What is area y= 1/2 x^2+1,(0,1) ?

The answer to area y= 1/2 x^2+1,(0,1) is 7/6

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area y= 1/2 x^2+1,(0,1)

area

y = \frac{1}{2} x^{2} + 1, (0, 1)

\frac{7}{6}

Decimal Notation

1.16666 \dots

Solution steps

Apply the area formula:

\int_{0}^{1} \frac{1}{2} x^{2} + 1 d x

Solve

\int_{0}^{1} \frac{1}{2} x^{2} + 1 d x : \frac{7}{6}

The area is:

= \frac{7}{6}

\int 2 x - 6 d x

\int_{0}^{5} e^{2 x} d x

\int \frac{6}{15 sin ( x ) - 8 cos ( x )} d x

\frac{d y}{d x} = 15 - \frac{3 y}{350}

\frac{d}{d x} (\frac{a x + b}{c x + k})