4x的积分怎么求 x范围0-2，那么4x的积分是多少啊，怎么算
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方法:简单的积分其他公式积分算是微分的逆运算，积分可以用来计算曲线下的面积。多项式的类型不同，积分的公式也不同。方法——1
1
1大多数多项式适用的积分公式。比如多项式：y = a*x^n.
2
2系数除以(n+1)，然后指数加上1。换句话说y = a*x^n 的积分是y = (a/n+1)*x^(n+1).
3
3对于不定积分，一个多项式对应多个，所以要加上积分常数C。因此本例的最终结果是y = (a/n+1)*x^(n+1) + C。
考虑这样一个问题：在计算微分是，所有常数项都被省略。因此，在求积分时，积分结果可以加上任意的常数。
4
4根据这个公式，计算积分。比如，y = 4x^3 + 5x^2 +3x 的积分是(4/4)x^4 + (5/3)*x^3 + (3/2)*x^2 + C = x^4 + (5/3)*x^3 + (3/2)*x^2 + C.
方法——2
1
1上文提到的公式不适用于x^-1或1/x的形式。当你计算指数为-1的指数式的积分时，其结果是自然对数的形式。换句话说(x+3)^-1的积分是ln(x+3) + C。
2
2e^x的积分就是它自身。e^(nx)的积分是1/n * e^(nx) + C；因此，e^(4x) 的积分是1/4 * e^(4x) + C。
3
3三角函数的积分需要记忆。你要记住下面的积分公式：
cos(x) 的积分是sin(x) + C
sin(x) 的积分是-cos(x) + C (note the negative sign!)
根据这两个公式，你可以计算tan(x)，即sin(x)/cos(x)的积分。 其积分是 -ln|cos x| + C ，你可以求它的微分看看。
4
4对于比较复杂的多项式，比如(3x-5)^4， 要使用替换法来求积分。引入一个变量，比如u，来代替多项式，3x-5，这样可以简化所求的式子，然后套用上面的基本积分公式。
5
5计算相乘两函数的积分，使用分部积分法。
首先4x的积分你要明白需要升次，所以升完之后为kx^2，现在只要求k就可以知道答案了，而kx^2求导是2kx，也就是说2k等于4，所以k等于2，也就是说4x的积分是2x^2
满意请采纳谢谢
解:己知:y=2x²
(1)先求导。
求 :y′=?
y′=2X2x^(2-1)
=4x
(2)再积分
∫2x²=4x+C
定积分概念的推广至积分区间无穷和被积函数在有限区间上为无界的情形成为广义积分，又名反常积分。其中前者称为无穷限广义积分，或称无穷积分；后者称为无界函数的广义积分，或称瑕积分。
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