Evaluate the following integrals.(b)∫ 21xe3x dx (c)∫ cos(√x)√x dx (d)∫ x2 + 3x + 3x + 1 dx
Question
Solution 1
Sure, let's solve these integrals one by one.
(b) ∫ 21xe^3x dx
This is an example of integration by parts, which is given by ∫udv = uv - ∫vdu. We can let u = x and dv = 21e^3x dx. Then, du = dx and v = (7/3)e^3x.
So, ∫udv = uv - ∫vdu = x*(7/3)e^3x - ∫(7/3)e^3x dx = (7/3)xe^3x - (7/9)e^3x + C.
(c Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI
Similar Questions
Evaluate the following integrals.(b)∫ 21xe3x dx (c)∫ cos(√x)√x dx (d)∫ x2 + 3x + 3x + 1 dx
Evaluate the integral. (Use C for the constant of integration.)(x2 + 2x) cos(x) dx
Show that the following functions are differentiable at x = 0.(a) |x| sin x (b) x2/3 sin x (c) 3√x(1−cos x) (d) h(x) ={x2 sin(1/x), x 6 = 00, x = 0.Page 3
Question: Evaluate the following integral: ∫(x^3 + 2x^2 + 3x + 4) / (x^4 + 4x^3 + 6x^2 + 4x + 1) dx solve this integral
Question: Evaluate the following integral: ∫(x^3 + 2x^2 + 3x + 4) / (x^4 + 4x^3 + 6x^2 + 4x + 1) dx solve it at any cost
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.