 3x-5	\int\:_{0}^{3}3x-5dx
derivative of (x^2+2^7)	\frac{d}{dx}((x^{2}+2)^{7})
d/(dt)(2arctan(t))	\frac{d}{dt}(2\arctan(t))
x^'=x^2e^{-2t}	x^{\prime\:}=x^{2}e^{-2t}
integral from 0 to 1 of (x-e^x)^2	\int\:_{0}^{1}(x-e^{x})^{2}dx
integral of 1/((t+1)^2)	\int\:\frac{1}{(t+1)^{2}}dt
integral from 0 to 1 of 3/(sqrt(1-x^2))	\int\:_{0}^{1}\frac{3}{\sqrt{1-x^{2}}}dx
derivative of f(x)=3x+sqrt(3x)	derivative\:f(x)=3x+\sqrt{3x}
limit as x approaches 0 of (\|x-2\|)/x	\lim\:_{x\to\:0}(\frac{\left\|x-2\right\|}{x})
integral of x^{15}e^{x^{16}}	\int\:x^{15}e^{x^{16}}dx
integral of sin^2(u)cos(u)	\int\:\sin^{2}(u)\cos(u)du
integral of sqrt(25+4x^2)	\int\:\sqrt{25+4x^{2}}dx
integral of ((3Inx-5)^4)/x	\int\:\frac{(3Inx-5)^{4}}{x}dx
integral of 7/(x^2+1)	\int\:\frac{7}{x^{2}+1}dx
integral from 6 to 4 of ((-1)/2 x+3)	\int\:_{6}^{4}(\frac{-1}{2}x+3)dx
limit as x approaches 0 of ((\|x\|))/x	\lim\:_{x\to\:0}(\frac{(\left\|x\right\|)}{x})
integral of (ln(x))^2x	\int\:(\ln(x))^{2}xdx
y^{''}+4y=3csc^2(2t)	y^{\prime\:\prime\:}+4y=3\csc^{2}(2t)
integral of (x^2+x-2)/((x+2)(x-5)(x+1))	\int\:\frac{x^{2}+x-2}{(x+2)(x-5)(x+1)}dx
(\partial)/(\partial x)(2sin(xy))	\frac{\partial\:}{\partial\:x}(2\sin(xy))
derivative of f(x)=-x^3+15x^2-48x+450	derivative\:f(x)=-x^{3}+15x^{2}-48x+450
limit as x approaches 1 of-2/(x^2-1)	\lim\:_{x\to\:1}(-\frac{2}{x^{2}-1})
(\partial)/(\partial x)((x^2)/(x^2-1))	\frac{\partial\:}{\partial\:x}(\frac{x^{2}}{x^{2}-1})
tangent of f(x)=4sqrt(x),\at x=1	tangent\:f(x)=4\sqrt{x},\at\:x=1
(\partial)/(\partial x)(2x^2-16x+y^2+1)	\frac{\partial\:}{\partial\:x}(2x^{2}-16x+y^{2}+1)
(\partial)/(\partial x)(e^tx+1)	\frac{\partial\:}{\partial\:x}(e^{t}x+1)
derivative of y=4e^x+4/(\sqrt[3]{x)}	derivative\:y=4e^{x}+\frac{4}{\sqrt[3]{x}}
integral of x^2e^{x-3}	\int\:x^{2}e^{x-3}dx
limit as x approaches 0 of sin(x)-cos(x)	\lim\:_{x\to\:0}(\sin(x)-\cos(x))
integral of (x^4-x^3-x-1)/(x^3-x^2)	\int\:\frac{x^{4}-x^{3}-x-1}{x^{3}-x^{2}}dx
(\partial)/(\partial y)(2x^2-y^2+3x-y)	\frac{\partial\:}{\partial\:y}(2x^{2}-y^{2}+3x-y)
derivative of ln(cos(2x))	derivative\:\ln(\cos(2x))
integral from 1/3 to 7 of 10xln(3x)	\int\:_{\frac{1}{3}}^{7}10x\ln(3x)dx
integral from-9 to-7 of 1/x	\int\:_{-9}^{-7}\frac{1}{x}dx
integral from 0 to 1 of 3/(sqrt(x)(x+1))	\int\:_{0}^{1}\frac{3}{\sqrt{x}(x+1)}dx
integral of e^{-3x^2}	\int\:e^{-3x^{2}}dx

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