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Integration by Substitution


Definition

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.


Problems Solved

Find the integral $\int\frac{1}{2} e^{2x}dx$
Find the integral $\int\frac{1}{2\left(x-1\right)}dx$
Find the integral $\int c e^{\frac{3x}{2}}dx$
Find the integral $\int\tan\left(4\cdot3\cdot x\right)\cdotd\cdot x\cdot dx$
$\frac{dx}{dy}+y=e^3x$
Find the integral $\int\sqrt{m+nx}dx$
$\frac{dx}{dy}=\frac{xy+y+3x+3}{xy+2y-x-2}$
Find the integral $\int\sin\left(\frac{x}{4}\right)dx$

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Related Topics

Integrals by Partial Fraction Expansion
Trigonometric Integrals
Integration by Parts
Integration by Trigonometric Substitution
Tabular Integration
Weierstrass Substitution

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