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Exercise

$\int_0^2\left(t\left(t^2\:+\:1\right)^7\:j\:\right)\:dt$

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Final answer to the exercise

$\left(\frac{\left(2^2+1\right)^{8}}{16}- \frac{\left(0^2+1\right)^{8}}{16}\right)j$

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  • Integrate by partial fractions
  • Integrate by substitution
  • Integrate by parts
  • Integrate using tabular integration
  • Integrate by trigonometric substitution
  • Weierstrass Substitution
  • Integrate using trigonometric identities
  • Integrate using basic integrals
  • Product of Binomials with Common Term
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Main Topic: Integration by Substitution

In calculus, integration by substitution, also known as u-substitution, is a method for finding integrals. Using the fundamental theorem of calculus often requires finding an antiderivative.

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