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Popular Calculus Problems

integral of (3x-4)	\int\:(3x-4)dx
tangent of x^4-13x^2+36	tangent\:x^{4}-13x^{2}+36
derivative of y=ln(8x^2-7x+9)	derivative\:y=\ln(8x^{2}-7x+9)
derivative of f(t)=e^{9tsin(2t)}	derivative\:f(t)=e^{9t\sin(2t)}
y^{''}+49y=sec^2(7x)	y^{\prime\:\prime\:}+49y=\sec^{2}(7x)
derivative of (x^2)/(x+8)	derivative\:\frac{x^{2}}{x+8}
(\partial)/(\partial x)(x^3y^2+2x^2y+x-1)	\frac{\partial\:}{\partial\:x}(x^{3}y^{2}+2x^{2}y+x-1)
integral of 3sec^{-2}(xta)n^3x	\int\:3\sec^{-2}(xta)n^{3}xdx
limit as x approaches 9 of 2x^2-3	\lim\:_{x\to\:9}(2x^{2}-3)
derivative of v(t)=30-t^2	derivative\:v(t)=30-t^{2}
(\partial)/(\partial x)(sin(x^3)+3xy)	\frac{\partial\:}{\partial\:x}(\sin(x^{3})+3xy)
laplacetransform t^2cos(4t)	laplacetransform\:t^{2}\cos(4t)
tangent of y=x^2-8x,\at x=-9	tangent\:y=x^{2}-8x,\at\:x=-9
integral of ye	\int\:yedy
integral of 1/(x^2-2x+2)	\int\:\frac{1}{x^{2}-2x+2}dx
integral of cos(x)sqrt(9-sin^2(x))	\int\:\cos(x)\sqrt{9-\sin^{2}(x)}dx
limit as x approaches 2 of 4x-1	\lim\:_{x\to\:2}(4x-1)
7xy^'-2y=(-x^2)/(y^6)	7xy^{\prime\:}-2y=\frac{-x^{2}}{y^{6}}
integral of cos(x)+1	\int\:\cos(x)+1dx
tangent of f(x)=(x^2)/2 ,\at x=5	tangent\:f(x)=\frac{x^{2}}{2},\at\:x=5
(dy)/(dx)x^2y+xy^2=6	\frac{dy}{dx}x^{2}y+xy^{2}=6
inverse oflaplace e^{-0.1s}	inverselaplace\:e^{-0.1s}
derivative of 125sin(5x)	\frac{d}{dx}(125\sin(5x))
limit as x approaches 0 of xe^{cos(1/x)}	\lim\:_{x\to\:0}(xe^{\cos(\frac{1}{x})})
area x^2-2,x	area\:x^{2}-2,x
integral from 1 to 25 of sqrt(t)ln(t)	\int\:_{1}^{25}\sqrt{t}\ln(t)dt
limit as x approaches 5 of x-5	\lim\:_{x\to\:5}(x-5)
tangent of sqrt(1+x^3)	tangent\:\sqrt{1+x^{3}}
derivative of y=((x+1)(x-3)^3)	derivative\:y=((x+1)(x-3)^{3})
laplacetransform 5te^{-5t}	laplacetransform\:5te^{-5t}
integral of (7sqrt(x^2-1))/(x^2)	\int\:\frac{7\sqrt{x^{2}-1}}{x^{2}}dx
tangent of f(x)= 1/x ,\at x=1	tangent\:f(x)=\frac{1}{x},\at\:x=1
(\partial)/(\partial x)((x^2)/(x+1))	\frac{\partial\:}{\partial\:x}(\frac{x^{2}}{x+1})
derivative of 5x^2+3x	\frac{d}{dx}(5x^{2}+3x)
integral of (x+5)/(x^2+x-2)	\int\:\frac{x+5}{x^{2}+x-2}dx
derivative of x^2+3x-1	derivative\:x^{2}+3x-1
y^{''}-2y^'+y=12te^t+2e^t+t-4	y^{\prime\:\prime\:}-2y^{\prime\:}+y=12te^{t}+2e^{t}+t-4
derivative of 8x-2x^2	\frac{d}{dx}(8x-2x^{2})
derivative of (x^2)/2	derivative\:\frac{x^{2}}{2}
derivative of f(x)=(x+8)^{3x}	derivative\:f(x)=(x+8)^{3x}
area sin^2(x),sin^4(x)	area\:\sin^{2}(x),\sin^{4}(x)
limit as x approaches-6 of sqrt(36-x^2)	\lim\:_{x\to\:-6}(\sqrt{36-x^{2}})
(\partial)/(\partial y)(xy+x^4+y^4)	\frac{\partial\:}{\partial\:y}(xy+x^{4}+y^{4})
integral from 1 to 2 of 4x^{3/2}	\int\:_{1}^{2}4x^{\frac{3}{2}}dx
integral of cos(3x)cos(x)	\int\:\cos(3x)\cos(x)dx
3(1+x^2)y^'=2xy(y^3-1)	3(1+x^{2})y^{\prime\:}=2xy(y^{3}-1)
tangent of f(t)=2-4/t ,(4,1)	tangent\:f(t)=2-\frac{4}{t},(4,1)
derivative of x^2+(a^4/(x^2))	\frac{d}{dx}(x^{2}+\frac{a^{4}}{x^{2}})
(dy)/(dx)=(x-1)/(y-4)	\frac{dy}{dx}=\frac{x-1}{y-4}
derivative of (x-4/x)	\frac{d}{dx}(\frac{x-4}{x})
sum from n=1 to infinity of 1/(4n)	\sum\:_{n=1}^{\infty\:}\frac{1}{4n}
derivative of x^3-(3x^2/2)	\frac{d}{dx}(x^{3}-\frac{3x^{2}}{2})
integral of 1/20 x	\int\:\frac{1}{20}xdx
y^'=2y^2sin(x)	y^{\prime\:}=2y^{2}\sin(x)
derivative of (t-2)^2	derivative\:(t-2)^{2}
limit as x approaches c of (x-c)/(2x-2c)	\lim\:_{x\to\:c}(\frac{x-c}{2x-2c})
integral of-2/t	\int\:-\frac{2}{t}dt
slope of 2(x^2+y^2)^2-25(x^2-y^2)	slope\:2(x^{2}+y^{2})^{2}-25(x^{2}-y^{2})
(\partial)/(\partial x)(-sin(x)y)	\frac{\partial\:}{\partial\:x}(-\sin(x)y)
integral of 1/(pisqrt(x(1-x)))	\int\:\frac{1}{π\sqrt{x(1-x)}}dx
integral of (x^2)/((x-5)^3)	\int\:\frac{x^{2}}{(x-5)^{3}}dx
derivative of cos(2-7x)	\frac{d}{dx}(\cos(2-7x))
derivative of x/(5-x)	derivative\:\frac{x}{5-x}
derivative of f(x)=(2x-8)^4(x^2+x+1)^5	derivative\:f(x)=(2x-8)^{4}(x^{2}+x+1)^{5}
normal of y=x^2-4x,(5,5)	normal\:y=x^{2}-4x,(5,5)
(\partial)/(\partial x)(x^2e^{yz})	\frac{\partial\:}{\partial\:x}(x^{2}e^{yz})
derivative of x\sqrt[3]{1-x^2}	derivative\:x\sqrt[3]{1-x^{2}}
integral of (sin(log_{10}(x)))/x	\int\:\frac{\sin(\log_{10}(x))}{x}dx
integral of 1/8 x^2	\int\:\frac{1}{8}x^{2}dx
integral from 0 to infinity of te^{-st}	\int\:_{0}^{\infty\:}te^{-st}dt
(d^2)/(dx^2)(7x\sqrt[3]{x})	\frac{d^{2}}{dx^{2}}(7x\sqrt[3]{x})
-y^'+(4y)/x =(y^2)/(x^3)	-y^{\prime\:}+\frac{4y}{x}=\frac{y^{2}}{x^{3}}
derivative of 4(2x-5^{-1/2})	\frac{d}{dx}(4(2x-5)^{-\frac{1}{2}})
(\partial)/(\partial x)(2ysin(x))	\frac{\partial\:}{\partial\:x}(2y\sin(x))
integral from 0 to 3 of e^xsin(x)	\int\:_{0}^{3}e^{x}\sin(x)dx
derivative of f(x)=(x^3)/3+1/(4x)	derivative\:f(x)=\frac{x^{3}}{3}+\frac{1}{4x}
integral of e^{x^3}x^5	\int\:e^{x^{3}}x^{5}dx
derivative of s(t)= 9/(t^2+9t-3)	derivative\:s(t)=\frac{9}{t^{2}+9t-3}
integral of (1/(2x^2))	\int\:(\frac{1}{2x^{2}})dx
y^{''}+3y^'+y=1	y^{\prime\:\prime\:}+3y^{\prime\:}+y=1
derivative of (x^2+2x-1*(2x^2-3x+6))	\frac{d}{dx}((x^{2}+2x-1)\cdot\:(2x^{2}-3x+6))
integral of 2e^{-x}	\int\:2e^{-x}dx
limit as h approaches 0 of 1/(h+1)	\lim\:_{h\to\:0}(\frac{1}{h+1})
tangent of x^2+2xy-y^2+x=6,(2,4)	tangent\:x^{2}+2xy-y^{2}+x=6,(2,4)
integral of x^{-3}(x+1)	\int\:x^{-3}(x+1)dx
integral from 0 to 1 of 8^{2x}	\int\:_{0}^{1}8^{2x}dx
(\partial)/(\partial y)(x*sin(x+y))	\frac{\partial\:}{\partial\:y}(x\cdot\:\sin(x+y))
(x^2+6)y^'=xy	(x^{2}+6)y^{\prime\:}=xy
-4y^{''}+16y=0	-4y^{\prime\:\prime\:}+16y=0
derivative of ln(x*y)	\frac{d}{dx}(\ln(x\cdot\:y))
integral of x^4e^{x^5}	\int\:x^{4}e^{x^{5}}dx
derivative of 5xsin(x^2)	derivative\:5x\sin(x^{2})
integral of (e^{sqrt(x)})/(sqrt(x))	\int\:\frac{e^{\sqrt{x}}}{\sqrt{x}}dx
integral from 0 to 3 of 3^x	\int\:_{0}^{3}3^{x}dx
tangent of 3/(x+1)	tangent\:\frac{3}{x+1}
integral of (5^x+2^5)	\int\:(5^{x}+2^{5})dx
derivative of f(x)=8xe^x-8e^x	derivative\:f(x)=8xe^{x}-8e^{x}
slope of y=sqrt(3x+1),(8,5)	slope\:y=\sqrt{3x+1},(8,5)
derivative of (x^4/(e^x))	\frac{d}{dx}(\frac{x^{4}}{e^{x}})
derivative of x4^x	\frac{d}{dx}(x4^{x})

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