Matematika

Pertanyaan

selesaikan integral 2x sin (x^2 - 5) cos^3 (x^2 - 5) dx

1 Jawaban

  • [tex]\int 2x\sin(x^2-5)\cos^3(x^2-5)$ dx$ \\ u=x^2-5, du=2x$ dx$ \\ \int \sin u\cos^3 u$ du$ \\ -\int \cos^3u$ d\cos u \\ -\frac{1}{4} \cos^4u+C \\ -\frac{1}{4}\cos(x^2-5)+C[/tex]

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