251 results for "definite".
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Question in MASH Bath: Question Bank
Calculating the area enclosed between a linear function and a quadratic function by integration. The limits (points of intersection) are given in the question.
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Question in MASH Bath: Question Bank
Calculating the definite integral $\int_{n_1}^{n_2}ax^b dx$.
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Question in Musa's workspace
Two quadratic graphs are sketched with some area beneath them shaded. Question is to determine the area of shaded regions using integration. The first graph's area is all above the $x$-axis. The second graph has some area above and some below the $x$-axis.
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Question in Musa's workspace
Definite Intgerals
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Question in Musa's workspace
Definite Integrals
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Question in Musa's workspace
Find $\displaystyle \int ae ^ {bx}+ c\sin(dx) + px ^ {q} + k/x \;dx$.
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Question in MASH Bath: Question Bank
Calculating area under curves of the form $ax^2+bx$ and $ax^4+bx^3+cx^2+dx+e$ in a contextualised problem.
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Question in MASH Bath: Question Bank
Calculating the area enclosed between a linear function and a quadratic function by integration. The limits (points of intersection) are not given in the question and must be calculated.
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Exam (5 questions) in Martin's workspace
Questions on basic integration, including indefinite and definite.
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Question in Content created by Newcastle University
Find $\displaystyle \int \frac{2ax + b}{ax ^ 2 + bx + c}\;dx$
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Question in WM175 ASSESSMENT 1
Definite integation of basic functions.
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Exam (7 questions) in Yousuf's workspace
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Question in MASH Bath: Question Bank
Calculating the area enclosed between a cosine function and a quadratic function by integration. The limits (points of intersection) are given in the question.
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Question in MASH Bath: Question Bank
Calculating the definite integral $\int_{n_1}^{n_2}a \sin(bx) dx$, where $n_1$ and $n_2$ are multiples of $\frac{\pi}{12}$.
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Question in MASH Bath: Question Bank
Calculating the definite integral $\int_{n_1}^{n_2}a \sin(bx) dx$, where $n_1$ and $n_2$ are multiples of $\frac{\pi}{12}$.
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Question in MASH Bath: Question Bank
Calculating the definite integral $\int_{n_1}^{n_2}a_1x^{b_1}+a_2x^{b_2}+a_3x^{b_3} dx$.
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Question in Martin's workspace
Indefinite integration of basic functions.
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Question in Martin's workspace
Definite integation of basic functions.
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Question in Assessment Exercises
Evaluate $\int_1^{\,m}(ax ^ 2 + b x + c)^2\;dx$, $\int_0^{p}\frac{1}{x+d}\;dx,\;\int_0^\pi x \sin(qx) \;dx$, $\int_0^{r}x ^ {2}e^{t x}\;dx$
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Question in Assessment Exercises
Evaluate $\int_1^{\,m}(ax ^ 2 + b x + c)^2\;dx$, $\int_0^{p}\frac{1}{x+d}\;dx,\;\int_0^\pi x \sin(qx) \;dx$, $\int_0^{r}x ^ {2}e^{t x}\;dx$
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Exam (5 questions) in .Integral Calculus
5 questions on definite integrals - integrate polynomials, trig functions and exponentials; find the area under a graph; find volumes of revolution.
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Exam (5 questions) in .Integral Calculus
5 questions on indefinite integration. Includes integration by parts and integration by substitution.
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Question in Gagan's workspace
indefinite integration
Find $\displaystyle \int ax ^ m+ bx^{c/n}\;dx$.
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Question in Gagan's workspace
Indefinite Integrals
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Question in Blathnaid's workspace
Find $\displaystyle \int x(a x ^ 2 + b)^{m}\;dx$
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Question in Blathnaid's workspace
Definite Intgerals
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Question in TEAME's workspace
Indefinite Integrals
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Question in Bill's workspace
Find $\displaystyle \int\frac{ax+b}{(1-x^2)^{1/2}} \;dx$. Solution involves inverse trigonometric functions.
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Question in Bill's workspace
Find $\displaystyle \int x(a x ^ 2 + b)^{m}\;dx$
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Question in Bill's workspace
Find $\displaystyle \int \frac{2ax + b}{ax ^ 2 + bx + c}\;dx$