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Popular Calculus Problems

integral of yz	\int\:yzdx
parity cos(e^{sqrt(tan(2x))})	parity\:\cos(e^{\sqrt{\tan(2x)}})
integral of 1/(x*ln(x^3))	\int\:\frac{1}{x\cdot\:\ln(x^{3})}dx
integral from 0 to 3 of pi(1/(x+6))^2	\int\:_{0}^{3}π(\frac{1}{x+6})^{2}dx
integral of ln(4x+1)	\int\:\ln(4x+1)dx
tangent of 3x^2+12x-36	tangent\:3x^{2}+12x-36
derivative of (3x^4/((2-x^5)^3))	\frac{d}{dx}(\frac{3x^{4}}{(2-x^{5})^{3}})
derivative of sqrt(5x^2)	\frac{d}{dx}(\sqrt{5x^{2}})
sum from n=0 to infinity of tan(1/n)	\sum\:_{n=0}^{\infty\:}\tan(\frac{1}{n})
integral of 1/((e^x+e^{-x))}	\int\:\frac{1}{(e^{x}+e^{-x})}dx
limit as x approaches 10 of 3	\lim\:_{x\to\:10}(3)
limit as x approaches 5 of x^2-5x	\lim\:_{x\to\:5}(x^{2}-5x)
limit as x approaches pi/2 of (tan(x))^{x/2-x}	\lim\:_{x\to\:\frac{π}{2}}((\tan(x))^{\frac{x}{2}-x})
derivative of (3x^2)(x^{1/2})	derivative\:(3x^{2})(x^{\frac{1}{2}})
(\partial}{\partial x}(\frac{2x-y)/2)	\frac{\partial\:}{\partial\:x}(\frac{2x-y}{2})
x^{''}+(x^')^2=0	x^{\prime\:\prime\:}+(x^{\prime\:})^{2}=0
integral of-ksin(nx)	\int\:-k\sin(nx)dx
integral from 2 to 5 of 1/(3x+1)	\int\:_{2}^{5}\frac{1}{3x+1}dx
(\partial)/(\partial x)(6y^5sin(2x))	\frac{\partial\:}{\partial\:x}(6y^{5}\sin(2x))
derivative of (x^3/(x^2-1))	\frac{d}{dx}(\frac{x^{3}}{x^{2}-1})
integral of arctan(2t)	\int\:\arctan(2t)dt
limit as x approaches+4 of 3	\lim\:_{x\to\:+4}(3)
y^{''}-3y^'+4y=0	y^{\prime\:\prime\:}-3y^{\prime\:}+4y=0
derivative of ((4x-2^4)/(3x^2+7))	\frac{d}{dx}(\frac{(4x-2)^{4}}{3x^{2}+7})
derivative of sqrt(x^2+2x-1)	\frac{d}{dx}(\sqrt{x^{2}+2x-1})
xy^'=y+(xy)^{1/2}	xy^{\prime\:}=y+(xy)^{\frac{1}{2}}
(dy)/(dx)+y=10	\frac{dy}{dx}+y=10
integral from 1 to 4 of (x)	\int\:_{1}^{4}(x)dx
(d^3)/(dx^3)(e^xcos(x))	\frac{d^{3}}{dx^{3}}(e^{x}\cos(x))
integral of 9(ln(x))^2	\int\:9(\ln(x))^{2}dx
integral of (1+cos(x))^2	\int\:(1+\cos(x))^{2}dx
(\partial)/(\partial x)(cos(2x)sin(3y))	\frac{\partial\:}{\partial\:x}(\cos(2x)\sin(3y))
tangent of f(x)=2x^3+3x^2-12x+1	tangent\:f(x)=2x^{3}+3x^{2}-12x+1
(d^2y)/(dx^2)=4xcos(x^2)	\frac{d^{2}y}{dx^{2}}=4x\cos(x^{2})
3y^'+y=(1-2x)y^4	3y^{\prime\:}+y=(1-2x)y^{4}
y=(-1)/(3x^2)	y=\frac{-1}{3x^{2}}
derivative of 3sqrt(x)-4x^3+2^x-e+7	\frac{d}{dx}(3\sqrt{x}-4x^{3}+2^{x}-e+7)
tangent of y=sqrt(1+x^3),(2,3)	tangent\:y=\sqrt{1+x^{3}},(2,3)
integral of 1/((x-2)ln(x-2))	\int\:\frac{1}{(x-2)\ln(x-2)}dx
integral of (16x^3-3x^2+2)	\int\:(16x^{3}-3x^{2}+2)dx
limit as x approaches 2 of (\sqrt[3]{x^2+4}-\sqrt[4]{x^2+6x})/(x^2-4)	\lim\:_{x\to\:2}(\frac{\sqrt[3]{x^{2}+4}-\sqrt[4]{x^{2}+6x}}{x^{2}-4})
integral of (cos(x))/(sqrt(3+sin(x)))	\int\:\frac{\cos(x)}{\sqrt{3+\sin(x)}}dx
integral of (x^3+4x-2)/((x-2)(x+1))	\int\:\frac{x^{3}+4x-2}{(x-2)(x+1)}dx
tangent of f(x)=(x^3)/4 ,\at x=-6	tangent\:f(x)=\frac{x^{3}}{4},\at\:x=-6
integral of tan^4(x)sec^6(x)	\int\:\tan^{4}(x)\sec^{6}(x)dx
(\partial)/(\partial u)(u+uv)	\frac{\partial\:}{\partial\:u}(u+uv)
(1+x^2)dy=(y-arccot(x))dx	(1+x^{2})dy=(y-\arccot(x))dx
limit as x approaches 1/2 of xsec(pi)x	\lim\:_{x\to\:\frac{1}{2}}(x\sec(π)x)
integral of 6x^7	\int\:6x^{7}dx
area 5/x ,5x,0,5	area\:\frac{5}{x},5x,0,5
(d^2)/(dx^2)(4sin(3x))	\frac{d^{2}}{dx^{2}}(4\sin(3x))
integral of 4sqrt(t)	\int\:4\sqrt{t}dt
inverse oflaplace (12s+5)/(s(s+3))	inverselaplace\:\frac{12s+5}{s(s+3)}
(\partial)/(\partial x)(x(1-x))	\frac{\partial\:}{\partial\:x}(x(1-x))
limit as x approaches pi of tan(x/3)	\lim\:_{x\to\:π}(\tan(\frac{x}{3}))
integral from 0 to 2 of x/(1+x^2)	\int\:_{0}^{2}\frac{x}{1+x^{2}}dx
limit as x approaches 9 of (x-3)/(x-9)	\lim\:_{x\to\:9}(\frac{x-3}{x-9})
area 25x^2,9	area\:25x^{2},9
slope ofintercept (6.2)(9.3)	slopeintercept\:(6.2)(9.3)
sum from n=1 to infinity of (cos(2.8))^n	\sum\:_{n=1}^{\infty\:}(\cos(2.8))^{n}
integral from-3 to 3 of sqrt(1+x^2)	\int\:_{-3}^{3}\sqrt{1+x^{2}}dx
implicit (dy)/(dx),y-9x^3+8=0,(2,8)	implicit\:\frac{dy}{dx},y-9x^{3}+8=0,(2,8)
derivative of 4^{x^2}	derivative\:4^{x^{2}}
integral of (csc(2x))	\int\:(\csc(2x))dx
y^'-2ty=12t^2e^{t^2},y(0)=5	y^{\prime\:}-2ty=12t^{2}e^{t^{2}},y(0)=5
limit as x approaches 4 of (x^2-4)/(x-2)	\lim\:_{x\to\:4}(\frac{x^{2}-4}{x-2})
derivative of (3x+2/(3x-2))	\frac{d}{dx}(\frac{3x+2}{3x-2})
tangent of y=x^4+2x^2-x(1.2)	tangent\:y=x^{4}+2x^{2}-x(1.2)
tangent of (x^3-25x)^{12}	tangent\:(x^{3}-25x)^{12}
(\partial)/(\partial x)(ln(2x+4y+9z))	\frac{\partial\:}{\partial\:x}(\ln(2x+4y+9z))
derivative of f(x)=((8x))/((sin(x)+cos(x)))	derivative\:f(x)=\frac{(8x)}{(\sin(x)+\cos(x))}
derivative of (4x^{2x})	\frac{d}{dx}((4x)^{2x})
tangent of y=(6x^2-6x+3)(1+2x),\at x=1	tangent\:y=(6x^{2}-6x+3)(1+2x),\at\:x=1
integral of e^yy-e^y	\int\:e^{y}y-e^{y}dy
integral of 1/(e^xe^{\frac{1){x^2}}}	\int\:\frac{1}{e^{x}e^{\frac{1}{x^{2}}}}dx
integral of (x^2-x+1)/x	\int\:\frac{x^{2}-x+1}{x}dx
(x-9)y^'+y=x^2-10	(x-9)y^{\prime\:}+y=x^{2}-10
integral of 1/(x^2+xsqrt(x))	\int\:\frac{1}{x^{2}+x\sqrt{x}}dx
limit as x approaches 7 of 2	\lim\:_{x\to\:7}(2)
tangent of f(x)= 5/x ,\at x=3	tangent\:f(x)=\frac{5}{x},\at\:x=3
integral of 36x(9x^2-7)^3	\int\:36x(9x^{2}-7)^{3}dx
integral of 5tan(5x)	\int\:5\tan(5x)dx
limit as x approaches 4-of x+1	\lim\:_{x\to\:4-}(x+1)
(\partial)/(\partial x)(x^2+y^2-2x)	\frac{\partial\:}{\partial\:x}(x^{2}+y^{2}-2x)
derivative of-4sin^2(x)	\frac{d}{dx}(-4\sin^{2}(x))
integral of 16cos^2(x)	\int\:16\cos^{2}(x)dx
y^{''}-4y=((e^{2x}))/((x))	y^{\prime\:\prime\:}-4y=\frac{(e^{2x})}{(x)}
limit as x approaches-3 of-x^2-x+4	\lim\:_{x\to\:-3}(-x^{2}-x+4)
limit as x approaches 0 of \sqrt[x]{2}	\lim\:_{x\to\:0}(\sqrt[x]{2})
derivative of (2x-1)ln(2x-1)	derivative\:(2x-1)\ln(2x-1)
implicit (dy)/(dx),y^5=x^8	implicit\:\frac{dy}{dx},y^{5}=x^{8}
integral of x(5^{-x^2})	\int\:x(5^{-x^{2}})dx
integral of 1-sqrt(x)	\int\:1-\sqrt{x}dx
integral of (3x^4-4x^3+6x^2-x/2+3)	\int\:(3x^{4}-4x^{3}+6x^{2}-\frac{x}{2}+3)dx
integral of 8tan(x)sin(y)cos(y)	\int\:8\tan(x)\sin(y)\cos(y)dx
derivative of (2x^2-7^5-(1+4x^3)^5)	\frac{d}{dx}((2x^{2}-7)^{5}-(1+4x^{3})^{5})
derivative of (3x)/(e^x)	derivative\:\frac{3x}{e^{x}}
(x*e^x)^'	(x\cdot\:e^{x})^{\prime\:}
derivative of-xcos(3x)	\frac{d}{dx}(-x\cos(3x))
derivative of arcsin(3x+1)	\frac{d}{dx}(\arcsin(3x+1))

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