Bài 1: Nguyên hàm
Các câu hỏi tương tự
1, \(\int\dfrac{x^3dx}{\left(x^8-4\right)^2}\)
2, \(\int\dfrac{2x+1}{x^4+2x^2+3x^2+2x-3}dx\)
3, \(\int\dfrac{sin\sqrt[3]{x}}{\sqrt[3]{x^2}}dx\)
4, \(\int\dfrac{dx}{sin^2x+2cos^2x}\)
5, \(\int\dfrac{sinx+cosx}{3+sin2x}dx\)
Tìm nguyên hàm của các hàm số sau:
a) \(\int\left(6x-\dfrac{1}{sin^2x}+1\right)dx\)
b) \(\int\dfrac{x^3+2x^2-1}{x^2}dx\)
mọi người tính giúp em mấy cái nguyên hàm với :
1, intdfrac{x^2-1}{x^4+1}dx
2, intdfrac{dx}{3x^2-3}
3, intdfrac{dx}{1+sinx}
4, intdfrac{sinxdx}{sqrt{cos2x}}
5, intdfrac{xdx}{sqrt[3]{1-3x}}
6, int2^{2x}.3^{3x}.4^xdx
7,intdfrac{dx}{xlnx.lnleft(lnxright)}
8, intdfrac{dx}{sinx.cos^3x}
9, intdfrac{cos2xdx}{sin^2x.cos^2x}
10, intdfrac{dx}{sqrt{2x}-sqrt{2x+1}}
Đọc tiếp
mọi người tính giúp em mấy cái nguyên hàm với :
1, \(\int\dfrac{x^2-1}{x^4+1}dx\)
2, \(\int\dfrac{dx}{3x^2-3}\)
3, \(\int\dfrac{dx}{1+sinx}\)
4, \(\int\dfrac{sinxdx}{\sqrt{cos2x}}\)
5, \(\int\dfrac{xdx}{\sqrt[3]{1-3x}}\)
6, \(\int2^{2x}.3^{3x}.4^xdx\)
7,\(\int\dfrac{dx}{xlnx.ln\left(lnx\right)}\)
8, \(\int\dfrac{dx}{sinx.cos^3x}\)
9, \(\int\dfrac{cos2xdx}{sin^2x.cos^2x}\)
10, \(\int\dfrac{dx}{\sqrt{2x}-\sqrt{2x+1}}\)
Tính các nguyên hàm sau :
a) int xleft(3-xright)^5dx
b) intleft(2^x-3^xright)^2dx
c) int xsqrt{2-5x}dx
d) intdfrac{lnleft(cos xright)}{cos^2x}dx
e) intdfrac{x}{sin^2x}dx
intdfrac{x+1}{left(x-2right)left(x+3right)}dx
h) intdfrac{1}{1-sqrt{x}}dx
i) intsin3xcos2xdx
k) intdfrac{sin^3x}{cos^2x}dx
l) intdfrac{sin xcos x}{sqrt{a^2sin^2x+b^2cos^2x}}dx (a^2ne b^2)
Đọc tiếp
Tính các nguyên hàm sau :
a) \(\int x\left(3-x\right)^5dx\)
b) \(\int\left(2^x-3^x\right)^2dx\)
c) \(\int x\sqrt{2-5x}dx\)
d) \(\int\dfrac{\ln\left(\cos x\right)}{\cos^2x}dx\)
e) \(\int\dfrac{x}{\sin^2x}dx\)
\(\int\dfrac{x+1}{\left(x-2\right)\left(x+3\right)}dx\)
h) \(\int\dfrac{1}{1-\sqrt{x}}dx\)
i) \(\int\sin3x\cos2xdx\)
k) \(\int\dfrac{\sin^3x}{\cos^2x}dx\)
l) \(\int\dfrac{\sin x\cos x}{\sqrt{a^2\sin^2x+b^2\cos^2x}}dx\) (\(a^2\ne b^2\))
19 tháng 1 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) \(\int x.\ln(x)dx \)
\(\int\dfrac{1}{cosx.cos\left(x+\dfrac{\pi}{4}\right)}dx\)
\(\int\dfrac{1}{x^3\left(1+x^2\right)}dx=\dfrac{a}{x^2}+blnx+cln\left(1+x^2\right).S=a+b+c=?\)
\(\int\dfrac{5-3x}{\left(x^2-5x+6\right)\left(x^2-2x+1\right)}dx=\dfrac{a}{x-1}-ln\left(\dfrac{x-b}{x-c}\right)+C.P=2a+b\)
1, \(\int\dfrac{dx}{1+\sqrt{x}}\)
2, \(\int\dfrac{sinx.cos^3x}{1+sin^2x}dx\)
1, \(\int\dfrac{x}{1-cos2x}dx\)
2, \(\int cos2x.e^{3x}dx\)
3, \(\int\left(2x+1\right)ln^2dx\)
4, \(\int\left(2x-1\right)cosxdx\)
5, \(\int\left(x^2+x+1\right)e^xdx\)
6, \(\int\left(2x+1\right)ln\left(x+2\right)dx\)
tính nguyên hàm (sd pp nguyên hàm từng phần)
1. \(\int\dfrac{x}{\sin^2x}dx\)
2. \(\int\dfrac{x+1}{e^x}dx\)
3. \(\int x.\sin x.\cos xdx\)
4. \(\int e^x\sin xdx\)