\int 2e^{2x }dx=( )。 A. e^2^x+c B. 2e^2^x+c C. \frac {1}{2}e^ {2x}+c D. e^2^x
Evaluate:∫e2xe2x−2dx View Solution Evaluate: (i)∫e2xe2x−2dx View Solution Evaluate:∫e2x1+exdx View Solution Evaluate :∫e2xex+2dx View Solution Evaluate∫(x+e2x)dx View Solution Evaluate∫40ex1+e2xdx View Solution Evaluate:∫e−x16+9e−2xdx ...
int frac{7x^2+18x-45}{x(x-3)(x+3)}dx a. ln|frac{x^5(x-3)^4}{x+3}|+C b. ln|frac{x^5(x+3)^4}{x-3}|+C c. ln|frac{x^5(x-3)}{(x+3)^2}|+C d. ln|frac{x^5(x-3)^4}{(x+3)^2}|+C Integrate the function. \int \frac{(e^x + e^{2x})^2}{...
Find the indefinite integral: int x2 + x - 1 x2 + x dx Find the indefinite integral: int \dfrac{8}{x} dx Find the indefinite integral. ='false' \int x\sqrt x + 7 dx Find the indefinite integral\\int \frac {\frac{3}{2} e^x + 1}{(e^x + 1) \sqrt {e^{6x} + 2e^...
(13) 利用积分的线性性质,分别求解 ∫ 2e^x dx 和∫ 3/x dx,得到 2e^x + 3ln|x| + C。 (14) 同样利用积分的线性性质,分别求解 ∫ 3/(1+x^2) dx 和∫ 2/(√(1-x^2)) dx,得到 3arctan(x) - 2arcsin(x) + C。 (15) 将积分式展开,得到 ∫ e^x dx - ∫ 1/(...
Evaluate the integral: integral_1^3 (12x-S)dx Evaluate the integral. \int_{0}^{3}2e^x + 7 \cos(x)dx Evaluate the integral: \displaystyle \int \tan^6(x) \sec^4(x) \ dx Evaluate the integral. int x^2 sin(x^3) dx Evaluate the integral of (y + 1)/(y^3 + 3y^2 - ...
(13) {\int}(2e^{x}+\frac{3}{x})dx;(14) {\int}\frac{1}{1+x^{2}}\sqrt{1-x^{2}})dx
问题(13): 积分 ∫ (2e^x + 3/x) dx 可以分别对两项进行积分,得到 2e^x + 3ln|x|,加上积分常数 C,最终结果为 2e^x + 3ln|x| + C。 问题 (14): 积分 ∫ (3/(1+x^2) - 2/(√(1-x^2))) dx 可以分别对两项进行积分,得到 3arctan(x) - 2arcsin(x),加上积分...
To evaluate the integral ∫x2e−xdx, we will use the method of integration by parts. 1. Identify u and dv: Let: u=x2anddv=e−xdx 2. Differentiate u and integrate dv: Then, we compute du and v: du=2xdxandv=−e−x 3. Apply the integration by parts formula: The integrat...
Evaluate \int (dx/(256 - 289x^2)) If R = 0 leq x leq 4 and 2 leq y leq 4, evaluate int int R 3x2 + 4xy3 dA Evaluate: \int (1)/(x \sqrt{6x + 49}) dx. Evaluate \int t^2e^{4t}dt. Evaluate \int 3\sin^4 (x) \cos^2 (x) dx. ...