Solve the integral 10. 3/1- x²dx

Q: Find the integral of (2x+4)/(x^4+4)

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Q: 9. tan 2x dx 5.

A: Given: ∫0π6 tan 2x dx To solve: The given integral.

Q: Find the indefinite integral.

A: The question is taken from the calculus in which we have to find the integral  of given question We…

Q: (x+2) dx /3-2x-x2

A: Integration:                             ∫(x+2)3-2x-x2 dx

Q: Evaluate the integrals

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Q: Sæ² 1 + x²dx

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Q: Find the indefinite integral x3(sqrt(1+16x2)

A: Given

Q: Find the integral

A: To evaluate the integral: ∫x25-9x2dx Solution: ∫x25-9x2dx…

Q: 3x 3x -e

A:

Q: Find the indefinite integral ∫ 12/(1 + 9x2) dx

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Q: Find the indefinite integral of xvx+60

A: Evaluate the integral as follows.

Q: Evaluate the integral. 25 3x - 8 dx

A: *to find:- integral function.

Q: Evaluate the integral. 9. (x3 - 2x) dx -6

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Q: 5. , (6x2 – 3x + 5)d.

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Q: sin(1+In(2x))-/1+ln(2x)

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Q: Find the indefinite integral f14x In (7x)dx

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Q: Evaluate the integrals ∫8 sin4 x dx

A: We have to evaluate ∫8 sin4x dx Let substitute t=4x Differentiating both sides with respect to x,…

Q: Find the indefinite integral. Solution in handwritten. 6x² 1. Sa -dx (4x3-9)3

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Q: Evaluate the definite integral. (4x3 - бх2 - 5х) dx

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Q: evaluate the indefinite integral.

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Q: Find the integral. x° -7 dp-

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Q: Evaluate the definite integral 8 6x² +6 -dx

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Q: Find the indefinite integral. Solution in handwritten. 1. f(-8x)√3-4x²dx

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Q: Find the integral of  (-cos^-1 x)/(sqrt 1-x^2)  d

A: Consider the provided expression, ∫-cos-1x1-x2dx Find the value of the provided integral. Apply u-…

Q: find the indefinite integrals  ∫7x4dx ∫(9/x3) dx

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Q: Evaluate the integrals ∫6 tan4 x dx

A: We have to evaluate the integrals: ∫6 tan4x dx We will use following formula:…

Q: Evaluate the integrals

A: Given: Integral: ∫1e8 ln3 log3θθdθ

Q: xdx а + bx

A: Our Aim is to integrate the expression given below:-∫xa+bxdx  -(i)

Q: Solve the integral: 1 x +x²dx -

A: We need to calculate the value of ∫-1 2x+x2dx

Q: Evaluate the definite integral 7 10x² + 8 -dx 3

A: Given : Limit 3 to 7 , f(x) = ( 10x2 + 8 )/√x

Q: Evaluate the definite integral • 6 4x² + 2 -dx 2

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Q: LEvaluate the integral: 10 – 2x + x²dx. -

A: Since you have posted multiple questions, asper our policy we will answer first question. Please…

Q: Evaluate the integral. 8. (x³ - 6x) dx -8

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Q: |10dx 1

A: The integral function is ∫11110dx.

Q: (7 - t)/

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Q: Evaluate the indefinite integrals. 3x(4x-1)7dx

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Q: Evaluate the integral. 9-sin 4x 4.

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Q: d) S tanrd. cos³x

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Q: Evaluate the Integral. Solve and show the proper solution.

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Q: 6. Vex – 16dx

A: Consider, ∫ex-16 dx Substitute the value inside the radical symbol as t, we have,…

Q: -00 x2+1

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Q: Find the integral 2x /4-x4 dx

A: The given integral is ∫2x4-x4dx

Q: 3x2ex3 dx

A: We have to find the given integral.

Q: In -dx x²

A: This is a problem of integration. Based on the general formula of integral by parts we will solve…

Q: [ sec5x tan 5xdx

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Q: evaluate the indefinite integral.

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Q: Find the integral. 4 9) x4 In 2x dx A) 391.74 B) -202

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Q: Solve the integral

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Q: x-1 マーメ-1 ーズ

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Q: Evaluate the definite integral 7 8x2 + 5 -dx

A: Separate the variable

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.