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Popular Calculus Problems

integral from-32 to 18 of 1/(sqrt(\|2x\|))	\int\:_{-32}^{18}\frac{1}{\sqrt{\left\|2x\right\|}}dx
sum from n=1 to infinity of (1/(2^n))-1	\sum\:_{n=1}^{\infty\:}(\frac{1}{2^{n}})-1
derivative of (x^3-2^2)	\frac{d}{dx}((x^{3}-2)^{2})
integral of 1000te^{-0.5t}	\int\:1000te^{-0.5t}dt
y^{''}-4y^'+4y=120x^2e^{2x}	y^{\prime\:\prime\:}-4y^{\prime\:}+4y=120x^{2}e^{2x}
limit as x approaches-4 of (x^2+5)/(x+4)	\lim\:_{x\to\:-4}(\frac{x^{2}+5}{x+4})
3x^2y^'=y^'+3xe^{-y}	3x^{2}y^{\prime\:}=y^{\prime\:}+3xe^{-y}
d/(dz)(-z)	\frac{d}{dz}(-z)
integral of 1/(x^2+4x+6)	\int\:\frac{1}{x^{2}+4x+6}dx
derivative of ln(sqrt(x+6))	derivative\:\ln(\sqrt{x+6})
tangent of f(x)=2x^2-2x-4,\at x=1	tangent\:f(x)=2x^{2}-2x-4,\at\:x=1
derivative of y=(ln(4)x^2)(-x^3-4)	derivative\:y=(\ln(4)x^{2})(-x^{3}-4)
area y=x+12,y=x^2	area\:y=x+12,y=x^{2}
integral of 1/(x^2sqrt(121-x^2))	\int\:\frac{1}{x^{2}\sqrt{121-x^{2}}}dx
area x^2-1,-x^2	area\:x^{2}-1,-x^{2}
limit as t approaches 0 of cos(2t)	\lim\:_{t\to\:0}(\cos(2t))
derivative of 44x+(1584)/(x^2)	derivative\:44x+\frac{1584}{x^{2}}
y^'=(9x)/y	y^{\prime\:}=\frac{9x}{y}
integral of cos^5(y)	\int\:\cos^{5}(y)dy
derivative of sqrt(3+\sqrt{8x)}	\frac{d}{dx}(\sqrt{3+\sqrt{8x}})
integral of (e^x)/((e^x-2)(e^{2x)+1)}	\int\:\frac{e^{x}}{(e^{x}-2)(e^{2x}+1)}dx
(\partial)/(\partial x)((e)^{x+2y})	\frac{\partial\:}{\partial\:x}((e)^{x+2y})
taylor x^{9/6},5	taylor\:x^{\frac{9}{6}},5
derivative of 10500x+1/5 x^5+1900	\frac{d}{dx}(10500x+\frac{1}{5}x^{5}+1900)
area 2/3 x+2,-2x+10,-sqrt(-x+5)	area\:\frac{2}{3}x+2,-2x+10,-\sqrt{-x+5}
derivative of x/(1-x)	\frac{d}{dx}(\frac{x}{1-x})
(\partial)/(\partial x)(2/(sqrt(x)))	\frac{\partial\:}{\partial\:x}(\frac{2}{\sqrt{x}})
(\partial)/(\partial x)(sin^2(x))	\frac{\partial\:}{\partial\:x}(\sin^{2}(x))
integral from 0 to 2 of x(x-3)	\int\:_{0}^{2}x(x-3)dx
laplacetransform te^{2t}	laplacetransform\:te^{2t}
derivative of sin^2(pix)	derivative\:\sin^{2}(pix)
integral of (6x^3+7x)/((x^2+2)^2)	\int\:\frac{6x^{3}+7x}{(x^{2}+2)^{2}}dx
inverse oflaplace 2/((s+1)^3)	inverselaplace\:\frac{2}{(s+1)^{3}}
derivative of-4e^{-2.5x}	\frac{d}{dx}(-4e^{-2.5x})
integral of sin^7(x)	\int\:\sin^{7}(x)dx
derivative of ln(x+4)	\frac{d}{dx}(\ln(x+4))
integral of (x^2)/((2x+1)^5)	\int\:\frac{x^{2}}{(2x+1)^{5}}dx
derivative of x/(1+e^{-x})	\frac{d}{dx}(\frac{x}{1+e^{-x}})
integral of sin^3(8x)	\int\:\sin^{3}(8x)dx
derivative of [x+(x+sin^2(x))^5]^3	derivative\:[x+(x+\sin^{2}(x))^{5}]^{3}
derivative of y=arctan(x-2)	derivative\:y=\arctan(x-2)
integral of (a^{2/3}-x^{2/3})^3	\int\:(a^{\frac{2}{3}}-x^{\frac{2}{3}})^{3}dx
taylor 1/(x-1),9	taylor\:\frac{1}{x-1},9
integral of (sqrt(tan(x)))/(cos^2(x))	\int\:\frac{\sqrt{\tan(x)}}{\cos^{2}(x)}dx
limit as x approaches pi/2 of 7sin(x)	\lim\:_{x\to\:\frac{π}{2}}(7\sin(x))
integral of 1/(x^{-1)+x^{-3}}	\int\:\frac{1}{x^{-1}+x^{-3}}dx
(\partial)/(\partial x)((x^2y^2)/(x^2+y^2))	\frac{\partial\:}{\partial\:x}(\frac{x^{2}y^{2}}{x^{2}+y^{2}})
tangent of y=-2x^3,(2,-16)	tangent\:y=-2x^{3},(2,-16)
limit as x approaches 3 of (\|x+3\|)/(x-3)	\lim\:_{x\to\:3}(\frac{\left\|x+3\right\|}{x-3})
integral of y+1	\int\:y+1dy
integral from-5 to 0 of 4+sqrt(25-x^2)	\int\:_{-5}^{0}4+\sqrt{25-x^{2}}dx
xy^'+y+8=0	xy^{\prime\:}+y+8=0
integral of 1/(sqrt(x)+3x)	\int\:\frac{1}{\sqrt{x}+3x}dx
limit as x approaches 1+of (\|x-1\|)/x	\lim\:_{x\to\:1+}(\frac{\left\|x-1\right\|}{x})
integral of-(3x^2)/2	\int\:-\frac{3x^{2}}{2}dx
integral of (y+1)e^{-2y}	\int\:(y+1)e^{-2y}dy
derivative of x^{2/3}(x-4^2)	\frac{d}{dx}(x^{\frac{2}{3}}(x-4)^{2})
integral from 0 to 1 of x^3e^{-x^2}	\int\:_{0}^{1}x^{3}e^{-x^{2}}dx
d/(dt)(e^{8tsin(2t)})	\frac{d}{dt}(e^{8t\sin(2t)})
derivative of sqrt(10,0-40x-0.02x^2)	\frac{d}{dx}(\sqrt{10,0-40x-0.02x^{2}})
limit as x approaches c of x^2+a	\lim\:_{x\to\:c}(x^{2}+a)
derivative of 1/(\sqrt[8]{x)}	derivative\:\frac{1}{\sqrt[8]{x}}
d/(dt)(1/(sqrt(1+4t^2+9t^4)))	\frac{d}{dt}(\frac{1}{\sqrt{1+4t^{2}+9t^{4}}})
derivative of (x+1^{x+1})	\frac{d}{dx}((x+1)^{x+1})
integral of (3x+5)e^{(3x+5)}	\int\:(3x+5)e^{(3x+5)}dx
derivative of y=2e^x+8/(\sqrt[3]{x)}	derivative\:y=2e^{x}+\frac{8}{\sqrt[3]{x}}
integral from 0 to pi/2 of cos(x/2)	\int\:_{0}^{\frac{π}{2}}\cos(\frac{x}{2})dx
derivative of (6e^x/(7x))	\frac{d}{dx}(\frac{6e^{x}}{7x})
(dP)/(dt)=5sqrt(Pt)	\frac{dP}{dt}=5\sqrt{Pt}
derivative of (3x+1(2x+6))	\frac{d}{dx}((3x+1)(2x+6))
tangent of y=x^3-5x,(-1,5)	tangent\:y=x^{3}-5x,(-1,5)
integral of x^3e^{x^2+1}	\int\:x^{3}e^{x^{2}+1}dx
derivative of 2ln(xy)	\frac{d}{dx}(2\ln(xy))
integral of-x^0	\int\:-x^{0}dx
limit as x approaches 1 of 4-x^2	\lim\:_{x\to\:1}(4-x^{2})
inverse oflaplace (0.2)/((10s^3+s^2))	inverselaplace\:\frac{0.2}{(10s^{3}+s^{2})}
integral of x^2(3x^3+7)^3	\int\:x^{2}(3x^{3}+7)^{3}dx
integral of (tan(x)sec^2(x))	\int\:(\tan(x)\sec^{2}(x))dx
laplacetransform sin(1/2 t)*t^2	laplacetransform\:\sin(\frac{1}{2}t)\cdot\:t^{2}
integral of-cos(x)2x	\int\:-\cos(x)2xdx
y^'=4y	y^{\prime\:}=4y
derivative of (x^3+2x^2/(sqrt(x)))	\frac{d}{dx}(\frac{x^{3}+2x^{2}}{\sqrt{x}})
integral of sin^4(5θ)	\int\:\sin^{4}(5θ)dθ
derivative of y=(cos(3x))^x	derivative\:y=(\cos(3x))^{x}
limit as x approaches 0 of (sin(4x))/x	\lim\:_{x\to\:0}(\frac{\sin(4x)}{x})
derivative of Acos(2x)	\frac{d}{dx}(A\cos(2x))
integral of sin(npix)	\int\:\sin(nπx)dx
derivative of (x+1(x+3))	\frac{d}{dx}((x+1)(x+3))
tangent of ((x+1))/((5-x))	tangent\:\frac{(x+1)}{(5-x)}
limit as t approaches 1 of (1/t)/(t-1)	\lim\:_{t\to\:1}(\frac{\frac{1}{t}}{t-1})
integral of sqrt(1+(x^2-1/(4x^2))^2)	\int\:\sqrt{1+(x^{2}-\frac{1}{4x^{2}})^{2}}dx
derivative of sin(2x+pi)	\frac{d}{dx}(\sin(2x+π))
derivative of f(x)=2x^2+3x-2	derivative\:f(x)=2x^{2}+3x-2
slope of y=3x^2+2x+9	slope\:y=3x^{2}+2x+9
integral of 1/(y-2)	\int\:\frac{1}{y-2}dy
(\partial)/(\partial y)(8xy^2+x^2)	\frac{\partial\:}{\partial\:y}(8xy^{2}+x^{2})
sum from n=1 to infinity of (-1)^nn	\sum\:_{n=1}^{\infty\:}(-1)^{n}n
limit as n approaches infinity of (n!)^2	\lim\:_{n\to\:\infty\:}((n!)^{2})
integral of ycos(yz)	\int\:y\cos(yz)dz
derivative of-7hx^2-5hx-3h^2x+5h^2+4h^3	derivative\:-7hx^{2}-5hx-3h^{2}x+5h^{2}+4h^{3}

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