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Popular Calculus Problems

derivative of 0,81x-1,14sqrt(x)+1.53	\frac{d}{dx}(0,81x-1,14\sqrt{x}+1.53)
integral of e^{-4x}tan(e^{-4x})	\int\:e^{-4x}\tan(e^{-4x})dx
integral of (ln(x))/(x^{15)}	\int\:\frac{\ln(x)}{x^{15}}dx
(\partial)/(\partial x)(9x^{2y})	\frac{\partial\:}{\partial\:x}(9x^{2y})
tangent of x^4+9x^2-x	tangent\:x^{4}+9x^{2}-x
tangent of (x^3)/3+2x^2+4x-1	tangent\:\frac{x^{3}}{3}+2x^{2}+4x-1
taylor (log_{10}(2-x))/(x+3)	taylor\:\frac{\log_{10}(2-x)}{x+3}
derivative of (4x-5^2)	\frac{d}{dx}((4x-5)^{2})
sum from n=5 to infinity of 1/(n^2-1)	\sum\:_{n=5}^{\infty\:}\frac{1}{n^{2}-1}
limit as x approaches 0 of 6x+3	\lim\:_{x\to\:0}(6x+3)
integral of ax+bx^2	\int\:ax+bx^{2}dx
limit as x approaches-2+of 2-x	\lim\:_{x\to\:-2+}(2-x)
(\partial)/(\partial y)(2e^xy)	\frac{\partial\:}{\partial\:y}(2e^{x}y)
normal of y=sqrt(x),(4,2)	normal\:y=\sqrt{x},(4,2)
limit as x approaches infinity of 2^{-x}	\lim\:_{x\to\:\infty\:}(2^{-x})
integral of 5sin^4(x)	\int\:5\sin^{4}(x)dx
derivative of y=x(2x+1)^3	derivative\:y=x(2x+1)^{3}
integral of 10-t	\int\:10-tdt
derivative of y=x^{-2}	derivative\:y=x^{-2}
inverse oflaplace (s+1)/(s^2(s-1))	inverselaplace\:\frac{s+1}{s^{2}(s-1)}
derivative of (x^2/8)	\frac{d}{dx}(\frac{x^{2}}{8})
y^{''}+8y^'+12y=0	y^{\prime\:\prime\:}+8y^{\prime\:}+12y=0
inverse oflaplace (0.5)/((s^2+s+1))*1/s	inverselaplace\:\frac{0.5}{(s^{2}+s+1)}\cdot\:\frac{1}{s}
derivative of f(x)=pi^2	derivative\:f(x)=π^{2}
derivative of (3x^2+5^4)	\frac{d}{dx}((3x^{2}+5)^{4})
taylor e^{-7x}	taylor\:e^{-7x}
derivative of y=x^3(8x+12)	derivative\:y=x^{3}(8x+12)
f^'(x)=sqrt(1-3x)	f^{\prime\:}(x)=\sqrt{1-3x}
(\partial)/(\partial x)(1/y+xln(y))	\frac{\partial\:}{\partial\:x}(\frac{1}{y}+x\ln(y))
slope of (-1,-1),(4,-4)	slope\:(-1,-1),(4,-4)
limit as x approaches 0 of x/(1-e^x)	\lim\:_{x\to\:0}(\frac{x}{1-e^{x}})
integral of 2x-3y	\int\:2x-3ydx
integral of 3/2 y^2	\int\:\frac{3}{2}y^{2}dy
(\partial)/(\partial x)((x^2y^4)(-2.1))	\frac{\partial\:}{\partial\:x}((x^{2}y^{4})(-2.1))
inverse oflaplace 3/(4e^{(2-t))sin(8-4t)}	inverselaplace\:\frac{3}{4e^{(2-t)}\sin(8-4t)}
(\partial)/(\partial x)(y*e^x)	\frac{\partial\:}{\partial\:x}(y\cdot\:e^{x})
derivative of (800t)/(t+2)	derivative\:\frac{800t}{t+2}
sum from n=1 to infinity of 2^{-n}	\sum\:_{n=1}^{\infty\:}2^{-n}
derivative of-16cos(4t)	derivative\:-16\cos(4t)
derivative of (3x^2-3x)e^x	derivative\:(3x^{2}-3x)e^{x}
derivative of 1/(x(1+ln(x)^2))	\frac{d}{dx}(\frac{1}{x(1+\ln(x))^{2}})
limit as n approaches infinity of {3}	\lim\:_{n\to\:\infty\:}(\left\{3\right\})
derivative of (-5/(2x^6-4x^3-6x))	\frac{d}{dx}(\frac{-5}{2x^{6}-4x^{3}-6x})
tangent of f(x)=2sqrt(x)+4/x ,\at x=4	tangent\:f(x)=2\sqrt{x}+\frac{4}{x},\at\:x=4
derivative of g(x)= 8/(x+2)	derivative\:g(x)=\frac{8}{x+2}
integral of 2/pi x	\int\:\frac{2}{π}xdx
(cos(x)sin(x)-xy^2)dx+y(1-x^2)dy=0	(\cos(x)\sin(x)-xy^{2})dx+y(1-x^{2})dy=0
slope of sin(2θ)	slope\:\sin(2θ)
d/(dt)(10cos(t))	\frac{d}{dt}(10\cos(t))
integral of sqrt(4-(x-2)^2)	\int\:\sqrt{4-(x-2)^{2}}dx
derivative of (x^{3/2}/3)	\frac{d}{dx}(\frac{x^{\frac{3}{2}}}{3})
integral from 0 to 1 of (1-x^3)^2	\int\:_{0}^{1}(1-x^{3})^{2}dx
derivative of g(x)=ln(2x^2+4)	derivative\:g(x)=\ln(2x^{2}+4)
derivative of (6t-1)(4t-4)^{-1}	derivative\:(6t-1)(4t-4)^{-1}
derivative of x^4-2ax^2-y+3	\frac{d}{dx}(x^{4}-2ax^{2}-y+3)
integral of 2x(x^2+10)^3	\int\:2x(x^{2}+10)^{3}dx
integral of e^{8x}cos(5x)	\int\:e^{8x}\cos(5x)dx
tangent of f(x)=2e^x+x,\at x=0	tangent\:f(x)=2e^{x}+x,\at\:x=0
derivative of f(x)=tsin(t)	derivative\:f(x)=t\sin(t)
area y=8x,y=x^2	area\:y=8x,y=x^{2}
derivative of f(x)=6x^3-84x^2+11000x	derivative\:f(x)=6x^{3}-84x^{2}+11000x
derivative of h(x)=(5-6x)^5	derivative\:h(x)=(5-6x)^{5}
(\partial)/(\partial x)(5x^2y-x+3y^3)	\frac{\partial\:}{\partial\:x}(5x^{2}y-x+3y^{3})
integral of (5x)/(x^2+8)	\int\:\frac{5x}{x^{2}+8}dx
limit as x approaches 4 of sqrt(x+5)-3	\lim\:_{x\to\:4}(\sqrt{x+5}-3)
(\partial)/(\partial x)(e^{x-2y})	\frac{\partial\:}{\partial\:x}(e^{x-2y})
integral of (1/(1+cos(x)))	\int\:(\frac{1}{1+\cos(x)})dx
limit as x approaches 0 of x^2cxcx	\lim\:_{x\to\:0}(x^{2}cxcx)
derivative of tanh(x-1)	\frac{d}{dx}(\tanh(x-1))
derivative of x^2-x^4	\frac{d}{dx}(x^{2}-x^{4})
area x^4-4x^2+2,x^2-2,-2,-1	area\:x^{4}-4x^{2}+2,x^{2}-2,-2,-1
y^'=e^{y/x}+y/x	y^{\prime\:}=e^{\frac{y}{x}}+\frac{y}{x}
maclaurin x^2e^{2x}	maclaurin\:x^{2}e^{2x}
integral of (4x)	\int\:(4x)dx
integral of z/(x-3)	\int\:\frac{z}{x-3}dx
integral of x^2+5x	\int\:x^{2}+5xdx
(\partial)/(\partial x)(5x^4+x^3y+xy+y^4)	\frac{\partial\:}{\partial\:x}(5x^{4}+x^{3}y+xy+y^{4})
(\partial)/(\partial y)(4xy^2)	\frac{\partial\:}{\partial\:y}(4xy^{2})
(dy)/(dx)+e^xy^2=x^2y^2	\frac{dy}{dx}+e^{x}y^{2}=x^{2}y^{2}
derivative of 4sec(7x)	\frac{d}{dx}(4\sec(7x))
derivative of 22-x	\frac{d}{dx}(22-x)
integral of 1/(y+y^2)	\int\:\frac{1}{y+y^{2}}dy
derivative of f(t)=t^3-t^2	derivative\:f(t)=t^{3}-t^{2}
integral of (e^x)/((e^x-1)(e^x+4))	\int\:\frac{e^{x}}{(e^{x}-1)(e^{x}+4)}dx
integral from 0 to pi of pi(5sin^2(x))^2	\int\:_{0}^{π}π(5\sin^{2}(x))^{2}dx
integral of x/(sqrt(x^2+x+3))	\int\:\frac{x}{\sqrt{x^{2}+x+3}}dx
(\partial)/(\partial x)((x-2y)/(y^2+5x^2))	\frac{\partial\:}{\partial\:x}(\frac{x-2y}{y^{2}+5x^{2}})
derivative of 1/2 (6t+4)^{-1/2}	derivative\:\frac{1}{2}(6t+4)^{-\frac{1}{2}}
integral from 0 to 7 of 1/((6-2x)^{1/3)}	\int\:_{0}^{7}\frac{1}{(6-2x)^{\frac{1}{3}}}dx
derivative of 2x^3-6x+5	\frac{d}{dx}(2x^{3}-6x+5)
limit as x approaches 3 of ((x))/(x-3)	\lim\:_{x\to\:3}(\frac{(x)}{x-3})
limit as t approaches 0 of arctan(1/t)	\lim\:_{t\to\:0}(\arctan(\frac{1}{t}))
derivative of 1\sqrt[3]{x}	\frac{d}{dx}(1\sqrt[3]{x})
(\partial)/(\partial x)(2ln(x^2+y^2))	\frac{\partial\:}{\partial\:x}(2\ln(x^{2}+y^{2}))
(\partial)/(\partial x)(e^{x+t})	\frac{\partial\:}{\partial\:x}(e^{x+t})
(\partial)/(\partial x)(6e^{xy})	\frac{\partial\:}{\partial\:x}(6e^{xy})
derivative of e^x-x-1	\frac{d}{dx}(e^{x}-x-1)
y^'+y-x^2-2x=0	y^{\prime\:}+y-x^{2}-2x=0
((2y)/x+(2x^4)/3)dx-dy=0	(\frac{2y}{x}+\frac{2x^{4}}{3})dx-dy=0
integral of r^2((r^3)/(18)-1)^5	\int\:r^{2}(\frac{r^{3}}{18}-1)^{5}dr

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