Question

2 0 интеграл (3х-4)dx

Answer 1

Решение во вложении:

Answer 2

To find the integral of the function (3x - 4) with respect to x, you can use the power rule for integration. The power rule states that the integral of x^n with respect to x is (x^(n+1))/(n+1), where n is any real number except -1. Here's how you can apply the power rule to find the integral of (3x - 4):

∫(3x - 4)dx

First, integrate each term separately:

∫3x dx - ∫4 dx

Now apply the power rule:

For the first term, the power of x is 1, so the integral is (3x)^(1+1)/(1+1) = 3x^2/2.

For the second term, the power of x is 0 (since 4 can be written as 4x^0), so the integral is (4x^0)^(0+1)/(0+1) = 4x.

Now put the results together:

∫(3x - 4)dx = 3x^2/2 - 4x + C

where C is the constant of integration.