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Popular Calculus Problems

(\partial)/(\partial y)(x^2e^{y^2})	\frac{\partial\:}{\partial\:y}(x^{2}e^{y^{2}})
derivative of 5x^3sqrt(5x-2)	\frac{d}{dx}(5x^{3}\sqrt{5x-2})
integral of 1-x^2+1/2 x^4	\int\:1-x^{2}+\frac{1}{2}x^{4}dx
taylor x^3-2x^2+3x-5,2	taylor\:x^{3}-2x^{2}+3x-5,2
limit as x approaches 4 of 2x^2-11x	\lim\:_{x\to\:4}(2x^{2}-11x)
derivative of (42/(x^4))	\frac{d}{dx}(\frac{42}{x^{4}})
limit as x approaches 0 of x^2+3	\lim\:_{x\to\:0}(x^{2}+3)
y^'x^2+2xy=5y^3	y^{\prime\:}x^{2}+2xy=5y^{3}
integral of (4x^2+x+4)/(x^3-1)	\int\:\frac{4x^{2}+x+4}{x^{3}-1}dx
tangent of y=(1+4x)^{10},(0,1)	tangent\:y=(1+4x)^{10},(0,1)
3(dy)/(dx)=e^{y-6x}	3\frac{dy}{dx}=e^{y-6x}
derivative of 2(2xe^{2x}+e^{2x}*2x^2)	\frac{d}{dx}(2(2xe^{2x}+e^{2x}\cdot\:2x^{2}))
limit as x approaches-2 of x/((x+2)^3)	\lim\:_{x\to\:-2}(\frac{x}{(x+2)^{3}})
integral of xsec(x^2)tan(x^2)	\int\:x\sec(x^{2})\tan(x^{2})dx
derivative of f(x)=(2x^3-4x^2+3)/x	derivative\:f(x)=\frac{2x^{3}-4x^{2}+3}{x}
(\partial)/(\partial y)(e^xtan(y))	\frac{\partial\:}{\partial\:y}(e^{x}\tan(y))
integral of 4x^{-1}-4^x+10e^{2x}-8x	\int\:4x^{-1}-4^{x}+10e^{2x}-8xdx
derivative of (x-7^2)	\frac{d}{dx}((x-7)^{2})
integral of x^3*e^{-x^2}	\int\:x^{3}\cdot\:e^{-x^{2}}dx
limit as x approaches infinity of arctan(ln(x))	\lim\:_{x\to\:\infty\:}(\arctan(\ln(x)))
(d^3)/(dx^3)(6/x)	\frac{d^{3}}{dx^{3}}(\frac{6}{x})
integral of (e^x)/(1+2e^x)	\int\:\frac{e^{x}}{1+2e^{x}}dx
derivative of 4x^{5/4}+8x^{3/2}+10x	derivative\:4x^{\frac{5}{4}}+8x^{\frac{3}{2}}+10x
(\partial)/(\partial x)(e^{t-x})	\frac{\partial\:}{\partial\:x}(e^{t-x})
ty^'-2y=t^4	ty^{\prime\:}-2y=t^{4}
integral from 0 to 1 of sin(x)e^x	\int\:_{0}^{1}\sin(x)e^{x}dx
inverse oflaplace 1/s-(s+8)/(s^2+8s+25)	inverselaplace\:\frac{1}{s}-\frac{s+8}{s^{2}+8s+25}
integral of \|x-3\|	\int\:\left\|x-3\right\|dx
derivative of f(x)=((x+2)/(x-2))^5	derivative\:f(x)=(\frac{x+2}{x-2})^{5}
derivative of f(x)=x^2sqrt(1-x^2)	derivative\:f(x)=x^{2}\sqrt{1-x^{2}}
(\partial)/(\partial x)(3xe^{x^2+y^2})	\frac{\partial\:}{\partial\:x}(3xe^{x^{2}+y^{2}})
integral of (cos(x))/(sin^2(x)-49)	\int\:\frac{\cos(x)}{\sin^{2}(x)-49}dx
derivative of tan^2(x^2-5x)	\frac{d}{dx}(\tan^{2}(x^{2}-5x))
limit as x approaches 0 of 8/(6+e^x)	\lim\:_{x\to\:0}(\frac{8}{6+e^{x}})
derivative of 0.5cos(2pit)	derivative\:0.5\cos(2πt)
(\partial)/(\partial x)(4xy^3+1)	\frac{\partial\:}{\partial\:x}(4xy^{3}+1)
f(x)= 1/x-ln(x)	f(x)=\frac{1}{x}-\ln(x)
sum from n=1 to infinity of (7^n)/(n!)	\sum\:_{n=1}^{\infty\:}\frac{7^{n}}{n!}
tangent of f(x)=pi(10-pi/3)x^2,\at x=3	tangent\:f(x)=π(10-\frac{π}{3})x^{2},\at\:x=3
derivative of (18/(x^3))	\frac{d}{dx}(\frac{18}{x^{3}})
limit as x approaches 0+of sqrt(x)*ln(x)	\lim\:_{x\to\:0+}(\sqrt{x}\cdot\:\ln(x))
integral from 1 to 12 of 8x^{-2}	\int\:_{1}^{12}8x^{-2}dx
derivative of (3+csc(x)/(7-csc(x)))	\frac{d}{dx}(\frac{3+\csc(x)}{7-\csc(x)})
y^'=y+1+2sin(t)	y^{\prime\:}=y+1+2\sin(t)
limit as x approaches 0+of (2x)/(ln(x))	\lim\:_{x\to\:0+}(\frac{2x}{\ln(x)})
integral of (cos(x))/(cos(x))	\int\:\frac{\cos(x)}{\cos(x)}dx
tangent of 8x^2+xy+8y^2=17,(1,1)	tangent\:8x^{2}+xy+8y^{2}=17,(1,1)
derivative of y=4x^3-12x+3	derivative\:y=4x^{3}-12x+3
integral of x^2-5x+2	\int\:x^{2}-5x+2dx
slope of (-2.7)(-3.4)	slope\:(-2.7)(-3.4)
integral of (14)/((t^2+1)^{3/2)}	\int\:\frac{14}{(t^{2}+1)^{\frac{3}{2}}}dt
derivative of 2^{3x^4-3x}	\frac{d}{dx}(2^{3x^{4}-3x})
(\partial)/(\partial x)(((2x-4y))/(2x+4y))	\frac{\partial\:}{\partial\:x}(\frac{(2x-4y)}{2x+4y})
integral of sin^{-2}(x)	\int\:\sin^{-2}(x)dx
derivative of sqrt(20-x^2)	\frac{d}{dx}(\sqrt{20-x^{2}})
limit as x approaches 6 of f(x)	\lim\:_{x\to\:6}(f(x))
integral of t/(1-t^3)	\int\:\frac{t}{1-t^{3}}dt
(dy)/(dx)=x+4y	\frac{dy}{dx}=x+4y
(\partial)/(\partial x)(y/(y-x))	\frac{\partial\:}{\partial\:x}(\frac{y}{y-x})
integral from 1 to 2 of 4xsqrt(3x^2-1)	\int\:_{1}^{2}4x\sqrt{3x^{2}-1}dx
derivative of f(x)=(pix)^2	derivative\:f(x)=(πx)^{2}
derivative of y=e^x2^x	derivative\:y=e^{x}2^{x}
area y=2x^2,x=2,y=0	area\:y=2x^{2},x=2,y=0
derivative of sec^2(t)	derivative\:\sec^{2}(t)
derivative of ln(x^9)	derivative\:\ln(x^{9})
derivative of e^x+e^x*x	\frac{d}{dx}(e^{x}+e^{x}\cdot\:x)
integral of (x^5)/(x+1)	\int\:\frac{x^{5}}{x+1}dx
derivative of (4x)/(x-5)	derivative\:\frac{4x}{x-5}
derivative of y=tan(t/(1+t^2))	derivative\:y=\tan(\frac{t}{1+t^{2}})
integral from 0 to 1 of 4pi(x^2-x^{10})	\int\:_{0}^{1}4π(x^{2}-x^{10})dx
tangent of 3/x	tangent\:\frac{3}{x}
integral of 2x(x^2+5)^5	\int\:2x(x^{2}+5)^{5}dx
inverse oflaplace (280)/(s^2+14s+245)	inverselaplace\:\frac{280}{s^{2}+14s+245}
integral of sqrt(m+nx)	\int\:\sqrt{m+nx}dx
derivative of (1-5x^{-2})	\frac{d}{dx}((1-5x)^{-2})
tangent of y=e^{3x}cos(pix),(0,1)	tangent\:y=e^{3x}\cos(πx),(0,1)
(\partial)/(\partial y)(sin(yz))	\frac{\partial\:}{\partial\:y}(\sin(yz))
integral of-(2x)/((x^2-2)^3)	\int\:-\frac{2x}{(x^{2}-2)^{3}}dx
integral of (2x^2-x+3)/x	\int\:\frac{2x^{2}-x+3}{x}dx
limit as h approaches 0 of (sin(h))/h	\lim\:_{h\to\:0}(\frac{\sin(h)}{h})
y^{''}-y=t	y^{\prime\:\prime\:}-y=t
integral of (-1)/(sin(x))	\int\:\frac{-1}{\sin(x)}dx
integral from 0 to 4 of x^{1/2}	\int\:_{0}^{4}x^{\frac{1}{2}}dx
y^'x+2y=-2e^x	y^{\prime\:}x+2y=-2e^{x}
sum from n=0 to infinity of n!(x-2)^n	\sum\:_{n=0}^{\infty\:}n!(x-2)^{n}
derivative of x/(sqrt(x)+7)	derivative\:\frac{x}{\sqrt{x}+7}
integral of sin^2((npix)/a)	\int\:\sin^{2}(\frac{nπx}{a})dx
integral of ln(x^9)	\int\:\ln(x^{9})dx
derivative of 8/3	\frac{d}{dx}(\frac{8}{3})
area sqrt(x+2), 1/(x+1),0,2	area\:\sqrt{x+2},\frac{1}{x+1},0,2
(dy)/(dx)=((2x+2xy^2))/((y+2x^2y))	\frac{dy}{dx}=\frac{(2x+2xy^{2})}{(y+2x^{2}y)}
derivative of sqrt(x^2+9)	derivative\:\sqrt{x^{2}+9}
integral of (42)/(1-cos(6x))	\int\:\frac{42}{1-\cos(6x)}dx
integral of (2xy^3)	\int\:(2xy^{3})dx
limit as x approaches 0 of x/(x^2-x)	\lim\:_{x\to\:0}(\frac{x}{x^{2}-x})
y^'=e^{3x+y}	y^{\prime\:}=e^{3x+y}
derivative of (3x^{1/2}/2)	\frac{d}{dx}(\frac{3x^{\frac{1}{2}}}{2})
integral of x(e^{-5x})	\int\:x(e^{-5x})dx
derivative of y=ln(7x)	derivative\:y=\ln(7x)
integral of sqrt(x)sqrt(49-x)	\int\:\sqrt{x}\sqrt{49-x}dx

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