# Evaluate: <

Let, I =

I =

I = …(1)

Using the property of definite integral:

I =

I = { sin (π/2 – x) = cos x}

I = …(2)

Adding equation 1 and 2, we get –

2I =

Using algebra of integrals we have –

2I =

2I =

I = π/12

OR

Let, I =

I =

I =

Let, I1 = and I2 =

I = 3I1 + I2 …(1)

First, we will calculate I1 and I2 and then add both to get the answer.

Calculation of I1 :

Let x2 -9x + 20 = u

du = (2x - 9)dx

(2x - 9)dx = du

I1 =

I1 = + C1

I1 = ...(2)

Calculation of I2 :

I2 =

I2 =

I2 =

Use the formula:

I2 = …(3)

From equation 1, 2 and 3 we have –

I = 3() +

I =

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses
RELATED QUESTIONS :

<span lang="EN-USRD Sharma - Volume 2

<img width=Mathematics - Exemplar

Evaluate the follRD Sharma - Volume 1

Evaluate the follRD Sharma - Volume 1

Evaluate the follRD Sharma - Volume 1

Evaluate the follRD Sharma - Volume 1

Evaluate thMathematics - Exemplar

Evaluate the follRD Sharma - Volume 1

Evaluate the follRD Sharma - Volume 1