integral from 0 to h of (kx+v)

Lösung

\int_{0}^{h} (k x + v) d x

h v + \frac{h ^{2} k}{2}

Schritte zur Lösung

\int_{0}^{h} k x + v d x

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{0}^{h} v d x + \int_{0}^{h} k x d x

\int_{0}^{h} v d x = h v

\int_{0}^{h} k x d x = \frac{h ^{2} k}{2}

= h v + \frac{h ^{2} k}{2}

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

\int_{- 1}^{3} 4 x^{3} + 3 x^{2} - 2 x d x

\int_{0}^{π} x sec^{2} (x) d x

\int_{- \infty}^{0} \frac{1}{5 x ^{3}} d x

\int_{0}^{\infty} 3 sin^{2} (a) d a