Integration & Antiderivative of 1/(ax+b)

The antiderivative of 1/(ax+b) is 1/a ln|ax+b| + C where ln|x| = loge|x| and C is a constant. In this post, we will learn how to find the antiderivative of 1/(ax+b), that is, how to integrate 1 divided by ax+b. The antiderivative formula of 1/(ax+b), that is, the integral of 1/(ax+b) is given by ∫1/(ax+b) … Read more

Antiderivative of lnx/x: Formula, Proof | Integral of lnx/x

The antiderivative of lnx/x is equal to 1/2 (lnx)2+C where C is a constant. In this post, let’s learn how to find the antiderivative of ln(x)/x. The antiderivative formula of lnx/x is given by ∫(lnx)/x dx = 1/2 (lnx)2+C, where C is an integration constant. This is also the integral formula of lnx divided by … Read more

Integration & Antiderivative of cos2x: Formula, Proof

The antiderivative of cos2x is (sin2x)/2+C where ln denotes the logarithm with base e and C is a constant. Let us learn how to find the antiderivative of cos2x. The antiderivative formula of cos2x is given by ∫cos2x dx = $\dfrac{\sin 2x}{2}$ + C, where C is an integration constant. Find Antiderivative of cos2x The … Read more

Antiderivative of sinx and cosx: Formula, Proof

The antiderivative of sinx is -cosx+C and the antiderivative of cosx is sinx+C where C denotes a constant. In this post, we will learn what are the antiderivatives of sine functions and cosine functions. The antiderivative formula of sinx is given by ∫sinx dx = -cosx + C. The antiderivative formula of cosx is given … Read more

[Solved] What is the Antiderivative of sin2x?

The antiderivative of sin2x is (-cos2x)/2+C where ln denotes the logarithm with base e and C is a constant. In this post, we will learn what is the antiderivative of sin2x. The antiderivative formula of sin2x is given by ∫sin2x dx = $-\dfrac{\cos 2x}{2}$ + C, where C is an integration constant. How to Find … Read more

Integral & Antiderivative of cotx: Formula, Proof

The antiderivative of cotx is ln|sinx|+C where ln denotes the logarithm with base e and C is a constant. In this post, we will learn how to find the antiderivative of cotx. The integral of cotx or the antiderivative formula of cotx is given by ∫cotx dx = ln|sinx| + C, where C is an … Read more

Integral & Antiderivative of tanx: Formula, Proof

The antiderivative of tanx is loge|secx|+C where C is a constant. In this post, let us learn how to find the antiderivative of tanx. The (integral or) antiderivative formula of tanx is given by ∫tanx dx = ln|secx| + C, where ln denotes the logarithm with base e and C is an integral constant. Find … Read more

Antiderivative of lnx: Formula, Proof

The antiderivative of ln x is equal to x(ln x -1)+C where C is a constant. In this post, we will learn how to find the antiderivative of lnx. The antiderivative of ln x formula is given by ∫ lnx dx = xln x – x + C, where C is an integration constant. Find … Read more

[Solved] What is the Antiderivative of 1/x

The antiderivative of 1/x is equal to ln |x|+C where ln is the natural logarithm (with base e) and C is a constant. In this post, we will learn how to find the antiderivative of 1/x. The antiderivative of 1/x formula is given by ∫ dx/x = ln |x| + C. Find the Antiderivative of … Read more

Antiderivative of 1

The antiderivative of 1 is equal to x+C, where C is a constant. In this post, we will learn how to find the antiderivative of 1. How to Find Antiderivative of 1 The antiderivative of 1 is a function whose derivative will be equal to 1. To calculate it, we need to integrate the constant … Read more