x sinx dx Doubtnut is No.1 Study App and Learning App with Instant Video Solutions for NCERT Class 6, Class 7, Class 8, Class 9, Class 10, Class 11 and Class 12, IIT JEE prep, NEET preparation and CBSE, UP Board, Bihar Board, Rajasthan Board, MP Board, Telangana Board etc ...
Integrate: ∫xexdx Integration: For any two functions f(x) and g(x), the integration by parts rule is defined as follows ∫f(x) g(x) dx=f(x)∫g(x) dx−∫(ddx(g(x) ∫g(x) dx) dx Also, note that in the integration by parts rule, use the ILATE concept while taking...
$$ \int _ { 0 } ^ { 1 } $$xe*dx 相关知识点: 试题来源: 解析 原函数为e的x次方的2分之一x的平方,x为1时y为根号下e,为O时为1,则答案为根号下e减1 结果一 题目 F/ F → 答案 【答案】;;;点Q的坐标为,或或或.【解析】将点代入抛物线的解析式得:-1-b+3=0,解得:b=2,.抛物线的...
利用\int vdu=uv- \int udv 不定积分 \int xe^{-x}dx=- \int xde^{-x} =-(xe^{-x}- \int e^{-x}dx) =-(xe^{-x}+e^{-x}) =-e^{-x}(x+1)+C 所以不定积分 \int xe^{-x}dx =-e^{-x}(x+1)+C 综上, ^{^{\circ}} 为正确选项。 不定积分 如果 F'(x)...
I = int e^(x) { f (x) + f' (x) } dx can be found using segmented integration. As I = int e^(x) f (x) + dx + int e^(x) f' (x) dx = int e^(x) dx + e^(x) f (x) - int e^(x) f (x) dx + c = e^(x) f (x) + c And int e^(ax) { f (x)...
Answer to: Find the Integral using integration by parts: \int xe^{x} dx By signing up, you'll get thousands of step-by-step solutions to your...
{eq}\int_{0}^{2} xe^{5x} {/eq} dx Definite Integral in Calculus: If a function {eq}f(x) {/eq} is continuous on the interval {eq}\left[ a,b \right] {/eq} then the definite integral of {eq}f(x) {/eq} from {eq}a {/eq} to {eq}b {/eq} is {eq}\displaystyle \in...
结果1 题目 $$ \intxe^{x}dx $$ 相关知识点: 力学 曲线运动 圆周运动 向心力 向心力来源及分析 试题来源: 解析 解: $$ \intxe^{x}dx= \int xde^{x} \\ =xe^{x}- \int e^{x}dx \\ =(x-1)e^{x}+C $$ 反馈 收藏 ...
3、计算广义积分 \int xe^{-x}dx 相关知识点: 试题来源: 解析答:∫ xe^(-x) dx=-∫ x d[ e^(-x) ]=-xe^(-x)+∫ e^(-x) dx=-xe^(-x)-e^(-x)+C=-(x+1)e^(-x)+C原式=[ lim(x→+∞) -(x+1) /e^x ] - (-1)=...
{eq}\displaystyle \int xe^x\,dx {/eq} Integration by Parts: In integration by parts, we are presented with the product of two functions, and the formula is {eq}\int {udv} = uv - \int {vdu} {/eq}. It transforms the integration of the product of the functions into conveniently co...