What is the integral from-2 to cos(x) of 3t ?

The integral from-2 to cos(x) of 3t is 3((cos^2(x))/2-2)

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integral from-2 to cos(x) of 3t

\int_{- 2}^{c o s (x)} 3 t d t

3 (\frac{cos ^{2} ( x )}{2} - 2)

Solution steps

\int_{- 2}^{c o s (x)} 3 t d t

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 3 \cdot \int_{- 2}^{c o s (x)} t d t

Apply the Power Rule

: [\frac{t ^{2}}{2}]_{- 2}^{c o s (x)}

= 3 [\frac{t ^{2}}{2}]_{- 2}^{c o s (x)}

Compute the boundaries:

\frac{cos ^{2} ( x )}{2} - 2

= 3 (\frac{cos ^{2} ( x )}{2} - 2)

\int x (2 x + 3) d x

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x \to - 1 - lim (\frac{x + 1}{∣ x + 1 ∣})

\frac{d y}{d x}, x y = 45

\int_{0}^{4} 4 - x d x

What is the integral from-2 to cos(x) of 3t ?
The integral from-2 to cos(x) of 3t is 3((cos^2(x))/2-2)