What is area 3e^x,3xe^{x^2},[0,1] ?

The answer to area 3e^x,3xe^{x^2},[0,1] is 3(e-1)-(3(e-1))/2

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area 3e^x,3xe^{x^2},[0,1]

area

3 e^{x}, 3 x e^{x^{2}}, [0, 1]

3 (e - 1) - \frac{3 ( e - 1 )}{2}

Decimal Notation

2.57742 \dots

Solution steps

Apply the area formula:

\int_{0}^{1} 3 e^{x} - 3 x e^{x^{2}} d x

Solve

\int_{0}^{1} 3 e^{x} - 3 x e^{x^{2}} d x : 3 (e - 1) - \frac{3 ( e - 1 )}{2}

The area is:

= 3 (e - 1) - \frac{3 ( e - 1 )}{2}

x \to 6 lim (2 x - 7)

\int \frac{( x + 6 )}{( x + 1 )} d x

\int_{2}^{3} \frac{ln ( 2 x ^{5} )}{x ^{2}} d x

\frac{\partial}{\partial x} (x^{a} y^{1 - a})

\frac{\partial}{\partial x} (sin (x + 2 y))

What is area 3e^x,3xe^{x^2},[0,1] ?
The answer to area 3e^x,3xe^{x^2},[0,1] is 3(e-1)-(3(e-1))/2