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Popular Calculus Problems

inverse oflaplace (s-5)/((s^2-6s+25))	inverselaplace\:\frac{s-5}{(s^{2}-6s+25)}
tangent of x^4-4x^3-2,\at x=1	tangent\:x^{4}-4x^{3}-2,\at\:x=1
derivative of f(x)=2xe^{4x}	derivative\:f(x)=2xe^{4x}
sum from n=0 to infinity of (n(n+1))/2	\sum\:_{n=0}^{\infty\:}\frac{n(n+1)}{2}
limit as x approaches-1-of (x-1)/(x+1)	\lim\:_{x\to\:-1-}(\frac{x-1}{x+1})
(2xy+3y^2)dx-(x^2+2xy)dy=0	(2xy+3y^{2})dx-(x^{2}+2xy)dy=0
derivative of 10e^{10x}	derivative\:10e^{10x}
(\partial)/(\partial m)((G(m,r)m)/(r^2))	\frac{\partial\:}{\partial\:m}(\frac{G(m,r)m}{r^{2}})
limit as x approaches 0-of x*e^{1/x}	\lim\:_{x\to\:0-}(x\cdot\:e^{\frac{1}{x}})
derivative of (1-6t)/(4+t)	derivative\:\frac{1-6t}{4+t}
derivative of 4cot(x/8)	\frac{d}{dx}(4\cot(\frac{x}{8}))
inverse oflaplace 0.5	inverselaplace\:0.5
integral of (x^6+1/(sqrt(1-4x^2)))	\int\:(x^{6}+\frac{1}{\sqrt{1-4x^{2}}})dx
integral from 8 to infinity of 1/(x^2+x)	\int\:_{8}^{\infty\:}\frac{1}{x^{2}+x}dx
y^'=(y+4x)^2	y^{\prime\:}=(y+4x)^{2}
limit as x approaches 1+of (x^2)/(x^2-1)	\lim\:_{x\to\:1+}(\frac{x^{2}}{x^{2}-1})
(dy)/(dx)=3e^{2x}y^2	\frac{dy}{dx}=3e^{2x}y^{2}
integral of x^35^{-x}	\int\:x^{3}5^{-x}dx
integral from 0 to 1 of e^{(2x)/3}	\int\:_{0}^{1}e^{\frac{2x}{3}}dx
(dy)/(dx)=((x+sin(x)))/(3y^2)	\frac{dy}{dx}=\frac{(x+\sin(x))}{3y^{2}}
derivative of x^3-2x^2+4x+3	derivative\:x^{3}-2x^{2}+4x+3
(\partial)/(\partial x)(ln(x^2+y^4+2))	\frac{\partial\:}{\partial\:x}(\ln(x^{2}+y^{4}+2))
sum from n=1 to infinity of n/(n^2+2)	\sum\:_{n=1}^{\infty\:}\frac{n}{n^{2}+2}
derivative of-8sin((3x/2+1))	\frac{d}{dx}(-8\sin(\frac{3x}{2}+1))
limit as x approaches 4-of 2x-1	\lim\:_{x\to\:4-}(2x-1)
tangent of f(x)=((x-4))/(sqrt(x)-2)	tangent\:f(x)=\frac{(x-4)}{\sqrt{x}-2}
integral from 3 to 5 of 1	\int\:_{3}^{5}1
integral from 0 to 1.5 of 1250x	\int\:_{0}^{1.5}1250xdx
integral of 9x^2+1	\int\:9x^{2}+1dx
xy^'+(3x+1)y=e^{(-3x)}	xy^{\prime\:}+(3x+1)y=e^{(-3x)}
derivative of-(11)/(s^5)	derivative\:-\frac{11}{s^{5}}
derivative of f(x)=4x^3	derivative\:f(x)=4x^{3}
integral of x*e^{-x/2}	\int\:x\cdot\:e^{-\frac{x}{2}}dx
inverse oflaplace ((s+3))/((s+1)^2)	inverselaplace\:\frac{(s+3)}{(s+1)^{2}}
inverse oflaplace-1{(-3)/(-s+2)}	inverselaplace\:-1\left\{\frac{-3}{-s+2}\right\}
integral of z/(2z^2+8)	\int\:\frac{z}{2z^{2}+8}dz
slope ofintercept (-2,3),(-1,-2)	slopeintercept\:(-2,3),(-1,-2)
derivative of ((ax+b/(c^2+a))^{10})	\frac{d}{dx}((\frac{ax+b}{c^{2}+a})^{10})
integral of 5e^2	\int\:5e^{2}dx
limit as x approaches 0+of 1/x-1/(x^2)	\lim\:_{x\to\:0+}(\frac{1}{x}-\frac{1}{x^{2}})
derivative of f(x)=7w^3+6w^2+8w	derivative\:f(x)=7w^{3}+6w^{2}+8w
limit as x approaches 0 of (x-3)/(x-1)	\lim\:_{x\to\:0}(\frac{x-3}{x-1})
integral of 3/(x^2+16)	\int\:\frac{3}{x^{2}+16}dx
limit as x approaches 1 of (x-1)/(x-2)	\lim\:_{x\to\:1}(\frac{x-1}{x-2})
integral of t/(sqrt(t^4-4))	\int\:\frac{t}{\sqrt{t^{4}-4}}dt
integral of [\sqrt[3]{e^x}]^4	\int\:[\sqrt[3]{e^{x}}]^{4}dx
(\partial)/(\partial x)(x^2e^{sqrt(5xy)})	\frac{\partial\:}{\partial\:x}(x^{2}e^{\sqrt{5xy}})
limit as x approaches 0-of csc(x)-cot(x)	\lim\:_{x\to\:0-}(\csc(x)-\cot(x))
integral of 6/(z^4)	\int\:\frac{6}{z^{4}}dz
limit as x approaches 4 of (sqrt(x))/x	\lim\:_{x\to\:4}(\frac{\sqrt{x}}{x})
tangent of f(x)=4x^2-2x,\at x=-1	tangent\:f(x)=4x^{2}-2x,\at\:x=-1
tangent of 3x^2	tangent\:3x^{2}
integral of (8x^2+3x^4+5/(2x^8)+e^x)	\int\:(8x^{2}+3x^{4}+\frac{5}{2x^{8}}+e^{x})dx
xy^'-y=2020x^2,y(1)=1	xy^{\prime\:}-y=2020x^{2},y(1)=1
integral of 12sin^3(xco)s^2x	\int\:12\sin^{3}(xco)s^{2}xdx
y^'-1/x y=9,y(1)= 1/7	y^{\prime\:}-\frac{1}{x}y=9,y(1)=\frac{1}{7}
integral of 1/((1+x/2)^2)	\int\:\frac{1}{(1+\frac{x}{2})^{2}}dx
derivative of x^3-5x	\frac{d}{dx}(x^{3}-5x)
derivative of (1-x(x^2-2)^2)	\frac{d}{dx}((1-x)(x^{2}-2)^{2})
limit as x approaches-1+of 5/(x+1)	\lim\:_{x\to\:-1+}(\frac{5}{x+1})
derivative of f(x)=x^5e^x	derivative\:f(x)=x^{5}e^{x}
(\partial)/(\partial x)(21x^3cos(7x^2y))	\frac{\partial\:}{\partial\:x}(21x^{3}\cos(7x^{2}y))
integral of 1/(sqrt(x^2-16))	\int\:\frac{1}{\sqrt{x^{2}-16}}dx
limit as x approaches+2-of sqrt(6-3x)-3	\lim\:_{x\to\:+2-}(\sqrt{6-3x}-3)
derivative of x^{1-x}	\frac{d}{dx}(x^{1-x})
derivative of sqrt(11x)	derivative\:\sqrt{11x}
derivative of sqrt(4x-12)	\frac{d}{dx}(\sqrt{4x-12})
derivative of ln(ln(x+1))	\frac{d}{dx}(\ln(\ln(x+1)))
limit as x approaches 1-of 3/x-2/(ln(x))	\lim\:_{x\to\:1-}(\frac{3}{x}-\frac{2}{\ln(x)})
d/(dt)(A(e^{-t}-e^{-t}t))	\frac{d}{dt}(A(e^{-t}-e^{-t}t))
derivative of ln(3^{sqrt(2-x^2)})	\frac{d}{dx}(\ln(3^{\sqrt{2-x^{2}}}))
integral from-1 to 0 of 1/(sqrt(1+x))	\int\:_{-1}^{0}\frac{1}{\sqrt{1+x}}dx
(\partial)/(\partial x)(x^9)	\frac{\partial\:}{\partial\:x}(x^{9})
tangent of y=4x^3,(-1,-4)	tangent\:y=4x^{3},(-1,-4)
limit as x approaches 1/2 of (x+1)/(x+5)	\lim\:_{x\to\:\frac{1}{2}}(\frac{x+1}{x+5})
(dy}{dx}=-\frac{3y)/x-2-x^{-4}	\frac{dy}{dx}=-\frac{3y}{x}-2-x^{-4}
taylor 1/(1-x),3	taylor\:\frac{1}{1-x},3
derivative of 5/(1-x)	\frac{d}{dx}(\frac{5}{1-x})
integral of 1/(sec^2(y))	\int\:\frac{1}{\sec^{2}(y)}dy
derivative of sqrt((4-x^{2/3)^3})	\frac{d}{dx}(\sqrt{(4-x^{\frac{2}{3}})^{3}})
limit as x approaches-8 of 1+sqrt(-2x)	\lim\:_{x\to\:-8}(1+\sqrt{-2x})
(\partial)/(\partial x)(x-2)	\frac{\partial\:}{\partial\:x}(x-2)
integral of ysin(x+y^2)	\int\:y\sin(x+y^{2})dy
y^'=3sqrt(yt)	y^{\prime\:}=3\sqrt{yt}
limit as x approaches 0+of (sin(2x))/x	\lim\:_{x\to\:0+}(\frac{\sin(2x)}{x})
integral of y^2(y+2/3)	\int\:y^{2}(y+\frac{2}{3})dy
derivative of f(x)=-4cos(2x)	derivative\:f(x)=-4\cos(2x)
integral of-1/(e^x)	\int\:-\frac{1}{e^{x}}dx
limit as x approaches-2 of \|1-x^2\|	\lim\:_{x\to\:-2}(\left\|1-x^{2}\right\|)
integral of (x+2)/(x^2+16)	\int\:\frac{x+2}{x^{2}+16}dx
derivative of sqrt(1/(x^{25)})	\frac{d}{dx}(\sqrt{\frac{1}{x^{25}}})
slope ofintercept (3,-5),(-1,3)	slopeintercept\:(3,-5),(-1,3)
derivative of sin^7(cos(5x))	derivative\:\sin^{7}(\cos(5x))
tangent of f(x)=3x^2+2x,\at x=-3	tangent\:f(x)=3x^{2}+2x,\at\:x=-3
(\partial)/(\partial y)((e^x-x)cos(y))	\frac{\partial\:}{\partial\:y}((e^{x}-x)\cos(y))
integral of (sin(x)-5cos(x))	\int\:(\sin(x)-5\cos(x))dx
limit as x approaches 1 of x/(x^2+1)	\lim\:_{x\to\:1}(\frac{x}{x^{2}+1})
(\partial)/(\partial x)(e^{-2x^2-5y^2})	\frac{\partial\:}{\partial\:x}(e^{-2x^{2}-5y^{2}})
integral of xye^x	\int\:xye^{x}dx
integral of (ln(x+sqrt(1+x^2)))'	\int\:(\ln(x+\sqrt{1+x^{2}}))\prime\:dx

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