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Popular Calculus Problems

y^'=ay+b	y^{\prime\:}=ay+b
integral of 1/(x^2)x'	\int\:\frac{1}{x^{2}}x\prime\:dx
inverse oflaplace 6	inverselaplace\:6
taylor 1/x ,x=2	taylor\:\frac{1}{x},x=2
limit as x approaches 1-of x^2	\lim\:_{x\to\:1-}(x^{2})
derivative of sqrt(x)(x-3)^2	derivative\:\sqrt{x}(x-3)^{2}
derivative of 3x(sin(x+cos(x)))	\frac{d}{dx}(3x(\sin(x)+\cos(x)))
(\partial)/(\partial x)(xln(z^6+x^4))	\frac{\partial\:}{\partial\:x}(x\ln(z^{6}+x^{4}))
laplacetransform 2e^{(5t-2)}	laplacetransform\:2\cdot\:e^{(5\cdot\:t-2)}
integral from 1/7 to 5 of 10xln(7x)	\int\:_{\frac{1}{7}}^{5}10x\ln(7x)dx
d/(dt)(1-3t)	\frac{d}{dt}(1-3t)
maclaurin xe^{-x^2}	maclaurin\:xe^{-x^{2}}
integral of (3x)/((2x^2+1)^3)	\int\:\frac{3x}{(2x^{2}+1)^{3}}dx
sum from k=0 to infinity of x^k	\sum\:_{k=0}^{\infty\:}x^{k}
taylor x^2-4,0	taylor\:x^{2}-4,0
derivative of (3e^x/(5e^x+4))	\frac{d}{dx}(\frac{3e^{x}}{5e^{x}+4})
tangent of f(x)=-3/(x^2-4),(1,1)	tangent\:f(x)=-\frac{3}{x^{2}-4},(1,1)
derivative of ln(1+ln(x))	\frac{d}{dx}(\ln(1+\ln(x)))
integral of (1/(x*(5-x)))	\int\:(\frac{1}{x\cdot\:(5-x)})dx
limit as x approaches 0+of 1+csc(x)	\lim\:_{x\to\:0+}(1+\csc(x))
derivative of 3sin(x-4cos(x))	\frac{d}{dx}(3\sin(x)-4\cos(x))
derivative of (1+1/x ^3)	\frac{d}{dx}((1+\frac{1}{x})^{3})
(\partial)/(\partial x)((ln(x))^x)	\frac{\partial\:}{\partial\:x}((\ln(x))^{x})
2sqrt(x)(dy)/(dx)=sqrt(1-y^2)	2\sqrt{x}\frac{dy}{dx}=\sqrt{1-y^{2}}
integral from 0 to 1 of te^{-t}	\int\:_{0}^{1}te^{-t}dt
x(dy)/(dx)=2y	x\frac{dy}{dx}=2y
y^'= 1/(e^y-x)	y^{\prime\:}=\frac{1}{e^{y}-x}
derivative of 2x+2y	\frac{d}{dx}(2x+2y)
derivative of 4arccos(-5x)	\frac{d}{dx}(4\arccos(-5x))
derivative of (sin(x)^4+sin(x^4))	\frac{d}{dx}((\sin(x))^{4}+\sin(x^{4}))
inverse oflaplace 1/(4s+2)	inverselaplace\:\frac{1}{4s+2}
d/(dθ)(2θ)	\frac{d}{dθ}(2θ)
derivative of x^2tan(xy)	\frac{d}{dx}(x^{2}\tan(xy))
derivative of (3x+1/(7x+5))	\frac{d}{dx}(\frac{3x+1}{7x+5})
derivative of (x^x/(sin(x)))	\frac{d}{dx}(\frac{x^{x}}{\sin(x)})
(dy)/(dx)=k*y^2	\frac{dy}{dx}=k\cdot\:y^{2}
(dy)/(dx)= 1/(1+x)	\frac{dy}{dx}=\frac{1}{1+x}
derivative of f(x)=-12x^2+400x-3800	derivative\:f(x)=-12x^{2}+400x-3800
tangent of 3x-4x^2	tangent\:3x-4x^{2}
integral of (1-sin^2(x))cos(x)	\int\:(1-\sin^{2}(x))\cos(x)dx
derivative of (x^5-5/(x+1))	\frac{d}{dx}(\frac{x^{5}-5}{x+1})
integral of 2y-2	\int\:2y-2dy
inverse oflaplace 1/(s(s^2+6pis+pi^2))	inverselaplace\:\frac{1}{s(s^{2}+6πs+π^{2})}
integral of (3tan(x)-4cos^2(x))/(cos(x))	\int\:\frac{3\tan(x)-4\cos^{2}(x)}{\cos(x)}dx
integral of ((x-1)^5+3(x-1)^2+5)	\int\:((x-1)^{5}+3(x-1)^{2}+5)dx
(\partial)/(\partial x)(e^x(sin(y)-y))	\frac{\partial\:}{\partial\:x}(e^{x}(\sin(y)-y))
limit as x approaches+1+of sqrt(2x-2)-2	\lim\:_{x\to\:+1+}(\sqrt{2x-2}-2)
integral of 1/(x-7)	\int\:\frac{1}{x-7}dx
integral of (6x-5)/(3x^2+5)	\int\:\frac{6x-5}{3x^{2}+5}dx
y^'=(x^2y^4+2x^2)/(y^3)	y^{\prime\:}=\frac{x^{2}y^{4}+2x^{2}}{y^{3}}
integral of (1+e^{2x})/(e^x)	\int\:\frac{1+e^{2x}}{e^{x}}dx
integral of 9/(x+2)	\int\:\frac{9}{x+2}dx
limit as x approaches 4-of 3/(x-4)	\lim\:_{x\to\:4-}(\frac{3}{x-4})
derivative of (4x)/(sqrt(x^2+6))	derivative\:\frac{4x}{\sqrt{x^{2}+6}}
integral of 9sin^2(x)cos^3(x)	\int\:9\sin^{2}(x)\cos^{3}(x)dx
limit as x approaches 1-of xln(x)	\lim\:_{x\to\:1-}(x\ln(x))
taylor 5/x ,1	taylor\:\frac{5}{x},1
integral of (tan(2x)+cot(2x))^2	\int\:(\tan(2x)+\cot(2x))^{2}dx
tangent of (6x)/((3-2x)^3)	tangent\:\frac{6x}{(3-2x)^{3}}
integral of ((x^2)/(x+1))	\int\:(\frac{x^{2}}{x+1})dx
f(x)=-3x	f(x)=-3x
tangent of x^3-27x	tangent\:x^{3}-27x
x^2y^'-ysqrt(x)=0	x^{2}y^{\prime\:}-y\sqrt{x}=0
integral from 0 to 1 of kx	\int\:_{0}^{1}kxdx
derivative of y=cos(x^2)	derivative\:y=\cos(x^{2})
taylor 2.5x^3-3x{2}	taylor\:2.5x^{3}-3x\left\{2\right\}
tangent of y=x^3-9x	tangent\:y=x^{3}-9x
integral of-1/x	\int\:-\frac{1}{x}dx
(\partial)/(\partial x)(sqrt(x^2+y^3))	\frac{\partial\:}{\partial\:x}(\sqrt{x^{2}+y^{3}})
derivative of y-1/((x+3))	\frac{d}{dx}(y-\frac{1}{(x+3)})
(dy)/(dx)-7y=e^x	\frac{dy}{dx}-7y=e^{x}
(\partial)/(\partial x)(((u-v))/(u+v))	\frac{\partial\:}{\partial\:x}(\frac{(u-v)}{u+v})
integral of sqrt(1+(x)^2)	\int\:\sqrt{1+(x)^{2}}dx
integral of (x+2)(x-6)	\int\:(x+2)(x-6)dx
9y^{''}-6y^'+15y=0	9y^{\prime\:\prime\:}-6y^{\prime\:}+15y=0
integral of sin(10x)cos(7x)	\int\:\sin(10x)\cos(7x)dx
integral of xe^{x^2}	\int\:xe^{x^{2}}dx
derivative of (x+1/(2x))	\frac{d}{dx}(\frac{x+1}{2x})
integral from 0 to pi/4 of sin(4t)	\int\:_{0}^{\frac{π}{4}}\sin(4t)dt
derivative of ln((x-2)/(x+2))	derivative\:\ln(\frac{x-2}{x+2})
derivative of ((x^3-1/(x^3+1))^8)	\frac{d}{dx}((\frac{x^{3}-1}{x^{3}+1})^{8})
f(x)=sin^3(3x)	f(x)=\sin^{3}(3x)
f(t)=cos(2t)	f(t)=\cos(2t)
derivative of 2*cos(x)	\frac{d}{dx}(2\cdot\:\cos(x))
(d^3)/(dx^3)(2sin(2x))	\frac{d^{3}}{dx^{3}}(2\sin(2x))
integral of x^3ln(x^4)	\int\:x^{3}\ln(x^{4})dx
derivative of (x^2+2x-2/((x+1)^2))	\frac{d}{dx}(\frac{x^{2}+2x-2}{(x+1)^{2}})
derivative of (e^x/(sin(x)))	\frac{d}{dx}(\frac{e^{x}}{\sin(x)})
derivative of sec^2(x)-tan^2(x)	derivative\:\sec^{2}(x)-\tan^{2}(x)
derivative of sin(x+1/(sqrt(x)))	\frac{d}{dx}(\sin(x)+\frac{1}{\sqrt{x}})
sum from n=2 to infinity of 1/(n^n)	\sum\:_{n=2}^{\infty\:}\frac{1}{n^{n}}
sum from n=0 to infinity of (1+1/n)^n	\sum\:_{n=0}^{\infty\:}(1+\frac{1}{n})^{n}
derivative of \sqrt[3]{sec(5x})	\frac{d}{dx}(\sqrt[3]{\sec(5x)})
limit as x approaches 1 of 4x-x^2	\lim\:_{x\to\:1}(4x-x^{2})
tangent of y=x^3-3x^2+2,(3,2)	tangent\:y=x^{3}-3x^{2}+2,(3,2)
y^{''}+36y=48sec(6t)	y^{\prime\:\prime\:}+36y=48\sec(6t)
sin(x)y^'+cos(x)y=0	\sin(x)y^{\prime\:}+\cos(x)y=0
inverse oflaplace (9s)/((s+9)^2)	inverselaplace\:\frac{9s}{(s+9)^{2}}
integral of (ln(x))x	\int\:(\ln(x))xdx
integral of 2pi	\int\:2πdx

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