dx V15+4x-4x²

Q: sin³y dy 1+cos y

A:

Q: Antiderivatives resulting in inverse trigonometric function secx tanx -dx J 9+ 4sec²x

A:

Q: 5) S ( cos³e de 1-sin 0

A:

Q: sec°(x) V cot(x) 6 X dx

A:

Q: dx 7. x²+6x+8 dx 8. V5x²–15 100 – 49x² dx 9.

A:

Q: 5) S dy 5.)

A: The given integral,      ∫28-y2dy

Q: Halla la derivada de la función g(x): 8 ( x ) = sin -5 √/2 - 1 dr

A:

Q: Question Evaluate the indefinite integral given below. [ (sin³ (sin³ (x) - 3 sin² (x)) (sin (x) — 4…

A: Given,             ∫sin3x-3sin2xsin4x-4sin3x6cosxdx

Q: 2 Find tan x +1 dx tan x –1

A:

Q: V. Inverse Trigonometric Function sec? xdx 1. S V5-sec² x хах 2. S -7-8х-x2

A: Integration by Substitution: The given integral ∫fxdx can be transformed into another form by…

Q: Integrating Products and Powers of Trigonometric Functions Evaluate the indefinite integral. / sin't…

A: topic- indefinite integral

Q: cos (x) tan (x) dæ

A: I have stated the used formulas in the solution

Q: INTEGRALS OF TRIGONOMETRIC FUNCTIONS, INTO INVERSE TRIGONOMETRIC FORM, INTEGRATION BY…

A: In this question, we have to evaluate the ∫ln2xdx

Q: 24 3y7 ts dy

A:

Q: Derivatives of Trigonometric Functions dy Using the formula find dx 4. y-sin (x + 3x + 1)

A:

Q: Using Secant Method find the root of f(x) = sin(x) + x^2 + e^x. using interval of [2 4] USE THREE…

A: This function does not have any root in interval [2,4]. Infact the function does notbhave any root…

Q: 7. 5*+2dx

A: This is a problem related to integration of the function. Based on the general formula we will solve…

Q: - 2x

A:

Q: INTEGRALS OF TRIGONOMETRIC FUNCTIONS, INTO INVERSE TRIGONOMETRIC FORM, INTEGRATION BY…

A:

Q: Antiderivatives resulting in inverse trigonometric function X dx x4 + 3

A: The given integration is ∫xx4+3 dx

Q: S sin® y cos" y dy cOS

A: Given,  ∫sin8y cos7y dy

Q: solve using Integration by Parts Trigonometric Integrals Trigonometric Substitutions

A:

Q: Vx²-25 dx (Integration using Trigonometric Substitution)

A: Trigonometric substitution

Q: dz 1. + 6z + 5

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: tanx sec4x dx

A:

Q: Antiderivatives resulting in inverse trigonometric function x2 -dx x4 + 3

A: I am attaching image so that you understand each and every step.

Q: 1 dx J Vx (x + 9)

A:

Q: sin²(x) + sin(x) To evaluate the xp- using basic formula of integration (without using cos (x)…

A: ∫sin2x+sinxcos2xdx

Q: x² dx Consider the integral Indicate the correct trigonometric substitution to V25 – x2 evaluate…

A:

Q: "sin²(x) + sin(x) os²(x) To evaluate the -dx using basic formula of integration (without using…

A: Let's find.

Q: 4. S cotx csc'x dx

A: According to Bartleby guidelines, Solving only one question Solve the following question using…

Q: 2) S secţz tanżz dz 1

A:

Q: 1) S csc? 2t dt

A:

Q: sec"xdx V1-4tan?x

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 2. sin° (x) cos° (x) dx

A:

Q: 4. |3 cos(2.x – / 2) cos(x+ 7 /4)dx -

A: Use substitution method to integrate the function. Substitute u=x+π4 in ∫ 3cos2x-π2cosx+π4dx. ∫…

Q: 5. sin (2x) dx

A: To evaluate: ∫sin22xdx ⇒I=∫sin22xdx We know that 1-cos2x = 2sin2x

Q: dx V9-x2

A:

Q: dx (x+1)v2x2+4x

A: Given: I=∫dxx+12x2+4x   We know that; ∫1x2+1dx=tan-1x+C   So, We can also write as:…

Q: 2.4 Evaluate the following integral : E sine Cos op -sin? 2

A:

Q: Integration by parts. cos?x – dx sin4x

A: Given:        ∫cos2xsin4xdx Rewrite/simplify using trigonometric/hyperbolic identities: we know that…

Q: 1. Siste dx It sex x

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Using trigonometric substitution in integrating sqrt (x^2 - 49), the hypotenuse side is equal to?

A:

Q: dx а. x V4+ln?x

A:

Q: coS X Find the integral of cot x using the substitution cot x = sin x

A: Given : To determine∫cotxdx using substitution

Q: (x-1) dx 3x2- 4x + 3 H5

A: ∫x-1 dx3x2-4x+3 Consider, x-1=A·d3x2-4x+3dx+B⇒x-1=A·32x-41+0+B⇒x-1=A6x-4+B…

Q: dx 6. x²-1

A: As per our guidelines we are supposed to answer only one question. Kindly repost other questions as…

Q: For nos. 6-10. Given J sin x In(cos x) dx

A:

Q: " sin²(x) + sin(x) cos²(x) To evaluate the -dx using basic formula of integration (without using…

A:

Q: SV1- vx dx ;(use ALGEBRAIC Substitution)

A: We have to solve the integration using algebraic substitution.

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.