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Popular Calculus Problems

derivative of (141)/(7-sqrt(2))	derivative\:\frac{141}{7-\sqrt{2}}
tangent of f(x)=4x^2+2x,\at x=-2	tangent\:f(x)=4x^{2}+2x,\at\:x=-2
inverse oflaplace 1/(s^2+6s+8)	inverselaplace\:\frac{1}{s^{2}+6s+8}
inverse oflaplace s/((s^2+2s+2)(s^2+4))	inverselaplace\:\frac{s}{(s^{2}+2s+2)(s^{2}+4)}
integral of 8(x+1)	\int\:8(x+1)dx
integral of ((x^5-2x^2))/((1+x^3)^{3/2)}	\int\:\frac{(x^{5}-2x^{2})}{(1+x^{3})^{\frac{3}{2}}}dx
d/(du)(2uv)	\frac{d}{du}(2uv)
derivative of ln\|coth(5x\|)	\frac{d}{dx}(\ln\left\|\coth(5x)\right\|)
(\partial)/(\partial u(v))((e^v)/(u(v)+v^3))	\frac{\partial\:}{\partial\:u(v)}(\frac{e^{v}}{u(v)+v^{3}})
sum from n=2 to infinity of ((-1)^n)/n	\sum\:_{n=2}^{\infty\:}\frac{(-1)^{n}}{n}
integral of x^3e^{-2x}	\int\:x^{3}e^{-2x}dx
derivative of x^2+Ax+B	\frac{d}{dx}(x^{2}+Ax+B)
integral of 4xe^{4x}	\int\:4xe^{4x}dx
derivative of (x^2/8-1/x)	\frac{d}{dx}(\frac{x^{2}}{8}-\frac{1}{x})
integral of 1/(3x^2+4)	\int\:\frac{1}{3x^{2}+4}dx
tangent of y=3x+6cos(x),(pi/3 ,pi+3)	tangent\:y=3x+6\cos(x),(\frac{π}{3},π+3)
derivative of y=(x^2+8)^2-4x	derivative\:y=(x^{2}+8)^{2}-4x
derivative of (x^5/(10))	\frac{d}{dx}(\frac{x^{5}}{10})
limit as x approaches infinity of 4x+2	\lim\:_{x\to\:\infty\:}(4x+2)
integral of ln(x)+sin(pix)	\int\:\ln(x)+\sin(πx)dx
integral of sin(x)-5cos(x)	\int\:\sin(x)-5\cos(x)dx
derivative of sin((pix)^7)	derivative\:\sin((πx)^{7})
(\partial)/(\partial x)(9x+2y)	\frac{\partial\:}{\partial\:x}(9x+2y)
area y=8x-12,y=x^2,x=1	area\:y=8x-12,y=x^{2},x=1
limit as x approaches 0 of (tan(x))/(2x)	\lim\:_{x\to\:0}(\frac{\tan(x)}{2x})
laplacetransform t+29	laplacetransform\:t+29
derivative of sqrt(y)-7y	derivative\:\sqrt{y}-7y
integral from 1.5 to 2 of cos((pix)/3)	\int\:_{1.5}^{2}\cos(\frac{πx}{3})dx
taylor sin(9x)	taylor\:\sin(9x)
derivative of xsin(x^2)	derivative\:x\sin(x^{2})
y^{''}-4y^'+3y=-e^{-s},y(0)=0,y^'(0)=0	y^{\prime\:\prime\:}-4y^{\prime\:}+3y=-e^{-s},y(0)=0,y^{\prime\:}(0)=0
integral of 8sin^4(x)cos^2(x)	\int\:8\sin^{4}(x)\cos^{2}(x)dx
limit as x approaches 0 of (2tan(x))/x	\lim\:_{x\to\:0}(\frac{2\tan(x)}{x})
(\partial)/(\partial x)(6x^2y)	\frac{\partial\:}{\partial\:x}(6x^{2}y)
dy=(x+6)/(x+1)dx	dy=\frac{x+6}{x+1}dx
derivative of y=4sin(5x-2)	derivative\:y=4\sin(5x-2)
integral of cot^6(x)	\int\:\cot^{6}(x)dx
slope of (-7.6)(4.2)	slope\:(-7.6)(4.2)
d/(dt)(t/(t-1))	\frac{d}{dt}(\frac{t}{t-1})
derivative of 4te^{-t}	derivative\:4te^{-t}
limit as x approaches-1 of 1+e^{1/x}	\lim\:_{x\to\:-1}(1+e^{\frac{1}{x}})
area x^2-3x,5x,[0,8]	area\:x^{2}-3x,5x,[0,8]
(dy)/(dx)+y=2xy^2ex	\frac{dy}{dx}+y=2xy^{2}ex
derivative of (4x-x^2/(6-x))	\frac{d}{dx}(\frac{4x-x^{2}}{6-x})
derivative of e^{-x^4}	derivative\:e^{-x^{4}}
integral of 1/((8x+9)^2)	\int\:\frac{1}{(8x+9)^{2}}dx
sum from n=1 to infinity of (-4)^n	\sum\:_{n=1}^{\infty\:}(-4)^{n}
integral of sec(x)tan(x)-4e^x	\int\:\sec(x)\tan(x)-4e^{x}dx
integral of sinh(4x)	\int\:\sinh(4x)dx
taylor (1+(1/2)*x)-4	taylor\:(1+(\frac{1}{2})\cdot\:x)-4
limit as t approaches 0 of e^{5t}	\lim\:_{t\to\:0}(e^{5t})
derivative of e^{x^2-3}	\frac{d}{dx}(e^{x^{2}-3})
d/(dt)(10sin(t))	\frac{d}{dt}(10\sin(t))
(d^2y)/(dt^2)+4(dy)/(dt)+4y=0	\frac{d^{2}y}{dt^{2}}+4\frac{dy}{dt}+4y=0
limit as z approaches 1+i of z^2-5z+10	\lim\:_{z\to\:1+i}(z^{2}-5z+10)
y^'=2y-4x	y^{\prime\:}=2y-4x
(dx)/(dt)+3=0	\frac{dx}{dt}+3=0
derivative of y=((x-1)/(x^2+x+1))^4	derivative\:y=(\frac{x-1}{x^{2}+x+1})^{4}
y^'+2xy=2x	y^{\prime\:}+2xy=2x
derivative of y=sin^5(3x)	derivative\:y=\sin^{5}(3x)
integral of sqrt(x)(x+3)	\int\:\sqrt{x}(x+3)dx
derivative of 3x^2-27	\frac{d}{dx}(3x^{2}-27)
integral from 0 to ln(3) of e^{2x}	\int\:_{0}^{\ln(3)}e^{2x}dx
area y=3x,y=9x^2	area\:y=3x,y=9x^{2}
inverse oflaplace (s-1)/(s^2-2s+1)	inverselaplace\:\frac{s-1}{s^{2}-2s+1}
integral of e^{-0.06x}	\int\:e^{-0.06x}dx
(\partial)/(\partial x)(y^2cos(xy))	\frac{\partial\:}{\partial\:x}(y^{2}\cos(xy))
integral of 4x(x^2+28000)^{-2/3}	\int\:4x(x^{2}+28000)^{-\frac{2}{3}}dx
integral of (sqrt(x^2+16))/(2x)	\int\:\frac{\sqrt{x^{2}+16}}{2x}dx
derivative of e^{3x+9}	\frac{d}{dx}(e^{3x+9})
derivative of ln(x+3)	derivative\:\ln(x+3)
derivative of 10+(50t)/(2t^2+9)	derivative\:10+\frac{50t}{2t^{2}+9}
limit as h approaches 0 of (x+h)^3-x^3	\lim\:_{h\to\:0}((x+h)^{3}-x^{3})
(\partial)/(\partial t)(2e^{sin(x+2ct)})	\frac{\partial\:}{\partial\:t}(2e^{\sin(x+2ct)})
(dx)/(dt)=-2x	\frac{dx}{dt}=-2x
integral of cos^2(2t)	\int\:\cos^{2}(2t)dt
derivative of 230-8x+0.04x^2	\frac{d}{dx}(230-8x+0.04x^{2})
derivative of (csc(x*tan(x))/(cos(x)))	\frac{d}{dx}(\frac{\csc(x)\cdot\:\tan(x)}{\cos(x)})
limit as x approaches pi/2+of 9/x sec(x)	\lim\:_{x\to\:\frac{π}{2}+}(\frac{9}{x}\sec(x))
integral of (5^x)/(1+5^x)	\int\:\frac{5^{x}}{1+5^{x}}dx
implicit (dy)/(dx),16x^2-16xy+y^2=1	implicit\:\frac{dy}{dx},16x^{2}-16xy+y^{2}=1
limit as x approaches 0 of x^2*ln(x)	\lim\:_{x\to\:0}(x^{2}\cdot\:\ln(x))
integral from 1 to 2 of 1/(x^2)	\int\:_{1}^{2}\frac{1}{x^{2}}dx
limit as x approaches 0+of x(ln(x))	\lim\:_{x\to\:0+}(x(\ln(x)))
tangent of 4x^2-3x+2	tangent\:4x^{2}-3x+2
f^'(x)=2x+3x^{1.7}	f^{\prime\:}(x)=2x+3x^{1.7}
d/(dθ)((sin(θ))/(1+cos(θ)))	\frac{d}{dθ}(\frac{\sin(θ)}{1+\cos(θ)})
derivative of 4x^2-5x	derivative\:4x^{2}-5x
(\partial)/(\partial x)(sin(xe^{x^2y}))	\frac{\partial\:}{\partial\:x}(\sin(x\cdot\:e^{x^{2}\cdot\:y}))
integral of (sin^3(2t))sqrt(cos(2t))	\int\:(\sin^{3}(2t))\sqrt{\cos(2t)}dt
(3x^2)^'	(3x^{2})^{\prime\:}
integral of (x^2)/(sqrt(x^6+1))	\int\:\frac{x^{2}}{\sqrt{x^{6}+1}}dx
derivative of f(x)=ln(x+sqrt(x^2+1))	derivative\:f(x)=\ln(x+\sqrt{x^{2}+1})
integral of (7+e)	\int\:(7+e)dx
integral of ((x^2))/(x^2+64)	\int\:\frac{(x^{2})}{x^{2}+64}dx
(\partial)/(\partial x)(-3sin(3x))	\frac{\partial\:}{\partial\:x}(-3\sin(3x))
tangent of 4x-(x^3)/4	tangent\:4x-\frac{x^{3}}{4}
integral of-ysin(y)	\int\:-y\sin(y)dy
taylor e^{1/(x-9)},7	taylor\:e^{\frac{1}{x-9}},7
integral of (sqrt(x))/((1+\sqrt[3]{x))}	\int\:\frac{\sqrt{x}}{(1+\sqrt[3]{x})}dx

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