Sr Examen
Integral de cos^2(1+3lnx) dx
Solución
Ha introducido
[src]
1 / | | 2 | cos (1 + 3*log(x)) dx | / 0
$$\int\limits_{0}^{1} \cos^{2}{\left(3 \log{\left(x \right)} + 1 \right)}\, dx$$
Integral(cos(1 + 3*log(x))^2, (x, 0, 1))
Respuesta (Indefinida)
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/ | 2 2 | 2 18*x*sin (1 + 3*log(x)) 19*x*cos (1 + 3*log(x)) 6*x*cos(1 + 3*log(x))*sin(1 + 3*log(x)) | cos (1 + 3*log(x)) dx = C + ----------------------- + ----------------------- + --------------------------------------- | 37 37 37 /
$$\int \cos^{2}{\left(3 \log{\left(x \right)} + 1 \right)}\, dx = C + \frac{18 x \sin^{2}{\left(3 \log{\left(x \right)} + 1 \right)}}{37} + \frac{6 x \sin{\left(3 \log{\left(x \right)} + 1 \right)} \cos{\left(3 \log{\left(x \right)} + 1 \right)}}{37} + \frac{19 x \cos^{2}{\left(3 \log{\left(x \right)} + 1 \right)}}{37}$$
Gráfica
Respuesta
[src]
2 2
18*sin (1) 19*cos (1) 6*cos(1)*sin(1)
---------- + ---------- + ---------------
37 37 37
$$\frac{6 \sin{\left(1 \right)} \cos{\left(1 \right)}}{37} + \frac{19 \cos^{2}{\left(1 \right)}}{37} + \frac{18 \sin^{2}{\left(1 \right)}}{37}$$
=
=
2 2
18*sin (1) 19*cos (1) 6*cos(1)*sin(1)
---------- + ---------- + ---------------
37 37 37
$$\frac{6 \sin{\left(1 \right)} \cos{\left(1 \right)}}{37} + \frac{19 \cos^{2}{\left(1 \right)}}{37} + \frac{18 \sin^{2}{\left(1 \right)}}{37}$$
18*sin(1)^2/37 + 19*cos(1)^2/37 + 6*cos(1)*sin(1)/37
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.