What is the integral of-picos(pi)x ?

The integral of-picos(pi)x is (pix^2)/2+C

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integral of-picos(pi)x

\int - π cos (π) x d x

\frac{π x ^{2}}{2} + C

Solution steps

\int - π cos (π) x d x

Take the constant out:

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

= - π cos (π) \cdot \int x d x

- π cos (π) = π

= π \cdot \int x d x

Apply the Power Rule

: \frac{x ^{2}}{2}

= π \frac{x ^{2}}{2}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{π x ^{2}}{2}

Add a constant to the solution

= \frac{π x ^{2}}{2} + C

\frac{d ^{2}}{d x ^{2}} (3 x^{2} e^{x})

\int sec (2)

\frac{d}{d y} (x \cdot y^{2})

\frac{d}{d t} (- a sin (t) + b cos (t))

x \to 0 lim ((tan (8 x))^{x})