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Popular Calculus Problems

roots ax^2	roots\:ax^{2}
integral of 13x^2sin(pix)	\int\:13x^{2}\sin(πx)dx
tangent of y=10sqrt(x)-x+3,(100,3)	tangent\:y=10\sqrt{x}-x+3,(100,3)
integral from 0 to 10 of 2piy(100-y^2)	\int\:_{0}^{10}2πy(100-y^{2})dy
integral of x^20.4^{-x}x	\int\:x^{2}0.4^{-x}xdx
slope ofintercept (4,5),(1,-3)	slopeintercept\:(4,5),(1,-3)
t^2y^{''}-11ty^'+35y=0	t^{2}y^{\prime\:\prime\:}-11ty^{\prime\:}+35y=0
integral of (x^4+8)/(x^3)	\int\:\frac{x^{4}+8}{x^{3}}dx
y^{''}+y=2csc^2(t)	y^{\prime\:\prime\:}+y=2\csc^{2}(t)
integral from 0 to c of 4e^{2x}	\int\:_{0}^{c}4e^{2x}dx
integral from 0 to 1 of (e^x-xe^{x^2})	\int\:_{0}^{1}(e^{x}-xe^{x^{2}})dx
integral of v/(1-v)	\int\:\frac{v}{1-v}dv
integral of-x+3(cos((npix)/8))	\int\:-x+3(\cos(\frac{n\cdot\:π\cdot\:x}{8}))dx
derivative of 1/(sqrt(xy))	\frac{d}{dx}(\frac{1}{\sqrt{xy}})
(x^2-xy)(dy)/(dx)+y^2=0	(x^{2}-xy)\frac{dy}{dx}+y^{2}=0
y=sqrt(t)	y=\sqrt{t}
integral of (2x-1)/(x^2)	\int\:\frac{2x-1}{x^{2}}dx
derivative of 3x^3-x^2+9x-9	derivative\:3x^{3}-x^{2}+9x-9
inverse oflaplace (s-2)/(s^2-s-6)	inverselaplace\:\frac{s-2}{s^{2}-s-6}
derivative of (arcsin(3x)/x)	\frac{d}{dx}(\frac{\arcsin(3x)}{x})
tangent of f(x)=3-4x^2,\at x=-2	tangent\:f(x)=3-4x^{2},\at\:x=-2
tangent of y=sqrt(3x),(3,3)	tangent\:y=\sqrt{3x},(3,3)
integral of e^{6-5t}	\int\:e^{6-5t}dt
integral of xsin(3t-3x)	\int\:x\sin(3t-3x)dx
(\partial)/(\partial y)(sqrt(3x+2y))	\frac{\partial\:}{\partial\:y}(\sqrt{3x+2y})
derivative of (8+x{f}(x)/(sqrt(x)))	\frac{d}{dx}(\frac{8+x{f}(x)}{\sqrt{x}})
integral of sin(x) 1/x	\int\:\sin(x)\frac{1}{x}dx
(dy)/(dx)=x*e^{-2x},y(0)=3	\frac{dy}{dx}=x\cdot\:e^{-2x},y(0)=3
integral of sin(nx)	\int\:\sin(nx)dx
integral of 1/((1+2x^2))	\int\:\frac{1}{(1+2x^{2})}dx
limit as x approaches pi/2+of tan(x)	\lim\:_{x\to\:\frac{π}{2}+}(\tan(x))
xy^'=xe^x-2y	xy^{\prime\:}=xe^{x}-2y
limit as x approaches-6 of x^2	\lim\:_{x\to\:-6}(x^{2})
tangent of 4+2x+10xe^x	tangent\:4+2x+10xe^{x}
derivative of f(x)=(3-5xe^x)(3x+2)	derivative\:f(x)=(3-5xe^{x})(3x+2)
integral from 1 to 5 of (x^2-x+1)	\int\:_{1}^{5}(x^{2}-x+1)dx
derivative of-sin(4x)	\frac{d}{dx}(-\sin(4x))
derivative of y=e^{x^4}	derivative\:y=e^{x^{4}}
(dy)/(dx)=(1+e^{2x})	\frac{dy}{dx}=(1+e^{2x})
derivative of (x^2/(x-9))	\frac{d}{dx}(\frac{x^{2}}{x-9})
slope of (-8,9),(-2,-3)	slope\:(-8,9),(-2,-3)
xy+y^'=100x	xy+y^{\prime\:}=100x
integral from-3 to 1 of 2x+2	\int\:_{-3}^{1}2x+2dx
tangent of f(x)=x^3-3x^2+1	tangent\:f(x)=x^{3}-3x^{2}+1
integral of (1+x^5)^35x^4	\int\:(1+x^{5})^{3}5x^{4}dx
integral of (x^5)/(sqrt(x^2+5))	\int\:\frac{x^{5}}{\sqrt{x^{2}+5}}dx
(\partial)/(\partial t)(st)	\frac{\partial\:}{\partial\:t}(st)
integral of 3xsqrt(5+x^2)	\int\:3x\sqrt{5+x^{2}}dx
integral of cos(2y)	\int\:\cos(2y)dy
integral of 1/(xsqrt(x))	\int\:\frac{1}{x\sqrt{x}}dx
limit as x approaches 1 of 2x^2-4x+2	\lim\:_{x\to\:1}(2x^{2}-4x+2)
(\partial)/(\partial y)((3y)/(x^5))	\frac{\partial\:}{\partial\:y}(\frac{3y}{x^{5}})
y^{''}-3y^'+4y=xe^x	y^{\prime\:\prime\:}-3y^{\prime\:}+4y=xe^{x}
derivative of 1(-5x+3(-3x+2))	\frac{d}{dx}(1(-5x+3)(-3x+2))
integral of ((e^x))/(e^x+1)	\int\:\frac{(e^{x})}{e^{x}+1}dx
(\partial)/(\partial x)(x^2-2xy+y^2)	\frac{\partial\:}{\partial\:x}(x^{2}-2xy+y^{2})
integral of 1/(ln(x))	\int\:\frac{1}{\ln(x)}dx
integral of (y+1)/(y-1)	\int\:\frac{y+1}{y-1}dy
y^{''}-5y^'=x-2	y^{\prime\:\prime\:}-5y^{\prime\:}=x-2
derivative of 3x^2cos(x)cot(x)	derivative\:3x^{2}\cos(x)\cot(x)
derivative of e^xsin(2x)	derivative\:e^{x}\sin(2x)
derivative of ln(x/k)	\frac{d}{dx}(\ln(\frac{x}{k}))
integral from-a to a of 1/((s-x)^2)	\int\:_{-a}^{a}\frac{1}{(s-x)^{2}}dx
derivative of (x^2-4/(x^2-2x))	\frac{d}{dx}(\frac{x^{2}-4}{x^{2}-2x})
integral of 2/(x^{2/3)}	\int\:\frac{2}{x^{\frac{2}{3}}}dx
2y*(dy)/(dx)=x(y^2+1)	2y\cdot\:\frac{dy}{dx}=x(y^{2}+1)
derivative of in(x^2-5)	\frac{d}{dx}(in(x^{2}-5))
y^'=1-e^{x-y+8}	y^{\prime\:}=1-e^{x-y+8}
inverse oflaplace 5/(8s)	inverselaplace\:\frac{5}{8s}
limit as x approaches 3+of (x^2-9)^{x-3}	\lim\:_{x\to\:3+}((x^{2}-9)^{x-3})
integral of (t^2+8)/(t^2-5t+6)	\int\:\frac{t^{2}+8}{t^{2}-5t+6}dt
tangent of 3x^2+4x	tangent\:3x^{2}+4x
limit as x approaches 0 of 1/(ln\|x\|)	\lim\:_{x\to\:0}(\frac{1}{\ln\left\|x\right\|})
integral of (15xe^{2x})/((1+2x)^2)	\int\:\frac{15xe^{2x}}{(1+2x)^{2}}dx
implicit (dy)/(dx),e^{5y^2}=x^3+3	implicit\:\frac{dy}{dx},e^{5y^{2}}=x^{3}+3
y^'=(x-2)e^{-2y},y(2)=ln(2)	y^{\prime\:}=(x-2)e^{-2y},y(2)=\ln(2)
(\partial)/(\partial y)(xe^{x/y})	\frac{\partial\:}{\partial\:y}(xe^{\frac{x}{y}})
integral from 25 to 50 of 20	\int\:_{25}^{50}20dx
derivative of f(x)=(x^2+1)/(x+4)	derivative\:f(x)=\frac{x^{2}+1}{x+4}
derivative of f(x)=x^{5/2}(2-5x^3)	derivative\:f(x)=x^{\frac{5}{2}}(2-5x^{3})
laplacetransform e^{(-2x)}(3x)^2	laplacetransform\:e^{(-2x)}(3x)^{2}
tangent of f(x)=-5sin(x),\at x= pi/4	tangent\:f(x)=-5\sin(x),\at\:x=\frac{π}{4}
integral of (4x^2+3x-7)	\int\:(4x^{2}+3x-7)dx
derivative of x^2y^3+x^3y^2	\frac{d}{dx}(x^{2}y^{3}+x^{3}y^{2})
integral of (3-3x)/(1-sqrt(x))	\int\:\frac{3-3x}{1-\sqrt{x}}dx
(\partial)/(\partial x)(6xy+2*y)	\frac{\partial\:}{\partial\:x}(6\cdot\:x\cdot\:y+2\cdot\:y)
derivative of (x-1^4)	\frac{d}{dx}((x-1)^{4})
derivative of x/(x^2)	\frac{d}{dx}(\frac{x}{x^{2}})
integral of sqrt(144-x^2)	\int\:\sqrt{144-x^{2}}dx
limit as x approaches-1 of x^3+2x^2-3x-4	\lim\:_{x\to\:-1}(x^{3}+2x^{2}-3x-4)
(dy)/(dx)=(xy)^2	\frac{dy}{dx}=(xy)^{2}
derivative of x^{(2)}sin(x)	derivative\:x^{(2)}\sin(x)
integral from 0 to pi/2 of sin^3(3x)	\int\:_{0}^{\frac{π}{2}}\sin^{3}(3x)dx
tangent of (2x-1)^2ln(2x-1)	tangent\:(2x-1)^{2}\ln(2x-1)
(dy)/(dx)=y(1-y),y(0)=2	\frac{dy}{dx}=y(1-y),y(0)=2
derivative of (-2x^2+2/((1+x^2)^2))	\frac{d}{dx}(\frac{-2x^{2}+2}{(1+x^{2})^{2}})
(\partial)/(\partial x)(-4y(-2x-y-3))	\frac{\partial\:}{\partial\:x}(-4y(-2x-y-3))
integral of 1-(16)/(sin^4(x))	\int\:1-\frac{16}{\sin^{4}(x)}dx
limit as x approaches 0 of xln^2(x)	\lim\:_{x\to\:0}(x\ln^{2}(x))
(\partial)/(\partial x)(3y^2-x^2)	\frac{\partial\:}{\partial\:x}(3y^{2}-x^{2})

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