Calculus | Senioritis

John Rhodes
June 21, 2023
Calculus

Learn How To Integrate Sin(X) With -Cos(X) + C Explained

∫sin(x)dx -cosx + c ∫sin(x)dx = -cos(x) + C where C is the constant of integration. To derive this result, we can use integration by substitution. Let...

John Rhodes
June 21, 2023
Calculus

How To Integrate Cos(X) Using The Substitution Method – Step-By-Step Guide

∫cos(x)dx sinx + c To integrate ∫cos(x)dx, we can use the integration by substitution method. Let u = sin(x), so that du/dx = cos(x)dx. Substituting u and...

John Rhodes
June 21, 2023
Calculus

Mastering Integration: A Step-By-Step Guide Using Substitution To Solve ∫Tan(X)Dx

∫tan(x)dx ln|secx|+c We can solve this integral using substitution. Let u = cos(x), then du/dx = -sin(x) and dx = du/(-sin(x)). We can also express tan(x) in...

John Rhodes
June 21, 2023
Calculus

How To Integrate Cot(X) Using The Method Of Substitution

∫cot(x)dx -ln|csc(x)| +C To integrate ∫cot(x)dx, we can use the method of substitution. Let’s consider the following substitution: u = sin(x) Then, we can express cot(x) in...

John Rhodes
June 21, 2023
Calculus

Learn How To Integrate ∫Sec(X)Dx Using U-Substitution And Trigonometric Identities

∫sec(x)dx lnIsec(x)+tan(x)I+c To integrate ∫sec(x)dx, we can use the technique of u-substitution where u = tan(x/2). Here’s the step by step process: 1. Rewrite sec(x) in terms...

John Rhodes
June 21, 2023
Calculus

How To Solve An Integral Using U-Substitution In Calculus: Step-By-Step Guide With Examples

∫csc(x)dx -lnIcsc(x)+cot(x)I+c We can solve this integral using u-substitution. Let u = sin(x), then du/dx = cos(x) and dx = du/cos(x). Substituting this into the integral: ∫csc(x)dx...

John Rhodes
June 21, 2023
Calculus

Learn How To Integrate Sin²(X) Using Trigonometric Identity | Step-By-Step Guide

∫sin²(x)dx (1/2)x-(1/2)sin(x)cos(x)+C To integrate ∫sin²(x)dx, we can use the trigonometric identity: sin²(x) = (1/2)(1-cos(2x)) Therefore, we can write: ∫sin²(x)dx = ∫(1/2)(1-cos(2x))dx Using the linearity of integration, we...

John Rhodes
June 21, 2023
Calculus

Learn How To Find The Antiderivative Of Cos²(X) In Easy Steps – Math Tutorial

∫cos²(x)dx (1/2)x+(1/2)sin(x)cos(x)+C We can start by using the formula: cos²(x) = (1 + cos(2x))/2 We can then substitute this expression into our integral and simplify: ∫cos²(x)dx =...