144 results for "indefinite".

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• Question

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

• Question

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

• Question

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

• Question

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

• Question

Find $\displaystyle\int \frac{ax^3-ax+b}{1-x^2}\;dx$. Input constant of integration as $C$.

• Question

Find $\displaystyle \int \frac{nx^3+mx^2+nx + p}{1+x^2}\;dx$. Solution involves $\arctan$.

• Question

Find $\displaystyle \int \frac{nx^3+mx^2+px +m}{x^2+1} \;dx$

• Question

Find the polynomial $g(x)$ such that $\displaystyle \int \frac{ax+b}{(cx+d)^{n}} dx=\frac{g(x)}{(cx+d)^{n-1}}+C$.

• Question

Integrate $f(x) = ae ^ {bx} + c\sin(dx) + px^q$. Must input $C$ as the constant of integration.

• Question

Find $\displaystyle \int ax ^ m+ bx^{c/n}\;dx$.

• Question

Find $\displaystyle \int ae ^ {bx}+ c\sin(dx) + px ^ {q}\;dx$.

• Question

Find $\displaystyle \int \frac{a}{(bx+c)^n}\;dx$

• Question

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

• Question

Find $\displaystyle \int \frac{2ax + b}{ax ^ 2 + bx + c}\;dx$

• Find  $\displaystyle \int\cosh(ax+b)\;dx,\;\;\int x\sinh(cx+d)\;dx$.

• Question

Integrate $f(x) = ae ^ {bx} + c\sin(dx) + px^q$. Must input $C$ as the constant of integration.

• Question

Indefinite Integrals

rebel

rebelmaths

• Question

Indefinite Integrals

rebel

rebelmaths

• Question

Simple Indefinite Integrals

• Question

Find $\displaystyle \int \frac{a}{(bx+c)^n}\;dx$

• Question

Find $\displaystyle \int \frac{a}{(bx+c)^n}\;dx$

• Question

Simple Indefinite Integrals

• Question

Simple Indefinite Integrals

• Question

Indefinite Integrals

rebel

rebelmaths

• Question

The student must perform an indefinite integration, and include a constant of integration.

A custom marking algorithm identifies the name of the student's constant of integration, and replaces it with 'c' before comparing with the expected answer.

If the student enters something like '2c' instead of 'c', it'll be marked wrong, which is an error in the marking.

• Question

5 indefinite integrals containing exponential functions

rebelmaths

• Exam (5 questions)

5 questions on using substitution to find indefinite integrals.

• Exam (7 questions)

Basic indefinite integrals, Basic definite integrals, integration by substitution

rebel

rebelmaths

• Exam (4 questions)

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

• Exam (5 questions)

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