NettetThe integral of a constant is the constant times the variable of integration: ∫ 1 2 d u = u 2. The integral of a constant times a function is the constant times the integral of the … NettetThe definite integral of a function gives us the area under the curve of that function. Another common interpretation is that the integral of a rate function describes the accumulation of the quantity whose rate is given. We can approximate integrals using Riemann sums, and we define definite integrals using limits of Riemann sums. The …

Derivative Calculator • With Steps!

NettetAnswer (1 of 8): sin^3(x) = sin^2(x)*sin(x)=(1-cos^2(x))(sin(x)) Now set u = cos(x), du = -sin(x) So the integrand becomes -(1-u^2)du, which is easy to integrate. It becomes (1/3)u^3 -u + C. Plug in cos(x) for u after … NettetYes that is a good start. Letting, as you say, t 3 = x + 1 then 1 1 + x + 1 3 becomes 1 1 + t. To complete the problem, use the fact that 3 t 2 d t = d x. Then the integral is ∫ 3 t 2 d t … things to do whilst pregnant

Find the integral of y = f (y) = -50*sin (y)* (cos (y))³ (minus 50 ...

NettetLearn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. Khan Academy is a nonprofit with the mission of providing a free, world-class education for anyone, anywhere. Nettet2. des. 2014 · 2. You can also try this one if you want. Expanding sin cos x in Taylor series expansion. sin cos x = cos x - cos 3 x /3! + cos 5 x /5! - cos 7 x /7!+ -..... Then one can integrate term by term. There is no closed form solution exists for this function as Lucian suggested. Share. Nettet18. mar. 2016 · intsin^3(x)dx = 1/3cos^3(x)-cos(x)+C intsin^3(x)dx = intsin(x)(1-cos^2(x))dx =intsin(x)dx - intsin(x)cos^2(x)dx For the first integral: intsin(x)dx = -cos(x)+C For the … things to do whyy