Use Jo x? dx = 72 to evaluate each definite integral without using the Fundamental Theorem of Calculus. x² dx x² dx (a) -6 (b) -6 (c) - 2r dx (d) 3x2 dκ

Q: Evaluate the definite integral (1+lnx)? dx a.

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Q: Evaluate the definite integral ax -dx, where a=9, b=1 and c=7. Write your b+cx2 answer up to two…

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Q: Evaluate the definite integral below. 4e3¤-1 dæ

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Q: Evaluate the integral. ∫ (x -1) Sinπ x dx

A: Let us assume u and dv

Q: Use the Fundamental Theorem of Calculus to evaluate the following definite integral. | (4x2 + 9) dx…

A: To find the value of definite integral using  fundamental theorem of calculus.

Q: Evaluate the definite integral. xe dx Jo

A: using substitution method

Q: b) (x-1)3 1 dx = ?

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Q: Use x2 dx = 9 to evaluate each definite integral without using the Fundamental Theorem of Calculus.…

A: Since the given integral contains an even function therefore we will use the properties of even…

Q: Use x2 dx = 9 to evaluate each definite integral without using the Fundamental Theorem of Calculus.…

A: a) ∫-33x2dxb) ∫-30x2dxc) ∫03-6x2dx

Q: Evaluate the definite integral. (Assume a > 0.) 'a²/5 x*Va? - x5 dx

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Q: Evaluate the definite integral

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Q: 1/6 dx 3.S T1-9x2

A: Solve the definite intregal

Q: | Vx+ + x6 dx

A: Given: The integral expression as ∫x4+x6dx, To evaluate: The value of given integral.

Q: use the Change of Variables Formula to evaluate the definite integral.

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Q: Evaluate the definite integral. (x² – 2)² dx

A: Given that a finite integral and we solve it by using general formulas of integration. Here i…

Q: Use the fundamental theorem of calculus to evaluate the following definite integral. | (3x2 + 9) dx…

A: Given query is to find the value of the integral.

Q: sinh x dx 1

A: The integral ∫sinh-1x dx can be written as ∫sinh-1x·1 dx. Now use integration by parts to evaluate…

Q: Evaluate the integral. sin dx 2 1-x

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Q: 6 Use the definition of the definite integral to evaluate | (x? - 2) dx.

A: Consider the given integral. I=∫06x2-2dx

Q: Evaluate the following indefinite integral. Do not include +C in your answer. -4x5 + xª + x² – 1)dx

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Q: 3 -1) da 1 x2

A: The given definite integral is: I=∫123x2-1dx=∫123x-2-1dx=3∫12x-2dx-∫121dx

Q: Evaluate the indefinite integral 5e^5x*sin(e^5x) *dx

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Q: Evaluate the definite integral.

A: Given: I=∫oaxx2+a2dx          , a>0 for evaluating given integral, we substitute x2+a2=t2…

Q: Evaluate the definite integral. dx 1+x

A: Evaluate: ∫05x1+xdx

Q: ii) sin5x cos*x dx

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Q: Evaluate the integral. x sin(10x) dx + C

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Q: Evaluate the indefinite integral 5e" dæ S 5e² dx +C

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Q: Evaluate the definite integrals

A: We substitute cosx =t and sinxdx=-dt

Q: Evaluate the definite integral: T/4 sin(40) de =

A: We will evaluate the definite integral in the following step.

Q: Find the indefinite integral. (Hint: x² – x-4 ) g6 – 1 dx + C

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Q: Evaluate the definite integral. 피/2 x° sin x dx -T/2 1 + x6

A: The given function is x6 sinx1+x6 We have to integrate this function over the interval -π2, π2.

Q: Evaluate the integral (exact value). e3x sin(6x) dx = -1652.086

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Q: Evaluate this definite integral using a Geometric Formula: J(8-2x dx

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Q: ne J反Inx dx

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Q: Evaluate the integral of (x^2)sin(x^2) dx as an exact answer.

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Q: Evaluate the indefinite integral. for, sin( + C

A: Product Rule of integration : ∫u.v dx= u∫v dx - ∫dudx∫v dxdx .

Q: 2 x sin xdx

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Q: T/6 sec² xdx 1+9 tan? x

A: Given query is to find the value of the integral.

Q: TT sinx sin 2x dx 2 cos x

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Q: Evaluate the definite integral T 8 sin(x)da

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Q: Evaluate the definite integral.

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Q: InX dx x7 8.

A: on solving integration by part method we get

Q: Evaluate the definite integral. '16 9e V x dx

A: Topic- Definite integration

Q: Evaluate the definite integral. dx x(1+ In æ)

A: Explained below

Q: Evaluate the definite integral. 1 e dx

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Q: Sx²e=* dx Sx²e¬

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Q: Evaluate the definite integral. Sf xVx – I dx

A: Use the substitution

Q: Evaluate the integral. 9e" sin x dx +C

A: We have to evaluate the integral ∫9ex sin x dx.

Q: Evaluate the integral ax sin bx dx

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Q: Evaluate the integral.  integral sin 9  x  dx

A: Given ∫sin9xdx