kindly explain me solution of integration

**moonnightingale** · September 23rd 2009, 07:39 AM

1. what is the integral of exp(-2at)

2. What is integral of (Cost+5Cos2t)^2 over the range -t/2 to t/2 and t=2Pi. Kindly explain me in detail

**Prove It** · September 23rd 2009, 07:41 AM

Originally Posted by moonnightingale

1. what is the integral of exp(-2at)

2. What is integral of (Cost+5Cos2t)^2 over the range -t/2 to t/2 and t=2Pi. Kindly explain me in detail

1. We are integrating with respect to which variable?

2. Your range doesn't make sense...

**moonnightingale** · September 23rd 2009, 08:14 AM

I want to integrate with respect to dt
by range i mean range is for integration sign (above and below) i dont know how to write integration sign here

**Prove It** · September 24th 2009, 01:07 AM

Originally Posted by moonnightingale

1. what is the integral of exp(-2at)

2. What is integral of (Cost+5Cos2t)^2 over the range -t/2 to t/2 and t=2Pi. Kindly explain me in detail

1. $\int{e^{-2at}\,dt} = -\frac{1}{2a}e^{-2at} + C$

2. I know what you mean by range, I just don't understand the limits you've given me.

Is it $\int_{-\frac{t}{2}}^{\frac{t}{2}}{(\cos{t} + 5\cos{2t})^2\,dt}$ ?

**moonnightingale** · September 25th 2009, 08:12 AM

Kindly explain it

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kindly explain me solution of integration

Exactly. Same thing. Kindly explain

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