What is area 7cos(pix),8x^2-2,[-0.5,0.5] ?

The answer to area 7cos(pix),8x^2-2,[-0.5,0.5] is 5.78967…

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area 7cos(pix),8x^2-2,[-0.5,0.5]

area

7 cos (π x), 8 x^{2} - 2, [- 0.5, 0.5]

5.78967 \dots

Solution steps

Apply the area formula:

\int_{- 0.5}^{0.5} 7 cos (π x) - (8 x^{2} - 2) d x

Solve

\int_{- 0.5}^{0.5} 7 cos (π x) - (8 x^{2} - 2) d x : 5.78967 \dots

The area is:

= 5.78967 \dots

x \to - 1 lim (\frac{3 x ^{2} - 9 x - 12}{3 x + 3})

\int \frac{6 + x}{36 - x ^{2}} d x

\frac{d y}{d x}, 7 x y + 1 = 0

\frac{d}{d x} (9^{x} ln (x))

5 t^{2} - 6 cos (3 t) + 8 e^{- t}

What is area 7cos(pix),8x^2-2,[-0.5,0.5] ?
The answer to area 7cos(pix),8x^2-2,[-0.5,0.5] is 5.78967…