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

Find $\displaystyle \int \sin(x)(a+ b\cos(x))^{m}\;dx$

Find $\displaystyle \int \frac{c}{\sqrt{a-bx^2}}\;dx$. Solution involves the inverse trigonometric function $\arcsin$.

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

Find $\displaystyle \int x(a x ^ 2 + b)^{m}\;dx$

Find an integral by choosing a suitable substitution.

Questions on integration using various methods such as parts, substitution, trig identities and partial fractions.

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

Solving integration by substitution without help

Step by step solving for integration by substitution

Integration by susbtitution, no hint given

Step by step solving for integration by substitution

Integration by susbtitution, no hint given

Questions on integration using various methods such as parts, substitution, trig identities and partial fractions.

Questions on integration using various methods such as parts, substitution, trig identities and partial fractions.

Find $\displaystyle \int x(a x ^ 2 + b)^{m}\;dx$

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 $d\times a+f \neq 0$.

Questions on integration using various methods such as parts, substitution, trig identities and partial fractions.

5 questions on using substitution to find indefinite integrals.

Integration by Substitution

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Basic indefinite integrals, Basic definite integrals, integration by substitution

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

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

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

5 questions on using substitution to find indefinite integrals.

Find $\displaystyle \int x(a x ^ 2 + b)^{m}\;dx$

Basic indefinite integrals, Basic definite integrals, integration by substitution

Missing: Area type question, solving diff eq application

Integration by susbtitution, no hint given

Integration by susbtitution, no hint given

Integration by susbtitution, no hint given