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Find $\displaystyle \int\frac{ax+b}{(1-x^2)^{1/2}} \;dx$. Solution involves inverse trigonometric functions.

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Integration by Substitution

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Using simple substitution to find $\lim_{x \to a} bx+c$, $\lim_{x \to a} bx^2+cx+d$ and $\displaystyle \lim_{x \to a} \frac{bx+c}{dx+f}$ where $d\times a+f \neq 0$.

Straightforward solving linear equations question.

Adapted from 'Simultaneous equations by substitution 3 with parts' by Joshua Boddy.

Straightforward solving linear equations question.

Adapted from 'Simultaneous equations by substitution 3 with parts' by Joshua Boddy.

Find an integral by choosing a suitable substitution.

Find (hyperbolic substitution):
$\displaystyle \int_{b}^{2b} \left(\frac{1}{\sqrt{a^2x^2-b^2}}\right)\;dx$

Find an integral by choosing a suitable substitution.

5 questions on indefinite integration. Includes integration by parts and integration by substitution.

Find $\displaystyle I=\int \frac{2 a x + b} {a x ^ 2 + b x + c}\;dx$ by substitution or otherwise.

Algebra - substitution

5 questions on indefinite integration. Includes integration by parts and integration by substitution.

5 questions on using substitution to find indefinite integrals.

5 questions on using substitution to find indefinite integrals.

Straightforward solving linear equations question

Straightforward solving linear equations question

Straightforward solving linear equations question

Step by step solving for integration by substitution

Step by step solving for integration by substitution

Step by step solving for integration by substitution

Solving integration by substitution without help

Solving integration by substitution without help

Solving integration by substitution and rearranging $u$ for $x$