Integrals Involving Transcendental Functions

March 23, 2008

Evaluate the following integrals.

  1. \displaystyle \int_{\frac{\pi}{6}}^{\frac{\pi}{4}}\frac{\ln^{2}\left(\sin x\right)}{\tan x}\: dx
  2. \displaystyle \int\frac{2^{x}\: dx}{\left(2^{x}+1\right)\sqrt{4^{x}+2^{x+1}-8}}
  3. \displaystyle \int\frac{dx}{x+4\sqrt{x}+13}

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Posted by wMw

Integrals of Some Transcendental Functions

March 21, 2008

Evaluate the following integrals:

1. \displaystyle\int \frac{x^2}{1-\cosh^2 (x^3)} \ dx
2. \displaystyle\int 5^x \cot \big( 5^x \big) \ dx
3. \displaystyle\int \frac{dx}{x\sqrt{9x^4-16}}
4. \displaystyle\int\frac{x^2-4x+3}{x^2-4x+5} \ dx

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Posted by ldvallejo

Indefinite Integrals: Substitution Rule

March 5, 2008

Evaluate the following integrals:

  1. \displaystyle \int \frac{x^3}{\sqrt{x^2 + 25}}\ dx
  2. \displaystyle \int \tan^2 \theta \sec^4 \theta\ d \theta
  3. \displaystyle \int \sqrt[3]{x^2 - 2x + 1}\ dx

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Posted by Tina