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Popular Calculus Problems

tangent of x^2+9x	tangent\:x^{2}+9x
integral of (x-x^3)^2	\int\:(x-x^{3})^{2}dx
derivative of y=(6x^2-12x+12)e^{-8x}	derivative\:y=(6x^{2}-12x+12)e^{-8x}
(d^2)/(dx^2)(sqrt(x^2+1))	\frac{d^{2}}{dx^{2}}(\sqrt{x^{2}+1})
derivative of 2x^2+3x-4	derivative\:2x^{2}+3x-4
derivative of ln(pix)	\frac{d}{dx}(\ln(πx))
integral of 5/((x+1)^2)	\int\:\frac{5}{(x+1)^{2}}dx
f(t)=tsqrt(4-t^2)	f(t)=t\sqrt{4-t^{2}}
(y^2+2xy)dx-x^2dy=0	(y^{2}+2xy)dx-x^{2}dy=0
(dy)/(dx)=(3x^2+4x+2)/(2(y-1)),y(0)=-1	\frac{dy}{dx}=\frac{3x^{2}+4x+2}{2(y-1)},y(0)=-1
y^'=sin^2(x-y+1)	y^{\prime\:}=\sin^{2}(x-y+1)
(dy)/(dx)+2y=x	\frac{dy}{dx}+2y=x
integral of 1/(sqrt(144-x^2))	\int\:\frac{1}{\sqrt{144-x^{2}}}dx
integral of arccot(8y)	\int\:\arccot(8y)dy
integral of sqrt((1-x)/(1+x))	\int\:\sqrt{\frac{1-x}{1+x}}dx
integral of sqrt(58)	\int\:\sqrt{58}
integral from 1 to 5 of sqrt(1+(3)^2)	\int\:_{1}^{5}\sqrt{1+(3)^{2}}dx
integral from 0 to t of e^{-2t}sin(5t)	\int\:_{0}^{t}e^{-2t}\sin(5t)dt
derivative of 9cos^3(x)	\frac{d}{dx}(9\cos^{3}(x))
integral from 0 to 1/6 of xln(6x)	\int\:_{0}^{\frac{1}{6}}x\ln(6x)dx
area y=x+1,(-1,4)	area\:y=x+1,(-1,4)
limit as x approaches infinity of i^x	\lim\:_{x\to\:\infty\:}(i^{x})
derivative of f(x)=(x^3+5)(x^3+x+1)	derivative\:f(x)=(x^{3}+5)(x^{3}+x+1)
integral of 3/(xln(2x))	\int\:\frac{3}{x\ln(2x)}dx
integral of 1^2	\int\:1dx^{2}
derivative of y=2x+6	derivative\:y=2x+6
integral of (20x^3-40x^2+7)/(x^2-2x)	\int\:\frac{20x^{3}-40x^{2}+7}{x^{2}-2x}dx
derivative of f(x)=3e^{-x^2}	derivative\:f(x)=3e^{-x^{2}}
integral of cos(ln(5x))	\int\:\cos(\ln(5x))dx
y^'=(11x)/y	y^{\prime\:}=\frac{11x}{y}
derivative of y=cos(a^6+x^6)	derivative\:y=\cos(a^{6}+x^{6})
integral of 4/15 x^{5/2}+9cos(x)+Cx+C	\int\:\frac{4}{15}x^{\frac{5}{2}}+9\cos(x)+Cx+Cdx
integral of 1/(x^2)+1/x	\int\:\frac{1}{x^{2}}+\frac{1}{x}dx
limit as x approaches pi/2 of 9tan(x)	\lim\:_{x\to\:\frac{π}{2}}(9\tan(x))
derivative of ln(ln(6x))	\frac{d}{dx}(\ln(\ln(6x)))
integral of e^{t(1-s)}	\int\:e^{t(1-s)}dt
integral from 0 to pi/2 of-6cos^5(x)	\int\:_{0}^{\frac{π}{2}}-6\cos^{5}(x)dx
derivative of x^2ln(1/x)	\frac{d}{dx}(x^{2}\ln(\frac{1}{x}))
(\partial)/(\partial x)(9cos(xy)x)	\frac{\partial\:}{\partial\:x}(9\cos(xy)x)
x^{''}+k^2x=0	x^{\prime\:\prime\:}+k^{2}x=0
derivative of sin^2(x^2-1)	derivative\:\sin^{2}(x^{2}-1)
integral of (e^{1/x})	\int\:(e^{\frac{1}{x}})dx
integral of 1/(xsqrt(x^4-64))	\int\:\frac{1}{x\sqrt{x^{4}-64}}dx
derivative of e^{2*(x-1})	\frac{d}{dx}(e^{2\cdot\:(x-1)})
integral of (-10x^2)/((x^3+2)^{-3)}	\int\:\frac{-10x^{2}}{(x^{3}+2)^{-3}}dx
derivative of (250/((1+5x)^3))	\frac{d}{dx}(\frac{250}{(1+5x)^{3}})
y^'=6x^2-x^2y	y^{\prime\:}=6x^{2}-x^{2}y
integral of e^{3t}*t	\int\:e^{3t}\cdot\:tdt
derivative of 1/((1+2x))	\frac{d}{dx}(\frac{1}{(1+2x)})
derivative of (-16x^2+36^2)	\frac{d}{dx}((-16x^{2}+36)^{2})
derivative of x/(1-ln(x-3))	\frac{d}{dx}(\frac{x}{1-\ln(x-3)})
limit as x approaches 0 of (4^x-2^x)/x	\lim\:_{x\to\:0}(\frac{4^{x}-2^{x}}{x})
derivative of a-bx^2	\frac{d}{dx}(a-bx^{2})
integral from 1 to 2 of (2x-3)^2	\int\:_{1}^{2}(2x-3)^{2}dx
y^'+7y=t+e^{-4t}	y^{\prime\:}+7y=t+e^{-4t}
derivative of 4(3-9x^3)	\frac{d}{dx}(4(3-9x)^{3})
inverse oflaplace 2/(3s^2+6s+2)	inverselaplace\:\frac{2}{3s^{2}+6s+2}
integral of 1+2sin((x^2)/2)	\int\:1+2\sin(\frac{x^{2}}{2})dx
y^'=-5y+5t^2+2t	y^{\prime\:}=-5y+5t^{2}+2t
integral from 0 to 1 of (x-x^3)	\int\:_{0}^{1}(x-x^{3})dx
limit as x approaches 5+of 1/(x^2-25)	\lim\:_{x\to\:5+}(\frac{1}{x^{2}-25})
derivative of f(x)=arccos(-3x)	derivative\:f(x)=\arccos(-3x)
derivative of {f}(x(x^2)+({f}(x))^2)	\frac{d}{dx}({f}(x)(x^{2})+({f}(x))^{2})
(\partial)/(\partial x)(1/(sqrt(x^2-y^2)))	\frac{\partial\:}{\partial\:x}(\frac{1}{\sqrt{x^{2}-y^{2}}})
integral of 9y^2	\int\:9y^{2}dy
integral from 0 to 5 of 1/(sqrt(25+t^2))	\int\:_{0}^{5}\frac{1}{\sqrt{25+t^{2}}}dt
tangent of y=sin(x)cos(x)	tangent\:y=\sin(x)\cos(x)
integral of 1/x+x	\int\:\frac{1}{x}+xdx
y^'-6y=0	y^{\prime\:}-6y=0
(\partial)/(\partial x)(x^{0.2}*y^{0.8})	\frac{\partial\:}{\partial\:x}(x^{0.2}\cdot\:y^{0.8})
integral of 4cos(x-1)	\int\:4\cos(x-1)dx
integral of 1/(sqrt(x^2+2x+17))	\int\:\frac{1}{\sqrt{x^{2}+2x+17}}dx
integral of csc(1)	\int\:\csc(1)dx
derivative of-1/((x-2)^2)	derivative\:-\frac{1}{(x-2)^{2}}
y^'+5y=3sin(e^{5x})	y^{\prime\:}+5y=3\sin(e^{5x})
(\partial)/(\partial z)(xz^2)	\frac{\partial\:}{\partial\:z}(xz^{2})
integral of (1/x-4/(x^2+1))	\int\:(\frac{1}{x}-\frac{4}{x^{2}+1})dx
limit as x approaches 1 of-2	\lim\:_{x\to\:1}(-2)
derivative of 4x-7	derivative\:4x-7
integral of (5x^2)/(x^2+8)	\int\:\frac{5x^{2}}{x^{2}+8}dx
tangent of y=3+sqrt(7-x),(3,5)	tangent\:y=3+\sqrt{7-x},(3,5)
tangent of y=2x^2-3x+1,(3,10)	tangent\:y=2x^{2}-3x+1,(3,10)
derivative of x+8/x	\frac{d}{dx}(x+\frac{8}{x})
derivative of x^{0.4}	\frac{d}{dx}(x^{0.4})
laplacetransform e^{2t}cos(5)(t)	laplacetransform\:e^{2t}\cos(5)(t)
area e^{2x},e^{6x},x=1	area\:e^{2x},e^{6x},x=1
derivative of-2x-4	\frac{d}{dx}(-2x-4)
limit as x approaches 1 of (cos(pix))/3	\lim\:_{x\to\:1}(\frac{\cos(πx)}{3})
f^'(x)=e^{3x+2}-3x^2	f^{\prime\:}(x)=e^{3x+2}-3x^{2}
integral of xsqrt(y^2-x^2)	\int\:x\sqrt{y^{2}-x^{2}}dx
area 7x,8x^2	area\:7x,8x^{2}
(\partial)/(\partial y)(4e^xcos(yz))	\frac{\partial\:}{\partial\:y}(4e^{x}\cos(yz))
limit as x approaches infinity of (((-4)^{x+1}))/((x+1)*4^{x+1)}	\lim\:_{x\to\:\infty\:}(\frac{((-4)^{x+1})}{(x+1)\cdot\:4^{x+1}})
derivative of 4sec(x/2)	\frac{d}{dx}(4\sec(\frac{x}{2}))
integral of sec^2(x)-8cot(x)	\int\:\sec^{2}(x)-8\cot(x)dx
y^{''}+36y=24sin(6t)	y^{\prime\:\prime\:}+36y=24\sin(6t)
tangent of y= 1/(7t^3)	tangent\:y=\frac{1}{7t^{3}}
limit as x approaches 1+of (1-x)^{ln(x)}	\lim\:_{x\to\:1+}((1-x)^{\ln(x)})
integral from 2 to 3 of (38)/(sqrt(3-x))	\int\:_{2}^{3}\frac{38}{\sqrt{3-x}}dx
3(dy)/(dx)=y^2	3\frac{dy}{dx}=y^{2}

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