Bài 2: Tích phân
Các câu hỏi tương tự
Cho hàm số y = f(x) có đạo hàm liên tục trên đoạn [0;1] thỏa mãn f(1) = 1,\(\int_0^1xf\left(x\right)dx=\dfrac{1}{5}\), \(\int_0^1\left[f'\left(x\right)\right]^2dx=\dfrac{9}{5}\) Tính tích phân \(I=\int_0^1f\left(x\right)dx\)
\(\int_0^{\frac{\Pi}{2}}c\text{os}^2x\left(1-sin^3x\right)dx\)
2) \(\int_0^{\frac{\Pi}{4}}\frac{sin\left(x-\frac{\Pi}{4}\right)}{sin2x+2\left(1+s\text{inx}+c\text{ox}\right)}dx\)
hộ mk vs nha
1/ Iint_{-2}^2left|x^2-1right|dx2/ I int_1^esqrt{x}.lnxdx3/ I int_0^{dfrac{pi}{2}}left(e^{sinx}+cosxright)cosxdx4/ I int_0^{dfrac{pi}{2}}dfrac{sin2x}{sqrt{cos^2x+4sin^2x}}dx5/ I int_0^{dfrac{pi}{4}}sqrt{2}cossqrt{x}dx6/ I int_1^{sqrt{e}}dfrac{1}{xsqrt{1-ln^2x}}dx7/ I int_{-dfrac{pi}{4}}^{dfrac{pi}{4}}dfrac{sin^6x+cos^6x}{6^x+1}dx
Đọc tiếp
1/ I=\(\int_{-2}^2\left|x^2-1\right|dx\)
2/ I= \(\int_1^e\sqrt{x}.lnxdx\)
3/ I= \(\int_0^{\dfrac{\pi}{2}}\left(e^{sinx}+cosx\right)cosxdx\)
4/ I= \(\int_0^{\dfrac{pi}{2}}\dfrac{sin2x}{\sqrt{cos^2x+4sin^2x}}dx\)
5/ I= \(\int_0^{\dfrac{\pi}{4}}\sqrt{2}cos\sqrt{x}dx\)
6/ I= \(\int_1^{\sqrt{e}}\dfrac{1}{x\sqrt{1-ln^2x}}dx\)
7/ I= \(\int_{-\dfrac{\pi}{4}}^{\dfrac{\pi}{4}}\dfrac{sin^6x+cos^6x}{6^x+1}dx\)
tính các tích phân
1.\(\int_0^1\dfrac{4x+2}{x^2+x+1}dx\)
2.\(\int_0^1\dfrac{4x+1}{\left(2-x\right)^4}dx\)
3.\(\int_0^1\dfrac{x^2+1}{\left(x^3+3x\right)^3}dx\)
1) int lnfrac{left(1+stext{inx}right)^{1+ctext{os}x}}{1+ctext{os}x}dx
2) intleft(xlnxright)^2dx
3) intfrac{3xcosx+2}{1+cot^2x}dx
4)intfrac{2}{ctext{os}2x-7}dx
5)intfrac{1+xleft(2lnx-1right)}{xleft(x+1right)^2}dx
6) intfrac{1-x^2}{left(1+x^2right)^2}dx
7)int e^xfrac{1+stext{inx}}{1+ctext{os}x}dx
8) int lnleft(frac{x+1}{x-1}right)dx
9)intfrac{xlnleft(1+xright)}{left(1+x^2right)^2}dx
10) intfrac{lnleft(x-1right)}{left(x-1right)^4}dx
11)intfrac{x^3lnx}{sqrt{x^2+1}}dx
12)intfrac{xe^x}{_{ }...
Đọc tiếp
1) \(\int ln\frac{\left(1+s\text{inx}\right)^{1+c\text{os}x}}{1+c\text{os}x}dx\)
2) \(\int\left(xlnx\right)^2dx\)
3) \(\int\frac{3xcosx+2}{1+cot^2x}dx\)
4)\(\int\frac{2}{c\text{os}2x-7}dx\)
5)\(\int\frac{1+x\left(2lnx-1\right)}{x\left(x+1\right)^2}dx\)
6) \(\int\frac{1-x^2}{\left(1+x^2\right)^2}dx\)
7)\(\int e^x\frac{1+s\text{inx}}{1+c\text{os}x}dx\)
8) \(\int ln\left(\frac{x+1}{x-1}\right)dx\)
9)\(\int\frac{xln\left(1+x\right)}{\left(1+x^2\right)^2}dx\)
10) \(\int\frac{ln\left(x-1\right)}{\left(x-1\right)^4}dx\)
11)\(\int\frac{x^3lnx}{\sqrt{x^2+1}}dx\)
12)\(\int\frac{xe^x}{_{ }\left(e^x+1\right)^2}dx\)
13) \(\int\frac{xln\left(x+\sqrt{1+x^2}\right)}{x+\sqrt{1+x^2}}dx\)
giúp mk đc con nào thì giúp nha
Tính các tích phân sau :
a) intlimits^{dfrac{1}{2}}_{-dfrac{1}{2}}sqrt[3]{left(1-xright)^2dx}
b) intlimits^{dfrac{pi}{2}}_0sinleft(dfrac{pi}{4}-xright)dx
c) intlimits^2_{dfrac{1}{2}}dfrac{1}{xleft(x+1right)}dx
d) intlimits^2_0xleft(x+1right)^2dx
e) intlimits^2_{dfrac{1}{2}}dfrac{1-3x}{left(x+1right)^2}dx
g) intlimits^{dfrac{pi}{2}}_{-dfrac{pi}{2}}sin3xcos5xdx
Đọc tiếp
Tính các tích phân sau :
a) \(\int\limits^{\dfrac{1}{2}}_{-\dfrac{1}{2}}\sqrt[3]{\left(1-x\right)^2dx}\)
b) \(\int\limits^{\dfrac{\pi}{2}}_0\sin\left(\dfrac{\pi}{4}-x\right)dx\)
c) \(\int\limits^2_{\dfrac{1}{2}}\dfrac{1}{x\left(x+1\right)}dx\)
d) \(\int\limits^2_0x\left(x+1\right)^2dx\)
e) \(\int\limits^2_{\dfrac{1}{2}}\dfrac{1-3x}{\left(x+1\right)^2}dx\)
g) \(\int\limits^{\dfrac{\pi}{2}}_{-\dfrac{\pi}{2}}\sin3x\cos5xdx\)
\(\int_0^4\dfrac{\left(x+1\right)e^x}{\sqrt{2x+1}}dx=ae^b+c.\)Tính S=a+b+c.
Help me please...
Câu 35: Cho hàm số f(x) thỏa mãn \(\int_0^6f\left(x\right)dx=4\) và \(\int_2^6f\left(x\right)dx=-3\). Tìm tích phân I = \(\int_0^2f\left(v\right)-3dv\)
Cho \(\int_0^2f\left(x\right)=3\). Khi đó kết quả của \(\int_0^2\left[4f\left(x\right)-3\right]dx\)là?
A. 2
B. 4
C. 6
D. 8