MatematikaSekolah Menengah Atas terjawab Integral X (akar x -2) dx Jawaban 6 orang merasa terbantu TnAnswering Hasilnya adalah 2x²√x/5 - x² + C Sedang mencari solusi jawaban Matematika beserta langkah-langkahnya? Pilih kelas untuk menemukan buku sekolah Kelas 4 Kelas 5 Kelas 6 Kelas 7 Kelas 8 Kelas 9 Kelas 10 Kelas 11 Kelas 12 Iklan
Explanation Let u = x2 + 1. Differentiating this shows that du = 2x.dx. We already have the integrand, so all we need to do is multiply the integrand by 2. To balance this out, multiply the exterior of the integral by 1/2. 1/3 (x^2+1)^ (3/2)+C >intx (x^2+1)^ (1/2)dx Let u=x^2+1.Validproof for integral of 1/(x2 + a2) 1 / ( x 2 + a 2) I'm trying to prove some integral table formulae and had a concern over my proof of the following formula: 1 x2 +a2 = 1 a2 ∑k=1∞ (−1)k−1(x a)2k ∀ x ∈ (−a, a) 1 x 2 + a 2 = 1 a 2 ∑ k = 1 ∞ ( − 1) k − 1 ( x a) 2 k ∀ x ∈ ( − a, a) 1 x2 +a2 = 1 a2 − x2 a4 + x4 a6
Inthis tutorial we shall find the integral of 1 over a^2-x^2. The integration is of the form. ∫ 1 a2-x2dx = 1 2aln(a + x a- x) + c ∫ 1 a 2 - x 2 d x = 1 2 a ln ( a + x a - x) + c. Now we have an integral to evaluate, I = ∫ 1 a2-x2dx ⇒ I = ∫ 1 (a- x)(a + x)dx ⇒ I = 1 2a ∫ [(a- x) +(a + x)] (a- x)(a + x) dx ⇒ ∫ sJja.integral 1 per 2 x akar x dx
