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Popular Calculus Problems

derivative of 3x^3-x^2+1	\frac{d}{dx}(3x^{3}-x^{2}+1)
slope ofintercept (-8.2)(-10.5)	slopeintercept\:(-8.2)(-10.5)
derivative of y=(2x-1)^2ln(2x-1)	derivative\:y=(2x-1)^{2}\ln(2x-1)
derivative of 2sin(pit)	derivative\:2\sin(πt)
tangent of f(x)=x^4-2x^2+1,\at x=-2	tangent\:f(x)=x^{4}-2x^{2}+1,\at\:x=-2
tangent of y=2e^xcos(x),(0,2)	tangent\:y=2e^{x}\cos(x),(0,2)
derivative of cos^3(4x^2)	\frac{d}{dx}(\cos^{3}(4x^{2}))
derivative of ln(ax^n)	\frac{d}{dx}(\ln(ax^{n}))
limit as x approaches infinity of 5^{-x}	\lim\:_{x\to\:\infty\:}(5^{-x})
derivative of (2t)/(4+t^2)	derivative\:\frac{2t}{4+t^{2}}
limit as x approaches 0 of (5x^3)/(x^3)	\lim\:_{x\to\:0}(\frac{5x^{3}}{x^{3}})
xy^2dy=(x^3+y^3)dx	xy^{2}dy=(x^{3}+y^{3})dx
derivative of (2x^2-1^3)	\frac{d}{dx}((2x^{2}-1)^{3})
sum from n=1 to infinity of (2n)/(5n-7)	\sum\:_{n=1}^{\infty\:}\frac{2n}{5n-7}
derivative of 2^{x^3-2}-1/(x^2)	\frac{d}{dx}(2^{x^{3}-2}-\frac{1}{x^{2}})
(\partial)/(\partial x)(6/(x^3))	\frac{\partial\:}{\partial\:x}(\frac{6}{x^{3}})
derivative of (20/(x^3))	\frac{d}{dx}(\frac{20}{x^{3}})
integral of 3x^2-sqrt(5x)+2	\int\:3x^{2}-\sqrt{5x}+2dx
integral from 0 to infinity of 6e^{-3x}	\int\:_{0}^{\infty\:}6e^{-3x}dx
derivative of (x-19/(sqrt(x)-\sqrt{19)})	\frac{d}{dx}(\frac{x-19}{\sqrt{x}-\sqrt{19}})
tangent of f(x)=x^4-13x^2+36,\at x=1	tangent\:f(x)=x^{4}-13x^{2}+36,\at\:x=1
laplacetransform (25t)((t/(25))^2)	laplacetransform\:(25t)((\frac{t}{25})^{2})
derivative of x^2+1/(2x-3x)	\frac{d}{dx}(x^{2}+\frac{1}{2x}-3x)
sum from n=0 to infinity of 1/(2(2)^n)	\sum\:_{n=0}^{\infty\:}\frac{1}{2(2)^{n}}
integral of tan^2(6t)	\int\:\tan^{2}(6t)dt
derivative of x^{3/7}	derivative\:x^{\frac{3}{7}}
(dy}{dx}+\frac{4y)/x =-3x	\frac{dy}{dx}+\frac{4y}{x}=-3x
integral of (2x+1)e^{3x}	\int\:(2x+1)e^{3x}dx
integral of \sqrt[3]{2x}	\int\:\sqrt[3]{2x}dx
derivative of 3/(x^{13)}	derivative\:\frac{3}{x^{13}}
derivative of 3x^3y-y^3	\frac{d}{dx}(3x^{3}y-y^{3})
integral of sqrt(ln(x))	\int\:\sqrt{\ln(x)}dx
integral of 7x^2+5x-5	\int\:7x^{2}+5x-5dx
(\partial)/(\partial x)(xsin^2(x))	\frac{\partial\:}{\partial\:x}(x\sin^{2}(x))
integral of cx^2	\int\:cx^{2}dx
(\partial)/(\partial u(v))((e^v)/(u(v)+v^2))	\frac{\partial\:}{\partial\:u(v)}(\frac{e^{v}}{u(v)+v^{2}})
integral of (x^2-2)/(x-1)	\int\:\frac{x^{2}-2}{x-1}dx
(dx)/(dt)=k+xr	\frac{dx}{dt}=k+xr
derivative of f(x)=x^2cos^4(x)	derivative\:f(x)=x^{2}\cos^{4}(x)
integral of 4t^3	\int\:4t^{3}dt
integral of (x^2-1)/((x^3+x))	\int\:\frac{x^{2}-1}{(x^{3}+x)}dx
derivative of x^4+8x^2-x	\frac{d}{dx}(x^{4}+8x^{2}-x)
integral from 2 to 3 of (3x^2+2x+3)	\int\:_{2}^{3}(3x^{2}+2x+3)dx
y^{''}+11y^'+24y=0	y^{\prime\:\prime\:}+11y^{\prime\:}+24y=0
derivative of (d/(dx(x^5-5))/(x+1))	\frac{d}{dx}(\frac{\frac{d}{dx}(x^{5}-5)}{x+1})
integral of e^{-1/4 x^2}x	\int\:e^{-\frac{1}{4}x^{2}}xdx
integral of 2x(x^2+17)^{13}	\int\:2x(x^{2}+17)^{13}dx
integral of 1/(x^2(4+3x))	\int\:\frac{1}{x^{2}(4+3x)}dx
area y=7x^2,y=x^2+3	area\:y=7x^{2},y=x^{2}+3
tangent of f(x)=(10x)/(x^2-6),\at x=4	tangent\:f(x)=\frac{10x}{x^{2}-6},\at\:x=4
integral of (6x^4+24x^2+4)/(x^3+4x)	\int\:\frac{6x^{4}+24x^{2}+4}{x^{3}+4x}dx
derivative of 1/2 x^2\sqrt[3]{x}	\frac{d}{dx}(\frac{1}{2}x^{2}\sqrt[3]{x})
derivative of f(x)=2x+3	derivative\:f(x)=2x+3
inverse oflaplace ((s+2))/((s^2+9))	inverselaplace\:\frac{(s+2)}{(s^{2}+9)}
derivative of ((sqrt(x)+1^2)/(sqrt(x)))	\frac{d}{dx}(\frac{(\sqrt{x}+1)^{2}}{\sqrt{x}})
area y=x^3,y=2x^2	area\:y=x^{3},y=2x^{2}
integral of 8x^3-9x^2+4	\int\:8x^{3}-9x^{2}+4dx
integral of (8x+3)^4	\int\:(8x+3)^{4}dx
(d^2)/(dx^2)(e^x-x^4)	\frac{d^{2}}{dx^{2}}(e^{x}-x^{4})
area (sqrt(48-2x))-x,[-8,24]	area\:(\sqrt{48-2x})-x,[-8,24]
limit as x approaches infinity of (-5)/x	\lim\:_{x\to\:\infty\:}(\frac{-5}{x})
inverse oflaplace 1/((s-3))	inverselaplace\:\frac{1}{(s-3)}
y^'=xsqrt(1-y^2)	y^{\prime\:}=x\sqrt{1-y^{2}}
integral of (2x^2)/(sqrt(x+1))	\int\:\frac{2x^{2}}{\sqrt{x+1}}dx
d/(dt)(t^2+1)	\frac{d}{dt}(t^{2}+1)
derivative of x/(x+2)	derivative\:\frac{x}{x+2}
5y^'+y=0	5y^{\prime\:}+y=0
integral from 1 to 7 of (sqrt(x^2-1))/x	\int\:_{1}^{7}\frac{\sqrt{x^{2}-1}}{x}dx
d/(dt)(sqrt(t-1))	\frac{d}{dt}(\sqrt{t-1})
derivative of f(x)=645120	derivative\:f(x)=645120
integral from-infinity to 0 of ze^{4z}	\int\:_{-\infty\:}^{0}ze^{4z}dz
tangent of f(x)=(x-5)^5,\at x=6	tangent\:f(x)=(x-5)^{5},\at\:x=6
derivative of x+1/(x^2)	derivative\:x+\frac{1}{x^{2}}
integral of (x^3)/(x^2-2x+1)	\int\:\frac{x^{3}}{x^{2}-2x+1}dx
sum from n=2 to infinity of 6/(5^n)	\sum\:_{n=2}^{\infty\:}\frac{6}{5^{n}}
integral of cos^4(xsi)n^3x	\int\:\cos^{4}(xsi)n^{3}xdx
integral from 1 to 4 of (u-2)/(sqrt(u))	\int\:_{1}^{4}\frac{u-2}{\sqrt{u}}du
(\partial)/(\partial y)((x^2y-y^3)^5)	\frac{\partial\:}{\partial\:y}((x^{2}y-y^{3})^{5})
(dy)/(dx)=(cos(9x))/(e^{9y)}	\frac{dy}{dx}=\frac{\cos(9x)}{e^{9y}}
(\partial)/(\partial x)(z-sqrt(x^2+y^2))	\frac{\partial\:}{\partial\:x}(z-\sqrt{x^{2}+y^{2}})
integral of (4x^2-2)/(x^3-x)	\int\:\frac{4x^{2}-2}{x^{3}-x}dx
integral of x^{1/3}+3	\int\:x^{\frac{1}{3}}+3dx
(\partial)/(\partial x)(xsin(y)+ze^x)	\frac{\partial\:}{\partial\:x}(x\sin(y)+ze^{x})
integral of (6x-7)	\int\:(6x-7)dx
f(x)=(1-2ln(x))/(x^3)	f(x)=\frac{1-2\ln(x)}{x^{3}}
derivative of sin(3x^2)	derivative\:\sin(3x^{2})
area e^x,e^{-2x},x=ln(3)	area\:e^{x},e^{-2x},x=\ln(3)
area x=y^4,y=sqrt(2-x),y=0	area\:x=y^{4},y=\sqrt{2-x},y=0
integral of sec^3(t)	\int\:\sec^{3}(t)dt
limit as x approaches 2 of 3x-2	\lim\:_{x\to\:2}(3x-2)
derivative of (x^2+3^2)	\frac{d}{dx}((x^{2}+3)^{2})
(dy)/(dx)=(e^{x-y})/(1+e^x),y(1)=0	\frac{dy}{dx}=\frac{e^{x-y}}{1+e^{x}},y(1)=0
derivative of x^{1/11}(x-1^2)	\frac{d}{dx}(x^{\frac{1}{11}}(x-1)^{2})
limit as x approaches infinity of 6^-	\lim\:_{x\to\:\infty\:}(6^{-})
derivative of y=log_{10}(e^x)	derivative\:y=\log_{10}(e^{x})
integral of 1/((x+2)(x+5))	\int\:\frac{1}{(x+2)(x+5)}dx
(\partial)/(\partial x)(x/y+sin(2x+3y))	\frac{\partial\:}{\partial\:x}(\frac{x}{y}+\sin(2x+3y))
integral from 0 to 6 of 1/(u^2-36)	\int\:_{0}^{6}\frac{1}{u^{2}-36}du
limit as x approaches 2 of (\|x-2\|)/(x-2)	\lim\:_{x\to\:2}(\frac{\left\|x-2\right\|}{x-2})
integral of bcos(x)	\int\:b\cos(x)dx

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