¿Cómo se resuelve la siguiente integral? $$\int_0^3e^{-x^2}.\ 2x\ dx$$

Por sustitución haciendo $$u=-x^2$$

Por sustitución haciendo $$u=2x^2$$

Por partes haciendo $$u=2x$$ y $$dv=e^{-x^2}dx$$

Aplicando partes empleando la regla ILATE

La fórmula para calcular el área de la figura es:

∫ a b ( f ( x ) − g ( x ) ) d x \int_a^b\left(f\left(x\right)-g\left(x\right)\right)dx ∫ a b ( f ( x ) − g ( x ) ) d x

∫ a b ( f ( x ) + g ( x ) ) d x \int_a^b\left(f\left(x\right)+g\left(x\right)\right)dx ∫ a b ( f ( x ) + g ( x ) ) d x

∫ a c ( f ( x ) − g ( x ) ) d x + ∫ c b ( g ( x ) − f ( x ) ) d x \int_a^c\left(f\left(x\right)-g\left(x\right)\right)dx+\int_c^b\left(g\left(x\right)-f\left(x\right)\right)dx ∫ a c ( f ( x ) − g ( x ) ) d x + ∫ c b ( g ( x ) − f ( x ) ) d x

∫ a b ( g ( x ) − f ( x ) ) d x \int_a^b\left(g\left(x\right)-f\left(x\right)\right)dx ∫ a b ( g ( x ) − f ( x ) ) d x

∫(x 2 - 3) (2x 3 - 18x) 12 dx es una integral

Reducible o por cambio de variable

La integral ∫ x s e n x d x \int xsenxdx ∫ x s e n x d x es:

− x cos ⁡ x + s e n x + c -x\cos x+sen\ x+c\ − x cos x + s e n x + c

− x s e n x + cos ⁡ x + c -x\ sen\ x+\cos\ x\ +c\ − x s e n x + cos x + c

x cos ⁡ x + s e n x + c x\ \cos x\ +sen\ x+c\ x cos x + s e n x + c

x s e n x − cos ⁡ x + c xsen\ x-\cos\ x\ +c x s e n x − cos x + c

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