Bài 1: Nguyên hàm
Các câu hỏi tương tự
19 tháng 1 2024 lúc 20:06
Tìm các nguyên hàm sau:
a) \(\int (3x^2-2x-4)dx \)
b) \(\int(\sin3x-\cos4x)dx \)
c) \(\int(e^{-3x}-4^x)dx \)
d) \(\int\ln(x)dx \)
e) \(\int(x.e^x)dx \)
f) \(\int(x+1).\sin(x)dx \)
g) \(\int x.\ln(x)dx \)
1.\(\int\dfrac{\sin2x}{\cos^4x-4}dx\)
2.\(\int\sqrt{1-x^2}dx\)
3.\(\int\dfrac{xdx}{\sqrt{1+x^4}}dx\)
giúp mình với mn
1. ʃ(cos(frac{pi}{2}x)-frac{2}{6x+5})dx
2. ʃ2x^3sqrt{4-x^4}dx
3.ʃ2xsqrt{varepsilon^{4+x^2}}dx
4.ʃxsqrt[3]{1-x^2}dx
5.ʃcosxvarepsilon^{sinchi}dx
6.ʃfrac{coschi}{1+sINx}dx
7.ʃ(x+1)sqrt{x-1}dx
8.ʃ(2 x+1)^{ }20dx
9.ʃfrac{9x^2}{sqrt{1-x^3}}dX
10.ʃfrac{chi}{sqrt{2x+3}}dx
Đọc tiếp
1. ʃ(cos(\(\frac{\pi}{2}x\))\(-\)\(\frac{2}{6x+5}\))dx
2. ʃ\(2x^3\)\(\sqrt{4-x^4}\)dx
3.ʃ2x\(\sqrt{\varepsilon^{4+x^2}}\)dx
4.ʃx\(\sqrt[3]{1-x^2}\)dx
5.ʃcosx\(\varepsilon^{\sin\chi}\)dx
6.ʃ\(\frac{\cos\chi}{1+sINx}\)dx
7.ʃ(x+1)\(\sqrt{x-1}\)dx
8.ʃ(2 x+1)\(^{ }\)20dx
9.ʃ\(\frac{9x^2}{\sqrt{1-x^3}}dX\)
10.ʃ\(\frac{\chi}{\sqrt{2x+3}}\)dx
Tính :
\(I_1=\int\dfrac{x^2-2x+2}{\sqrt{x^2-2x}}dx\)
\(I_2=\dfrac{dx}{\left(x-1\right)\sqrt{x^2-2x+2}}\)
\(I_3=\dfrac{dx}{\left(2x+1\right)\sqrt{x^2-2x+2}}\)
\(\int\left(\frac{1}{1+sinx}\right)dx\)
\(\int\left(sin^4x\right)dx\)
\(\int\left(sin^6x+cos^6x\right)dx\)
Cho \(\int\left(x\right)dx=x\sqrt{x^2+1}\). Tìm I=\(\int x.f\left(x^2\right)dx\)
Tìm các nguyên hàm sau
1.intfrac{9x^2}{sqrt{1-x^3}}dx
2.intfrac{1}{sqrt{x}left(1+sqrt{x}right)^3}dx
3.intfrac{x}{sqrt{2x+3}}dx
4.int frac{e^{2x}}{sqrt{1+e^x}} dx
5.intfrac{sqrt[3]{1+lnx}}{x}dx
6.int cosxsin3xdx
7.int (x2+2x-1)exdx
8.int excosxdx
9.int xsin(2x+1)dx
10.int (1-2x)e3xdx
Đọc tiếp
Tìm các nguyên hàm sau
1.\(\int\frac{9x^2}{\sqrt{1-x^3}}dx\)
2.\(\int\frac{1}{\sqrt{x}\left(1+\sqrt{x}\right)^3}dx\)
3.\(\int\frac{x}{\sqrt{2x+3}}dx\)
4.\(\int\) \(\frac{e^{2x}}{\sqrt{1+e^x}}\) dx
5.\(\int\frac{\sqrt[3]{1+lnx}}{x}dx\)
6.\(\int\) cosxsin3xdx
7.\(\int\) (x2+2x-1)exdx
8.\(\int\) excosxdx
9.\(\int\) xsin(2x+1)dx
10.\(\int\) (1-2x)e3xdx
\(\int\frac{x}{\left(1+2x\right)^3}dx\)
\(\int\frac{1-x^2}{x+x^3}dx\)
Tính nguyên hàm :
a) I= \(\int\dfrac{dx}{2sin^2x+5sinx.cosx+2cos^2x}\)
b) I= \(\int\dfrac{dx}{sin^2x+3sinx.cox+2cos^2x}\)
1) Tinh nguyen ham
a) A = \(\int\dfrac{x}{\sqrt{x+2}}.dx\) b) B = \(\int\dfrac{sinx+cosx}{\sqrt[3]{1-sin2x}}.dx\)