Starting a new Lecture Notes Series on Calculus - How Do You Integrate?
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Calculus - How Do You Integrate?
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Lecture 1: Introduction
Lecture 2: Integral of kdx (k=constant)
Lecture 3: Integral of kxdx (k=constant)
Lecture 4: Integral of kx+bs
Lecture 5: The Constant of Integration
Lecture 6: The General Rule of Integrating x^n
Lecture 7: A Sum of 2 Functions
Lecture 8: A Product of 2 Functions
Lecture 9: A Function with a Negative Exponents
Lecture 10: Find the Integral of ... 1/x (Method 1)
Lecture 11: Find the Integral of ... 1/x (Method 2)
Lecture 12: Find the Integral of ... e^x
Lecture 13: Find the Integral of ... e^ax
Lecture 14: Find the Integral of ... lnx
Lecture 15: Find the Integral of ... a^x
Lecture 16: Find the Integral of ... b^ax
Lecture 17: Find the Integral of ... (a^x)(lna)
Lecture 18: Find the Integral of ... cosx
Lecture 19: Find the Integral of ... sinx
Lecture 20: Find the Integral of ... cos(^2)x
Lecture 21: Find the Integral of ... f'(x)/f(x)
Lecture 22: Find the Integral of ... dx/[(a^2)+(x^2)]
Lecture 23: Find the Integral of ... dx/[(a^2)-(x^2)]
Lecture 25: Find the Integral of ... dx/[(x^2)-(a^2)]
Lecture 27: Find the Integral of ... sec(x)dx (Method 1)
Lecture 28: Find the Integral of ... sec(x)dx (Method 2)
Lecture 29: Find the Integral of ... dx/[(x^2)+(a^2)^(1/2)]
Lecture 30: Find the Integral of ... dx/[(x^2)-(a^2)^(1/2)]
Lecture 31: Find the Integral of ... x[(x^2)-(a^2)^(1/2)]dx
Lecture 33: Find the Integral of ... dx/{x[(x^2+a^2)^(1/2)]}
Lecture 34: Find the Integral of ... [(a+bx)^n]dx=?
Lecture 35: Find the Integral of ... [(a+bx)^n]dx=?
Lecture 36: Find the Integral of ... [(x^2)(a+bx)^n]dx=?
Lecture 37: Find the Integral of ...dx/(a+bx)=?
Lecture 38: Find the Integral of ...dx/[(a+bx)^2]=?
Lecture 41: Find the Integral of ...(xdx)/(a+bx)^2=?
Lecture 42: Find the Integral of ...(xdx)/(a+bx)^n=?
Lecture 43: Find the Integral of ...[(x^2)dx]/(a+bx)=?
Lecture 44: Find the Integral of ...[(x^2)dx]/(a+bx)^2=?
Lecture 45: Find the Integral of ...[(x^2)dx]/(a+bx)^3=?
Lecture 46: Find the Integral of ...[(x^2)dx]/(a+bx)^n=?
Lecture 47: Find the Integral of ...dx/[x(a+bx)]=?***
Lecture 48: Find the Integral of ...dx/[x(a+bx)^2]=?
Lecture 50: Find the Integral of ...dx/[x(a+bx)^3]=?
Lecture 51: Find the Integral of ...dx/[(x^2)(a+bx)]=?
Lecture 52: Find the Integral of ...dx/[(x^2)(a+bx)^2]=?
Lecture 53: Find the Integral of ...dx/[(x^3)(a+bx)]=?
Lecture 54: Find the Integral of ... dx/[(a^2)+(x^2)]=?
Lecture 55: Find the Integral of dx/[(a^2)-(x^2)]=?
Lecture 56: Find the Integral of dx/[(x^2)-(a^2)]=?
Lecture 57: Comparing...dx/[(a^2)-(x^2)] & dx/[(x^2)-(a^2)]
Lecture 58: Find the Integral of xdx/[(a^2)+(x^2)]=?
Lecture 59: Find the Integral of xdx/[(a^2)-(x^2)]=?
Lecture 60: Find the Integral of xdx/{[(x^2)-(a^2)]^(n+1)}=?
Lecture 61: Find the Integral of dx/[(a+bx)(c+fx)]=?
Lecture 62: Find the Integral of (xdx)/[(a+bx)(c+fx)]=?
Lecture 63: Find the Integral of (a+bx)dx/(c+fx)=?
Lecture 64: Find the Integral of dx/(a+bx^2)=?
Lecture 65: Find the Integral of dx/[(a^2)+(b^2)(x^2)]=?
Lecture 66: Find the Integral of (xdx)/[a+b(x^2)]=?
Lecture 67: Find the Integral of [(x^2)dx]/[a+b(x^2)]=?
Lecture 68: Find the Integral of dx/[a+b(x^2)]^2=?
Lecture 69: Find the Integral of dx/{x[a+b(x^2)]}=?
Lecture 70: Find the Integral of dx/{(x^2)[a+b(x^2)]}=?
Lecture 71: Find the Integral of (sinax)dx=? and (cosax)dx=?
Lecture 72: Find the Integral of tanxdx=?
Lecture 73: Find the Integral of cotxdx=?
Lecture 74: Find the Integral of cscxdx=?
Lecture 75: Find the Integral of sin^2(x)dx=?
Lecture 76: Find the Integral of sin^3(x)dx=?
Lecture 77: Find the Integral of sin^4(x)dx=?
Lecture 78: Find the Integral of cos^2(x)dx=?
Lecture 79: Find the Integral of cos^3(x)dx=?
Lecture 80: Find the Integral of cos^4(x)dx=?
Lecture 81: Find the Integral of dx/[sin^2(x)]=?
Lecture 82: Find the Integral of dx/[cos^2(x)]=?
Lecture 83: Find the Integral of [sin(mx)][sin(nx)]dx=?
Lecture 84: Find the Integral of [cos(mx)][cos(nx)]dx=?***
Lecture 85: Find the Integral of SQRT[sin(x)]dx=?
Lecture 86: Find the Integral of [sin(ax)cos(ax)]dx=?
Lecture 87: Find the Integral of [sin(mx)cos(nx)]dx=?
Lecture 88: Find the Integral of [sin^2(ax)cos^2(ax)]dx=?
Lecture 89: Find the Integral of [sin(ax)cos^m(ax)]dx=?
Lecture 90: Find the Integral of {[sin(ax)]/[cos^2(ax)]}dx=?
Lecture 91: Find the Integral of dx/[sin(ax)cos(ax)]=?
Lecture 92: Find the Integral of dx/[sin(ax)cos^2(ax)]=?
Lecture 93: Find the Integral of dx/[sin(ax)cos^n(ax)]=?
Lecture 94: Find the Integral of dx/[sin^2(ax)cos^2(ax)]=?
Lecture 95: Find the Integral of dx/[sin^2(ax)cos^2(ax)]=?
Lecture 96: Find the Integral of [sin(a+bx)]dx=?
Lecture 97: Find the Integral of dx/[(1+sin(ax)]dx=?
Lecture 98: Find the Integral of dx/[(sinx)(cos^3(x))]=?
Lecture 99: Find the Integral of [dx/(sinx)(cos^4(x))]=?
Lecture 100: Find the Integral of [dx/cos(x)]=? (method 1)
Lecture 101: Find the Integral of [[dx/cos(x)]=? (method 2)
Lecture 102: Find the Integral of {[sin^2(x)]/cos(x)}dx=?
Lecture 103: Find the Integral of {[sin^2(x)]/[cos^2(x)]}dx=?
Lecture 104: Find the Integral of [dx/cos^3(x)]=?
Lecture 105: Find the Integral of {[sin^2(x)]/[cos^3(x)]}dx=?
Lecture 106: Find the Integral of {[sin^2(x)]/[cos^4(x)]}dx=?
Lecture 107: Find the Integral of {[sin^3(x)]/cos(x)}dx=?
Lecture 108: Find the Integral of {[sin^3(x)]/[cos^2(x)]}dx=?
Lecture 109: Integral of {[sin^3(x)]/[cos^3(x)]}dx=? (Method 1)
Lecture 110: Integral of {[sin^3(x)]/[cos^3(x)]}dx=? (Method 2)