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Popular Calculus Problems

(\partial)/(\partial y)(ln(x+y)-ln(x-y))	\frac{\partial\:}{\partial\:y}(\ln(x+y)-\ln(x-y))
tangent of y=sqrt(4x+48),(4,8)	tangent\:y=\sqrt{4x+48},(4,8)
inverse oflaplace (74)/(s^2+1)	inverselaplace\:\frac{74}{s^{2}+1}
integral of 3cos^3(3x)	\int\:3\cos^{3}(3x)dx
integral from 4 to 5 of xsqrt(x-4)	\int\:_{4}^{5}x\sqrt{x-4}dx
derivative of-0.5x^2+56x+20	\frac{d}{dx}(-0.5x^{2}+56x+20)
derivative of ((4-y))/((2^y+3))	derivative\:\frac{(4-y)}{(2^{y}+3)}
integral of (-3x+2)e^{-x}	\int\:(-3\cdot\:x+2)\cdot\:e^{-x}dx
integral of sin^3(3x)cos^{-2}(3x)	\int\:\sin^{3}(3x)\cos^{-2}(3x)dx
derivative of (x/7+7/x ^7)	\frac{d}{dx}((\frac{x}{7}+\frac{7}{x})^{7})
integral of 1/(3x^2-1)	\int\:\frac{1}{3x^{2}-1}dx
sum from i=2 to infinity of 5/(i^2+i-2)	\sum\:_{i=2}^{\infty\:}\frac{5}{i^{2}+i-2}
limit as x approaches 5 of sqrt(2x+3)	\lim\:_{x\to\:5}(\sqrt{2x+3})
laplacetransform 3*cos^2(t)	laplacetransform\:3\cdot\:\cos^{2}(t)
x^'=0.0333333x(30-x)	x^{\prime\:}=0.0333333x(30-x)
limit as x approaches-1 of (x^2-5)/(x+6)	\lim\:_{x\to\:-1}(\frac{x^{2}-5}{x+6})
limit as x approaches 0 of (x+pi)csc(x)	\lim\:_{x\to\:0}((x+π)\csc(x))
integral of 42x(x+12)^5	\int\:42x(x+12)^{5}dx
tangent of f(x)=(5x)/(x-3),\at x=4	tangent\:f(x)=\frac{5x}{x-3},\at\:x=4
(\partial)/(\partial x)(x-y-1)	\frac{\partial\:}{\partial\:x}(x-y-1)
f(x)=5x-4	f(x)=5x-4
derivative of y=sqrt(x)+\sqrt[3]{x}	derivative\:y=\sqrt{x}+\sqrt[3]{x}
d/(d{x)}(e^{{x}{y}}ln({z}))	\frac{d}{d{x}}(e^{{x}{y}}\ln({z}))
derivative of p(x)=sqrt(x)-sqrt(1-3x^2)	derivative\:p(x)=\sqrt{x}-\sqrt{1-3x^{2}}
derivative of cot(4x)	derivative\:\cot(4x)
integral of 3e^{sin(x)}cos(x)	\int\:3e^{\sin(x)}\cos(x)dx
tangent of f(x)=x^3+1,(-1,0)	tangent\:f(x)=x^{3}+1,(-1,0)
area 3(x+1),2(x+1),0,7	area\:3(x+1),2(x+1),0,7
derivative of f(x)=(2x+14)/(x+9)	derivative\:f(x)=\frac{2x+14}{x+9}
slope ofintercept (2,-2),(4,1)	slopeintercept\:(2,-2),(4,1)
derivative of f(x)=(5x-2)/(5x)	derivative\:f(x)=\frac{5x-2}{5x}
integral of (-x)	\int\:(-x)dx
limit as x approaches 4+of (-2)/(x^2-16)	\lim\:_{x\to\:4+}(\frac{-2}{x^{2}-16})
derivative of y=arcsin(sqrt(2)*t)	derivative\:y=\arcsin(\sqrt{2}\cdot\:t)
derivative of (ax^2+bx+c*e^{-x/6})	\frac{d}{dx}((ax^{2}+bx+c)\cdot\:e^{-\frac{x}{6}})
integral of xcos(182x)	\int\:x\cos(182x)dx
tangent of f(x)=sin(x)+3,\at x=pi	tangent\:f(x)=\sin(x)+3,\at\:x=π
tangent of 8x*sin(x)	tangent\:8x\cdot\:\sin(x)
integral of x^3+x^{-4}+x^{3/4}	\int\:x^{3}+x^{-4}+x^{\frac{3}{4}}dx
derivative of e^{10x}	derivative\:e^{10x}
y^'-7y=e^x	y^{\prime\:}-7y=e^{x}
limit as x approaches 4 of (-2)/(x^2-16)	\lim\:_{x\to\:4}(\frac{-2}{x^{2}-16})
(\partial)/(\partial x)(xe^{4y}sin(4z))	\frac{\partial\:}{\partial\:x}(xe^{4y}\sin(4z))
limit as x approaches 0+of x-1/x	\lim\:_{x\to\:0+}(x-\frac{1}{x})
limit as h approaches 0 of (e^{ah}-1)/h	\lim\:_{h\to\:0}(\frac{e^{ah}-1}{h})
y^'=3-cos(x)	y^{\prime\:}=3-\cos(x)
derivative of e^{(1/x (ln(1-2x))})	\frac{d}{dx}(e^{(\frac{1}{x})(\ln(1-2x))})
integral of (10)/(4x^3-4x^2+5x)	\int\:\frac{10}{4x^{3}-4x^{2}+5x}dx
derivative of sqrt(1/4 x^2-2x-y)	\frac{d}{dx}(\sqrt{\frac{1}{4}x^{2}-2x-y})
(\partial)/(\partial y)(ln(xy))	\frac{\partial\:}{\partial\:y}(\ln(xy))
integral of x^2sqrt(3-2x)	\int\:x^{2}\sqrt{3-2x}dx
integral of 1/(sqrt((a^2+v^2)))	\int\:\frac{1}{\sqrt{(a^{2}+v^{2})}}dv
y^'+tan(x)y-sin(x)=0	y^{\prime\:}+\tan(x)y-\sin(x)=0
integral of 1/x+2x	\int\:\frac{1}{x}+2xdx
(\partial)/(\partial x)(4sin(4x))	\frac{\partial\:}{\partial\:x}(4\sin(4x))
derivative of arccos(x+y)	\frac{d}{dx}(\arccos(x+y))
tangent of f(x)=3x^2,\at x=(6)	tangent\:f(x)=3x^{2},\at\:x=(6)
limit as x approaches 1+of 1/(x^3-1)	\lim\:_{x\to\:1+}(\frac{1}{x^{3}-1})
derivative of f(x)=tan^3(x)	derivative\:f(x)=\tan^{3}(x)
integral from 1 to e^4 of x^3ln(x)	\int\:_{1}^{e^{4}}x^{3}\ln(x)dx
integral of sin^0(x)	\int\:\sin^{0}(x)dx
integral from 0 to 8 of (8y-y^2)	\int\:_{0}^{8}(8y-y^{2})dy
sum from n=1 to infinity of 100e^{-n/2}	\sum\:_{n=1}^{\infty\:}100e^{-\frac{n}{2}}
derivative of f(x)=(3-2x^3)^2	derivative\:f(x)=(3-2x^{3})^{2}
slope of f(x)=x^2+1	slope\:f(x)=x^{2}+1
integral of-3/4 e^{-4x}x^2	\int\:-\frac{3}{4}e^{-4x}x^{2}dx
slope of y=x-x^3(1)	slope\:y=x-x^{3}(1)
(dy)/(dx)+y^9x+8y=0	\frac{dy}{dx}+y^{9}x+8y=0
integral of (18)/(1+9x^2)	\int\:\frac{18}{1+9x^{2}}dx
derivative of (-2x+1^3)	\frac{d}{dx}((-2x+1)^{3})
integral of (\sqrt[3]{x})/(2x)	\int\:\frac{\sqrt[3]{x}}{2x}dx
integral of sqrt((1-cos(x))/2)	\int\:\sqrt{\frac{1-\cos(x)}{2}}dx
(\partial)/(\partial t)(e^{-2t}cos(x))	\frac{\partial\:}{\partial\:t}(e^{-2t}\cos(x))
limit as x approaches 0 of sin(7/x)	\lim\:_{x\to\:0}(\sin(\frac{7}{x}))
tangent of f(x)= 9/x ,\at x=1	tangent\:f(x)=\frac{9}{x},\at\:x=1
d/(dt)({f}(t)(t)^{-1})	\frac{d}{dt}({f}(t)(t)^{-1})
integral of 18cos(2t)	\int\:18\cos(2t)dt
d/(dt)(3t-1)	\frac{d}{dt}(3t-1)
sum from n=1 to infinity of n^n*x^n	\sum\:_{n=1}^{\infty\:}n^{n}\cdot\:x^{n}
y^{''}+6y^'+8=0	y^{\prime\:\prime\:}+6y^{\prime\:}+8=0
(dy)/(dx)=2x(x-4)	\frac{dy}{dx}=2x(x-4)
(dy)/(dx)-y/x =2xe^x	\frac{dy}{dx}-\frac{y}{x}=2xe^{x}
sum from n=1 to infinity of ((2x+1)/x)^n	\sum\:_{n=1}^{\infty\:}(\frac{2x+1}{x})^{n}
integral from-48 to 0 of 1/(sqrt(1-x))	\int\:_{-48}^{0}\frac{1}{\sqrt{1-x}}dx
integral of (cos(2x))/(sin^3(2x))	\int\:\frac{\cos(2x)}{\sin^{3}(2x)}dx
(\partial)/(\partial v)(u-uv)	\frac{\partial\:}{\partial\:v}(u-uv)
taylor ln(x+3)(1)	taylor\:\ln(x+3)(1)
integral of 1 (e^x)	\int\:\frac{d}{1}(e^{x})dx
derivative of 6/(x+4)	\frac{d}{dx}(\frac{6}{x+4})
slope of (15,250),(20,111)	slope\:(15,250),(20,111)
derivative of (8-x)/5+(sqrt(16+x^2))/3	derivative\:\frac{8-x}{5}+\frac{\sqrt{16+x^{2}}}{3}
derivative of (x^2/(2^x-1))	\frac{d}{dx}(\frac{x^{2}}{2^{x}-1})
integral of 1/(xsqrt(16x^2-1))	\int\:\frac{1}{x\sqrt{16x^{2}-1}}dx
derivative of f(x)= t/((t-7)^2)	derivative\:f(x)=\frac{t}{(t-7)^{2}}
derivative of ln(e^{2x}+1)	\frac{d}{dx}(\ln(e^{2x}+1))
limit as x approaches infinity of (1+1/x)^{x+3}	\lim\:_{x\to\:\infty\:}((1+\frac{1}{x})^{x+3})
y^{''}=-ky	y^{\prime\:\prime\:}=-ky
derivative of-sin(x^2)(2x)	derivative\:-\sin(x^{2})(2x)
integral of 2e^{3t}	\int\:2e^{3t}dt
integral from 0 to 3 of sqrt(1+4x^2)	\int\:_{0}^{3}\sqrt{1+4x^{2}}dx

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